<?xml version="1.0" encoding="UTF-8"?>
<Worksheet>
<Version major="17" minor="0"/>
<Label-Scheme value="2" prefix=""/>
<View-Properties presentation="true" autoexpanding_sections="true"><Zoom percentage="125"/>
</View-Properties>
<MapleNet-Properties elisiondigitsbefore="100" labelling="true" indentamount="4" elisiontermsthreshold="10000" ansi="false" errorbreak="1" useclientjvm="true" echo="1" imaginaryunit="I" labelwidth="20" contextmenusize="automatic" plotdriver="opengl" elisiondigitsafter="100" plotoutput="terminal" helpbrowser="standard" rtablesize="10" elisiontermsbefore="100" elisiondigitsthreshold="10000" typesetting="standard" plotdevice="inline" verboseproc="1" showassumed="1" errorcursor="false" longdelim="true" plotoptions="" quiet="false" elisiontermsafter="100" screenwidth="79" preplot="" prettyprint="3" displayprecision="-1" screenpixelheight="1050" warnlevel="3" screenheight="25" latexwidth="8.0" postplot="" prompt="&gt; " ShowLabels="true"/>
<Styles>
<Font name="Ordered List 1" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 2" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 3" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 4" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 5" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Author" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Warning" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Caption Reference" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input Placeholder" background="[255,255,255]" bold="true" executable="true" family="Courier New" foreground="[200,0,200]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="true"/>
<Font name="Maple Plot" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Code" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Line Printed Output" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text Output" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Diagnostic" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[40,120,40]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Inert Output" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[144,144,144]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Normal" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Times New Roma" foreground="[0,128,128]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Maple Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Dash Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Math" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input" background="[255,255,255]" bold="true" executable="true" family="Courier New" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Input" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="HyperlinkError" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Header and Footer" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Error" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 1" background="[255,255,255]" bold="true" executable="false" family="Times New Roma" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,128]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Bullet Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 4" background="[255,255,255]" bold="false" executable="false" family="Times New Roma" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Equation Label" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 3" background="[255,255,255]" bold="true" executable="false" family="Times New Roma" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 2" background="[255,255,255]" bold="true" executable="false" family="Times New Roma" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="16" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="HyperlinkWarning" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Dictionary Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Times New Roma" foreground="[147,0,15]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Atomic Variable" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[175,0,175]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Caption Text" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="List Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Layout name="Ordered List 1" alignment="left" bullet="numeric" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 2" alignment="left" bullet="alphabetic" firstindent="0" leftmargin="36" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 3" alignment="left" bullet="roman" firstindent="0" leftmargin="72" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 4" alignment="left" bullet="ALPHABETIC" firstindent="0" leftmargin="108" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 5" alignment="left" bullet="ROMAN" firstindent="0" leftmargin="144" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Author" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="8" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Warning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Annotation Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Maple Plot" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Line Printed Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Text Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="newline" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Diagnostic" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Normal" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Maple Output" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.3" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Dash Item" alignment="left" bullet="dash" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="HyperlinkError" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Error" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 1" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="4" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Bullet Item" alignment="left" bullet="dot" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 4" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 3" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 2" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="2" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="HyperlinkWarning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="List Item" alignment="left" bullet="indent" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 2" pen-color="[0,0,255]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 1" pen-color="[255,153,255]" pen-height="12.0" pen-width="8.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 4" pen-color="[0,255,255]" pen-height="32.0" pen-width="32.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 3" pen-color="[51,255,0]" pen-height="24.0" pen-width="24.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/>
</Styles>
<Metadata-table>
    <Metadata-category name="&lt;default&gt;"/>
    <Metadata-tag id="0" category="&lt;default&gt;" name="Document Properties">
        <Metadata-attribute name="Subject" value="&lt;default&gt;"/>
        <Metadata-attribute name="Author" value="&lt;default&gt;"/>
        <Metadata-attribute name="Item List" value="false"/>
        <Metadata-attribute name="Title" value="&lt;default&gt;"/>
        <Metadata-attribute name="Keywords" value="&lt;default&gt;"/>
    </Metadata-tag>
</Metadata-table>
<Task-table>
    <Task-category name="&lt;default&gt;"/>
</Task-table>
<Task/><Table interior="none" showinput="true" alignment="center" exterior="none" width="74.03551745254134%" labelreference="L1560" showlabel="true" captionalignment="0" title="" drawtitle="false" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="cell" postexecute="insert" showgroup="true"><Table-Column weight="108" separator="true"></Table-Column><Table-Column weight="188" separator="true"></Table-Column><Table-Column weight="609" separator="true"></Table-Column><Table-Column weight="304" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="4" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
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<Text-field style="Text" layout="Normal">Using Theodorsen will help us to calculate the reaction of profile to unsteady aerodynamic forces. </Text-field>
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<Text-field style="Text" layout="Normal">Here, we calculate the aerodynamic forces and moment applying on profile:</Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
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<Text-field style="Text" layout="Normal">And therefore, the whole force and moment applying on profile is:</Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
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<Text-field style="Text" layout="Normal">And using the relation <Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY1LUkjbWlHRiQ2JVEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYjUSdgel9fMGBGJy1GNjYtUScmc2RvdDtGJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GVi1JJW1zdXBHRiQ2JS1GLDYlUSJlRidGL0YyLUYjNiUtRiw2JVEpSSYjOTY5O3RGJ0YvRjJGL0YyLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy1GNjYtUSJ+RidGOUY7Rj5GQEZCRkRGRkZIRlVGV0Zgb0Zgby1GNjYtUSIsRidGOUY7L0Y/RjFGQEZCRkRGRkZIRlUvRk5RLDAuMzMzMzMzM2VtRidGYG9GYG9GYG8tRiw2JVEnJiM5NTI7RicvRjBGPUY5RjUtRiw2I1EtYCZ0aGV0YTtfXzBgRidGUi1GWTYlRmVuLUYjNiRGam5GOUZdb0Zgb0Y5</Equation> we get:</Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
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<Input>
<Text-field style="Text" layout="Normal">Now, we will define the oscillatory derivative:</Text-field>
</Input>
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<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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<Text-field style="Text" layout="Normal">So, now  we get:</Text-field>
</Input>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21466" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY9LUkjbWlHRiQ2JVEiTEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUScmIzk2MTtGJy9GMEY9RjktRjY2LVEnJnNkb3Q7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORlctSSVtc3VwR0YkNiUtRiw2JVEiVkYnRi9GMi1GIzYlLUkjbW5HRiQ2JFEiMkYnRjlGL0YyLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0ZTLUYsNiVRImJGJ0YvRjJGUy1JKG1mZW5jZWRHRiQ2JC1GIzYqLUZmbzYkLUYjNiotRiw2I1EnYExfX3pgRictRjY2LVEiK0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZlcC1GLDYlUSJJRidGL0YyRlMtRiw2JVEia0YnRi9GMkZTLUklbXN1YkdGJDYmRistRiM2JS1JJm1vdmVyR0YkNiUtRiw2JVEiekYnRi9GMi1GIzYlLUY2Ni1RIi5GJ0Y5RjtGPkZARkJGREZGRkhGVkZYRi9GMi9GSUYxRi9GMi8lL3N1YnNjcmlwdHNoaWZ0R0Zhby9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnRjlGOUZTLUkmbWZyYWNHRiQ2KC1GLDYjUSdgel9fMGBGJy1GIzYlRmJvRi9GMi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGYHMvJSliZXZlbGxlZEdGPUZhcC1GZm82JC1GIzYqLUYsNiNRLWBMX18mdGhldGE7YEYnRmFwRmdwRlNGanBGUy1GXnE2JkYrLUYjNiUtRmNxNiUtRiw2JVEnJiM5NTI7RidGUkY5RmhxRl1yRi9GMkZeckZgckY5RjlGUy1GLDYjUS1gJnRoZXRhO19fMGBGJ0Y5RjlGUy1GWjYlLUYsNiVRImVGJ0YvRjItRiM2KUZncEZTLUYsNiVRJyYjOTY5O0YnRlJGOUZTLUYsNiVRInRGJ0YvRjJGL0YyRl9vLUYsNiNRIUYnLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHRlcvJSZkZXB0aEdGXXYvJSpsaW5lYnJlYWtHUShuZXdsaW5lRictRiw2JVEiTUYnRi9GMkY1Rk9GUy1GWjYlRmZuLUYjNiRGW29GOUZfb0ZTLUZaNiVGYm9GaW5GX29GUy1GZm82JC1GIzYqLUZmbzYkLUYjNiotRiw2I1EnYE1fX3pgRidGYXBGZ3BGU0ZqcEZTLUZecTYmRmV2LUYjNiQtRmNxNiVGZXEtRiM2JEZqcUY5Rl1yRjlGXnJGYHJGOUY5RlMtRmRyNihGZnItRiM2JEZib0Y5RltzRl5zRmFzRmNzRmFwLUZmbzYkLUYjNiotRiw2I1EtYE1fXyZ0aGV0YTtgRidGYXBGZ3BGU0ZqcEZTLUZecTYmRmV2LUYjNiQtRmNxNiUtRiw2JVEoJnRoZXRhO0YnRlJGOUZfeEZdckY5Rl5yRmByRjlGOUZTRmV0RjlGOUZTLUZaNiVGanQtRiM2KEZncEZTRl91RlNGYnVGOUZfb0ZldUZldUY5</Equation></Text-field>
</Input>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21451" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Now, we use the relations <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21467" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21472" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">And get:</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21470" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21452" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">So the following system:</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
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<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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<Text-field style="Text" layout="Normal"></Text-field>
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<Text-field style="Text" layout="Normal">In order to find the influence of this matrix on the whole system we need to multiply them by the dynamic system eigenvalues:</Text-field>
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<Text-field style="Text" layout="Normal"></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
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<Text-field style="Text" layout="Normal">So we can get <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5Njk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5Njk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation> of the wing. </Text-field>
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<Text-field style="Text" layout="Normal">Now we will write the generalized form:</Text-field>
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<Text-field style="Text" layout="Normal">And now we can examine the influence of each mode on the stiffness and damping for the values of the non-dimentional frequency <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> .</Text-field>
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<Text-field style="Heading 1" layout="Heading 1">Wing Data</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal">The given data of the wing:</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="l := .750:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEibEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkjbW5HRiQ2JFEmMC43NTBGJ0Y5LUY2Ni1RIjpGJ0Y5RjtGPkZARkJGREZGRkhGSkZNLUY2Ni1RIn5GJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GWi8lK2V4ZWN1dGFibGVHRj1GOQ==">QyQ+SSJsRzYiJCIkXSghIiQhIiI=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="x__ac := .25*c:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2I1EoYHhfX2FjYEYnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctSSNtbkdGJDYkUSUwLjI1RidGMy1GMDYtUScmc2RvdDtGJ0YzRjZGOUY7Rj1GP0ZBRkMvRkZRJjAuMGVtRicvRklGUi1GLDYlUSJjRicvJSdpdGFsaWNHUSV0cnVlRicvRjRRJ2l0YWxpY0YnLUYwNi1RIjpGJ0YzRjZGOUY7Rj1GP0ZBRkNGRUZILyUrZXhlY3V0YWJsZUdGOEYz">QyQ+SSZ4X19hY0c2IiwkSSJjR0YlJCIjRCEiIyEiIg==</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="EI := 15:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjRUlGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIzE1RidGOS1GNjYtUSI6RidGOUY7Rj5GQEZCRkRGRkZIRkpGTS8lK2V4ZWN1dGFibGVHRj1GOQ==">QyQ+SSNFSUc2IiIjOiEiIg==</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="c := 0.75e-1:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkjbW5HRiQ2JFEmMC4wNzVGJ0Y5LUY2Ni1RIjpGJ0Y5RjtGPkZARkJGREZGRkhGSkZNLyUrZXhlY3V0YWJsZUdGPUY5">QyQ+SSJjRzYiJCIjdiEiJCEiIg==</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="x__ea := .4*c:" display="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">QyQ+SSZ4X19lYUc2IiwkSSJjR0YlJCIiJSEiIkYq</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="GJ := 19:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjR0pGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIzE5RidGOS1GNjYtUSI6RidGOUY7Rj5GQEZCRkRGRkZIRkpGTS8lK2V4ZWN1dGFibGVHRj1GOQ==">QyQ+SSNHSkc2IiIjPiEiIg==</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21193" drawlabel="true" redirect-target="L21214">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="d := x__ea-x__cg:" display="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">QyQ+SSJkRzYiLCZJJnhfX2VhR0YlIiIiSSZ4X19jZ0dGJSEiIkYq</Equation></Text-field>
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L21193" view="label" executable="true"></Label>); # input placeholder</Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21575" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="x__cg := x__ea-.1*c:" display="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">QyQ+SSZ4X19jZ0c2IiwmSSZ4X19lYUdGJSIiIkkiY0dGJSQhIiJGK0Yr</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="t := 9.5*10^(-3):" display="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">QyQ+SSJ0RzYiLCQtSSJeRyUqcHJvdGVjdGVkRzYkIiM1ISIkJCIjJiohIiJGLw==</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="m__wing := .35:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EqYG1fX3dpbmdgRictSSNtb0dGJDYtUSomY29sb25lcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRy1JI21uR0YkNiRRJTAuMzVGJ0YzLUYwNi1RIjpGJ0YzRjZGOUY7Rj1GP0ZBRkNGRUZILyUrZXhlY3V0YWJsZUdGOEYz">QyQ+SShtX193aW5nRzYiJCIjTiEiIyEiIg==</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" opaque="true" background="[255,255,0]" layout="Normal"><Equation executable="true" style="2D Input" input-equation="m__b := 150*(1/1000):" display="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">QyQ+SSVtX19iRzYiLUkiKkclKnByb3RlY3RlZEc2JCIkXSIjIiIiIiUrNSEiIg==</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" opaque="true" background="[255,255,0]" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21128" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="l__rod := .5:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2I1EpYGxfX3JvZGBGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUkjbW5HRiQ2JFEkMC41RidGMy1GMDYtUSI6RidGM0Y2RjlGO0Y9Rj9GQUZDRkVGSC8lK2V4ZWN1dGFibGVHRjgvJTBmb250X3N0eWxlX25hbWVHUSgyRH5NYXRoRidGMw==">QyQ+SSdsX19yb2RHNiIkIiImISIiRig=</Equation></Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21215" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21207" drawlabel="true" redirect-target="L8407">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="m__rod := 50*(1/1000):" display="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">QyQ+SSdtX19yb2RHNiItSSIqRyUqcHJvdGVjdGVkRzYkIiNdIyIiIiIlKzUhIiI=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21216" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21208" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`C__L,\316\261` := 2*Pi:" display="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">QyQ+SS1DX19MLCZhbHBoYTtHNiIsJEkjUGlHJSpwcm90ZWN0ZWRHIiIjISIi</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21079" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21148" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="b := (1/2)*c:" display="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">QyQ+SSJiRzYiLCRJImNHRiUjIiIiIiIjISIi</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21108" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21189" drawlabel="true" redirect-target="L24">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21190" drawlabel="true" redirect-target="L6710">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Font style="Text">
</Font></Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21197" drawlabel="true" redirect-target="L21166">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="e := abs(x__ea-x__ac)" display="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">PkkiZUc2Ii1JJGFic0clKnByb3RlY3RlZEc2IywmSSZ4X19lYUdGJCIiIkkmeF9fYWNHRiQhIiI=</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21167" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"> = </Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="true" labelreference="L21166" drawlabel="true" redirect-source="L21197">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L21197" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">JCIlRDYhIiY=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21202" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21171" drawlabel="true" redirect-target="L21169">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L21169" drawlabel="true" redirect-source="L21171">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L21171" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21098" drawlabel="true" redirect-target="L21157">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="a := .1500000000*c-0.5e-1" display="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">PkkiYUc2IiwmSSJjR0YkJCIrKysrKzohIzUkISImISIjIiIi</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21155" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"> = </Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="true" labelreference="L21157" drawlabel="true" redirect-source="L21098">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L21098" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">JCErKysrdlEhIzY=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21170" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21099" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21082" drawlabel="true" redirect-target="L8399">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="N := 100:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkjbW5HRiQ2JFEkMTAwRidGOS1GNjYtUSI6RidGOUY7Rj5GQEZCRkRGRkZIRkpGTS8lK2V4ZWN1dGFibGVHRj1GOQ==">QyQ+SSJORzYiIiQrIiEiIg==</Equation></Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21184" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21093" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The length and the surface area of each element is:</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21084" drawlabel="true" redirect-target="L21080">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="l__e := l/N" display="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">PkklbF9fZUc2IiomSSJsR0YkIiIiSSJOR0YkISIi</Equation></Text-field>
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<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21095" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"> = </Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="true" labelreference="L21080" drawlabel="true" redirect-source="L21084">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L21084" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">JCIrKysrK3YhIzc=</Equation></Text-field>
</Output>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21160" drawlabel="true" redirect-target="L21104">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="m := 2*m__wing/N" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEibUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkjbW5HRiQ2JFEiMkYnRjktRjY2LVEnJnNkb3Q7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORlctSSZtZnJhY0dGJDYoLUYsNiNRKmBtX193aW5nYEYnLUYjNiUtRiw2JVEiTkYnRi9GMkYvRjIvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmNvLyUpYmV2ZWxsZWRHRj0vJStleGVjdXRhYmxlR0Y9Rjk=">PkkibUc2IiwkKiZJKG1fX3dpbmdHRiQiIiJJIk5HRiQhIiIiIiM=</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21191" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"> = </Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="true" labelreference="L21104" drawlabel="true" redirect-source="L21160">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L21160" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">JCIrKysrK3EhIzc=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21103" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21227" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The number of modes we want to check </Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21228" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="mN := 2:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjbU5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjJGJ0Y5LUY2Ni1RIjpGJ0Y5RjtGPkZARkJGREZGRkhGSkZNLyUrZXhlY3V0YWJsZUdGPUY5">QyQ+SSNtTkc2IiIiIyEiIg==</Equation></Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21212" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Global Stiffness and Inertia Matrix</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21194" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The element stiffness Matrix is:</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21204" drawlabel="true" redirect-target="L21203">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal" alignment="centred"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2I1EnYEtfX2VgRictSSNtb0dGJDYtUSomY29sb25lcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRy1JJm1mcmFjR0YkNigtRiw2JVEjRUlGJy8lJ2l0YWxpY0dRJXRydWVGJy9GNFEnaXRhbGljRictRiM2Jy1JJW1zdXBHRiQ2JS1GLDYjUSdgbF9fZWBGJy1GIzYkLUkjbW5HRiQ2JFEiM0YnRjNGMy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRictRiw2I1EhRicvJStleGVjdXRhYmxlR0Y4LyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnRjMvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRl1wLyUpYmV2ZWxsZWRHRjhGYG8tSShtYWN0aW9uR0YkNiQtRiM2Ji1JKG1mZW5jZWRHRiQ2KC1GIzYoRmBvLUknbXRhYmxlR0YkNjotSSRtdHJHRiQ2Ky1JJG10ZEdGJDYoLUYjNiYtRmpuNiRRIzEyRidGM0Zjb0Zlb0YzLyUpcm93YWxpZ25HRmJvLyUsY29sdW1uYWxpZ25HRmJvLyUrZ3JvdXBhbGlnbkdGYm8vJShyb3dzcGFuR0Zqby8lK2NvbHVtbnNwYW5HRmpvLUZjcTYoLUYjNigtRmpuNiRRIjZGJ0YzLUYwNi1RJyZzZG90O0YnRjNGNkY5RjtGPUY/RkFGQy9GRlEmMC4wZW1GJy9GSUZfc0ZaRmNvRmVvRjNGanFGXHJGXnJGYHJGYnItRmNxNigtRiM2Ji1Gam42JEZfb0YzRmNvRmVvRjNGanFGXHJGXnJGYHJGYnItRmNxNigtRiM2Jy1GMDYtUSomdW1pbnVzMDtGJ0YzRjZGOUY7Rj1GP0ZBRkMvRkZRLDAuMjIyMjIyMmVtRicvRklGX3RGZ3FGY29GZW9GM0ZqcUZcckZeckZgckZici1GY3E2KC1GIzYoRmBvRmZyRmBvRmNvRmVvRjNGanFGXHJGXnJGYHJGYnJGYXNGanFGXHJGXnItRmBxNitGYXQtRmNxNigtRiM2KC1Gam42JFEiNEYnRjNGW3MtRlg2JUZaLUYjNiUtRmpuNiRRIjJGJ0YzRlBGU0Zdb0Zjb0Zlb0YzRmpxRlxyRl5yRmByRmJyRmFzLUZjcTYoLUYjNilGW3RGaHJGW3NGWkZjb0Zlb0YzRmpxRlxyRl5yRmByRmJyLUZjcTYoLUYjNihGYnVGW3MtRlg2JUZaLUYjNiRGYnVGM0Zdb0Zjb0Zlb0YzRmpxRlxyRl5yRmByRmJyRmFzRmpxRlxyRl5yLUZgcTYrRmFzRmFzLUZjcTYoLUYjNigtRks2KC1GLDYlUSNHSkYnRlBGUy1GIzYmRk1GY29GZW9GM0Zob0ZbcEZecEZgcEZbc0ZddkZjb0Zlb0YzRmpxRlxyRl5yRmByRmJyRmFzRmFzLUZjcTYoLUYjNilGW3RGZ3ZGW3NGXXZGY29GZW9GM0ZqcUZcckZeckZgckZickZqcUZcckZeci1GYHE2K0Zncy1GY3E2KC1GIzYqRlt0RmhyRltzRlpGYG9GY29GZW9GM0ZqcUZcckZeckZgckZickZhc0ZicUZkd0Zhc0ZqcUZcckZeci1GYHE2Ky1GY3E2KC1GIzYpRmhyRltzRlpGYG9GY29GZW9GM0ZqcUZcckZeckZgckZickZpdUZhc0Zkdy1GY3E2KC1GIzYpRlt1RltzLUYwNi1RIn5GJ0YzRjZGOUY7Rj1GP0ZBRkNGXnNGYHNGXXZGY29GZW9GM0ZqcUZcckZeckZgckZickZhc0ZqcUZcckZeci1GYHE2K0Zhc0Zhc0Zed0Zhc0Zhc0ZjdkZqcUZcckZeci8lJmFsaWduR1ElYXhpc0YnL0ZbclEpYmFzZWxpbmVGJy9GXXJGXXAvRl9yUSd8ZnJsZWZ0fGhyRicvJS9hbGlnbm1lbnRzY29wZUdGUi8lLGNvbHVtbndpZHRoR1ElYXV0b0YnLyUmd2lkdGhHRmN5LyUrcm93c3BhY2luZ0dRJjEuMGV4RicvJS5jb2x1bW5zcGFjaW5nR1EmMC44ZW1GJy8lKXJvd2xpbmVzR1Elbm9uZUYnLyUsY29sdW1ubGluZXNHRl56LyUmZnJhbWVHRl56LyUtZnJhbWVzcGFjaW5nR1EsMC40ZW1+MC41ZXhGJy8lKmVxdWFscm93c0dGOC8lLWVxdWFsY29sdW1uc0dGOC8lLWRpc3BsYXlzdHlsZUdGOC8lJXNpZGVHUSZyaWdodEYnLyUwbWlubGFiZWxzcGFjaW5nR0ZbekZgb0Zjb0Zlb0YzRjMvSSttc2VtYW50aWNzR0YkUSdNYXRyaXhGJy8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJ0ZhW2xGY29GZW9GMy8lK2FjdGlvbnR5cGVHUS5ydGFibGVhZGRyZXNzRictRjA2LVEiOkYnRjNGNkY5RjtGPUY/RkFGQ0ZFRkhGY29GZW9GMw==">QyQ+SSVLX19lRzYiLUkwZGVsYXlEb3RQcm9kdWN0RzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUdGJUksVHlwZXNldHRpbmdHNiRGKUkoX3N5c2xpYkdGJTYlKiZJI0VJR0YlIiIiSSVsX19lR0YlISIkLUknTWF0cml4R0YlNiMvSSQlaWRHRiUiNVF1KFFNdVN1WSU9SSV0cnVlR0YpISIi</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L21203" drawlabel="true" redirect-source="L21204">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L21204" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21205" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21261" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21195" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">From the Attached file in the course web site, the element Mass Matrix is:</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal" alignment="centred"><Equation executable="true" style="2D Input" input-equation="M__e := (1/2)*m*Matrix(%id = 18446744074343878038):" display="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">QyQ+SSVNX19lRzYiLCQqJkkibUdGJSIiIi1JJ01hdHJpeEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjL0kkJWlkR0YlIjVRIXlRTXVTdVklPUYpI0YpIiIjISIi</Equation></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
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<Text-field style="Text" layout="Normal">The expression of <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EnYEpfX3pgRictSSNtb0dGJDYtUSIsRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiNRJ2BKX194YEYnRjM=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EnYEpfX3pgRictSSNtb0dGJDYtUSIsRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiNRJ2BKX194YEYnRjM=</Equation> was given in home assignment 3:</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal" alignment="centred"><Equation executable="true" style="2D Input" input-equation="J__z := (1/12)*m*(l__e^2+t^2):" display="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">QyY+SSVKX196RzYiLCQqJkkibUdGJSIiIiwmKiRJJWxfX2VHRiUiIiNGKSokSSJ0R0YlRi1GKUYpI0YpIiM3ISIiPkklSl9feEdGJSwkKiZGKEYpLCYqJEkiY0dGJUYtRilGLkYpRilGMEYy</Equation></Text-field>
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<Text-field style="Text" layout="Normal">The Matrix Assembly procedure:</Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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</Group></Presentation-Block><Presentation-Block><CodeEditor-ExecGroup view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21587" display="code"><EC-CodeEditor id="CodeEditRegion1" visible="false" pixel-width="600" pixel-height="450" autoexpand="false">#Matrix Assembly Procedure

MatAssemb := proc (N::anything, M::Matrix) 
	local n, j, k, Rng, T; 
	T := Matrix(3*N, 3*N, 0); 
	for j to 3 do 
		for n to 3 do 
			T[j, n] := T[j, n]+M[j+3, n+3]; 
		end do; 
	end do; 
	for k from 0 by 3 to 3*N-6 do 
		Rng := 1+k .. 6+k; 
		T[Rng, Rng] := T[Rng, Rng]+M; 
	end do; 
	return T; 
end proc:</EC-CodeEditor></CodeEditor-ExecGroup></Presentation-Block><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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<Text-field style="Text" layout="Normal">So the whole wing stiffness and inertia matrix:</Text-field>
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<Text-field style="Text" layout="Normal"></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="T__SM := MatAssemb(N, K__e):" display="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">QyY+SSZUX19TTUc2Ii1JKk1hdEFzc2VtYkdGJTYkSSJOR0YlSSVLX19lR0YlISIiPkkmVF9fSU1HRiUtRic2JEYpSSVNX19lR0YlRis=</Equation></Text-field>
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L21590" view="label" executable="true"></Label>); # input placeholder</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal"></Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Question 1</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal">Build and plot the theodorsen function (real and imaginary part) as a function of the non-dimensional frequency <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiUtSSNtaUdGJDYlUSJrRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEifkYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRRj5GPkY+">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiUtSSNtaUdGJDYlUSJrRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEifkYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRRj5GPkY+</Equation>. <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5</Equation> varies from <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> to <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yv</Equation>.</Text-field>
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<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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<Text-field style="Text" layout="Normal">We will build Theodorsen function from a combination of Henkel functions as shown in class:</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal" alignment="centred"><Equation executable="true" style="2D Input" input-equation="Theodorsen := proc (k) options operator, arrow; HankelH2(1, k)/(HankelH2(1, k)+I*HankelH2(0, k)) end proc:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JVErVGhlb2RvcnNlbkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkobWZlbmNlZEdGJDYkLUYjNiQtRiw2JVEia0YnRi9GMkY5RjktRjY2LVEoJnNyYXJyO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTkZlbi1JJm1mcmFjR0YkNigtRiM2JS1GLDYlUSlIYW5rZWxIMkYnL0YwRj1GOS1GUDYkLUYjNiYtSSNtbkdGJDYkUSIxRidGOS1GNjYtUSIsRidGOUY7L0Y/RjFGQEZCRkRGRkZIRlovRk5RLDAuMzMzMzMzM2VtRidGVEY5RjlGOS1GIzYqRlxvRmBvLUY2Ni1RIitGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GZHAtRiw2JVEiSUYnRi9GMi1GNjYtUScmc2RvdDtGJ0Y5RjtGPkZARkJGREZGRkhGWkZmbkZcby1GUDYkLUYjNiYtRmVvNiRRIjBGJ0Y5RmhvRlRGOUY5RjkvJS5saW5ldGhpY2tuZXNzR0Znby8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZncS8lKWJldmVsbGVkR0Y9LUY2Ni1RIjpGJ0Y5RjtGPkZARkJGREZGRkhGSkZNLyUrZXhlY3V0YWJsZUdGPS8lMGZvbnRfc3R5bGVfbmFtZUdRKDJEfk1hdGhGJ0Y5">QyQ+SStUaGVvZG9yc2VuRzYiZio2I0kia0dGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKiYtSSlIYW5rZWxIMkdGJTYkIiIiOSRGMCwmRi1GMComXiNGMEYwLUYuNiQiIiFGMUYwRjAhIiJGJUYlRiVGOA==</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Font style="Text">Isolating the real and imaginary parts of Theodorsen function for the Reduced Frequency </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation><Font style="Text"> from </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEmMC4wMDFGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSMuLkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdRJjAuMGVtRictRiw2JFEiMUYnRi9GLw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEmMC4wMDFGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSMuLkYnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdRJjAuMGVtRictRiw2JFEiMUYnRi9GLw==</Equation><Font style="Text">:</Font></Text-field>
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</Group></Presentation-Block><Presentation-Block><CodeEditor-ExecGroup view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L10" display="code"><EC-CodeEditor id="CodeEditRegion2" visible="false" pixel-width="1000" pixel-height="550" autoexpand="false">#Theodorsen Function Plot Structure

T 		:= [evalf(seq(Theodorsen(k), k = 10^(-3) .. 1, 10^(-2)))]:
REAL 	:= [seq(evalc(Re(T[i])), i = 1 .. nops(T))]:
IMAG 	:= [seq(evalc(Im(T[i])), i = 1 .. nops(T))]:
K 		:= [seq(i, i = 10^(-3) .. 1, 10^(-1))]:

#Plots

P__real 	:= plot(K, IMAG, legend = [&quot;Imaginary&quot;], title = &quot;Theodorsen Function&quot;, 
				axis = [gridlines = [10, color = blue]], titlefont = [&quot;ROMAN&quot;, 15], 
				labels = [&quot;Reduced Frequency k&quot;, &quot;C(k)=F(k)+I*G(k)&quot;], 
				labeldirections = [&quot;horizontal&quot;, &quot;vertical&quot;], labelfont = [&quot;HELVETICA&quot;, 12, bold], 
				legendstyle = [font = [&quot;HELVETICA&quot;, 9], location = bottom]):

P__Imag 	:= plot(K, REAL, color = green, legend = [&quot;Real&quot;], title = &quot;Theodorsen Function&quot;, 
				axis = [gridlines = [10, color = blue]], titlefont = [&quot;ROMAN&quot;, 15], 
				labels = [&quot;Reduced Frequency k&quot;, &quot;C(k)=F(k)+I*G(k)&quot;], 
				labeldirections = [&quot;horizontal&quot;, &quot;vertical&quot;], labelfont = [&quot;HELVETICA&quot;, 12, bold], 
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="Maple Plot" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal" bullet="dot">We can see from the figure above that for large values of <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation>  the system gain is 0.5 and the system phase is 0. <Equation executable="false" style="Maple Plot" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="Maple Plot" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Question 2</Text-field></Title><Presentation-Block>
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<Input>
<Text-field style="Text" layout="Normal">Write the generalized forces coefficients <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>  for the first two modes of the fixed wing, where  <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5</Equation> varies from <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> to <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yv</Equation>.</Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 3" layout="Heading 3">Dynamic's</Text-field></Title><Presentation-Block>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="F := proc (k) options operator, arrow; evalc(Re(Theodorsen(k))) end proc:" display="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">QyY+SSJGRzYiZio2I0kia0dGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkmZXZhbGNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2Iy1JI1JlR0YvNiMtSStUaGVvZG9yc2VuR0YlNiM5JEYlRiVGJSEiIj5JIkdHRiVmKkYnRiVGKUYlLUYtNiMtSSNJbUdGL0Y0RiVGJUYlRjk=</Equation></Text-field>
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<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
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<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L21126" drawlabel="true" redirect-source="L21073">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L21073" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21086" drawlabel="true" redirect-target="L14064">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21085" drawlabel="true" redirect-target="L21083">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
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</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L21083" drawlabel="true" redirect-source="L21085">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L21085" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21070" drawlabel="true" redirect-target="L13715">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="L__z := proc (k) options operator, arrow; -2*Pi*(-(1/2)*k^2-k*G(k)) end proc:" display="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">QzI+SSVMX196RzYiZio2I0kia0dGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCQqJkkjUGlHJSpwcm90ZWN0ZWRHIiIiLCYqJDkkIiIjIyEiIkY0KiZGM0YwLUkiR0dGJTYjRjNGMEY2RjAhIiNGJUYlRiVGNj5JTSNtc3ViKG1pKCJMIiksbW92ZXIobWkoInoiKSxtbygiJnBlcmlvZDsiKSkpR0YlZipGJ0YlRilGJSwkKiZGLkYwLUkiRkdGJUY6RjBGO0YlRiVGJUY2PkkrTF9fJnRoZXRhO0dGJWYqRidGJUYpRiUsJComRi5GMCwoKiZGM0Y0SSJhR0YlRjAjRjBGNEZBRjAqKEYzRjBGOEYwLCZGS0YwRkpGNkYwRjZGMEY7RiVGJUYlRjY+SWJvI21zdWIobWkoIkwiKSxtb3ZlcihtaSgiJnRoZXRhOyIsZm9udHN0eWxlfj1+Im5vcm1hbCIpLG1vKCImcGVyaW9kOyIpKSlHRiVmKkYnRiVGKUYlLCQqJkYuRjAsKEZLRjAqJkZBRjBGTUYwRjAqJkY4RjBGM0Y2RjBGMEY7RiVGJUYlRjY+SSVNX196R0YlZipGJ0YlRilGJSwkKiZGLkYwLCZGSUY1KihGM0YwRjhGMCwmRkpGMEZLRjBGMEY2RjBGNEYlRiVGJUY2PklNI21zdWIobWkoIk0iKSxtb3ZlcihtaSgieiIpLG1vKCImcGVyaW9kOyIpKSlHRiVmKkYnRiVGKUYlLCQqKEYuRjBGZ25GMEZBRjBGNEYlRiVGJUY2PkkrTV9fJnRoZXRhO0dGJWYqRidGJUYpRiUsJComRi5GMCwoKiZGM0Y0LCYjRjAiIilGMCokRkpGNEYwRjBGSyomRkFGMEZnbkYwRjAqKkYzRjBGOEYwRmduRjBGTUYwRjZGMEY0RiVGJUYlRjY+SWJvI21zdWIobWkoIk0iKSxtb3ZlcihtaSgiJnRoZXRhOyIsZm9udHN0eWxlfj1+Im5vcm1hbCIpLG1vKCImcGVyaW9kOyIpKSlHRiVmKkYnRiVGKUYlLCQqJkYuRjAsKComRjNGMEZNRjBGNSoqRjNGMEZBRjBGZ25GMEZNRjBGMCooRjhGMEYzRjZGZ25GMEYwRjBGNEYlRiVGJUY2</Equation></Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21081" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21071" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block>
</Section><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21074" drawlabel="true" redirect-target="L19644">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal" alignment="centred"><Equation executable="true" style="2D Input" input-equation="B__e := Matrix(%id = 18446744074359482238)*l__e:" display="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">QyY+SSVCX19lRzYiKiYtSSdNYXRyaXhHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2Iy9JJCVpZEdGJSI1UUFbZlYyV25XPSIiIkklbF9fZUdGJUYwISIiPkklQ19fZUdGJSomLUYoNiMvRi4iNWVCW2ZWMlduVz1GMEYxRjBGMg==</Equation></Text-field>
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<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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</Group></Presentation-Block><Presentation-Block>
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<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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</Group></Presentation-Block><Presentation-Block><CodeEditor-ExecGroup view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21636" display="code"><EC-CodeEditor id="CodeEditRegion3" visible="false" pixel-width="700" pixel-height="290" autoexpand="false">#Total Matrix Assembly Procedure

TotalMatrix := proc (N::anything, M::Matrix) 
	local i, T; 
	T := Matrix(2*N, 2*N, 0); 
	for i by 2 to 2*N do 
		T[i .. i+1, i .. i+1] := M[1 .. -1, 1 .. -1]; 
	end do; 
	return evalc(Re(T)); 
end proc:</EC-CodeEditor></CodeEditor-ExecGroup></Presentation-Block><Presentation-Block>
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<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block><CodeEditor-ExecGroup view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L19" display="code"><EC-CodeEditor id="CodeEditRegion4" visible="false" pixel-width="750" pixel-height="520" autoexpand="false">#Modes Calculations

Modes := proc (N, T_I::Matrix, T_S::Matrix, mN) 
	local lambd, u, i, x, j, phi, phi1; 
	lambd, u := Eigenvectors(T_I, T_S); 
	for i to mN do 
		x[i] := Re(convert(u[1 .. -1, i], 'Vector')); 
	end do; 
	phi1 := Matrix(2*N, mN, 0); 
	phi := Matrix(3*N, mN, 0); 
	for i to mN do 
		phi[1 .. -1, i] := x[i][1 .. -1]; 
		for j by 2 to 2*N do 
			phi1[j, i] := -phi[(3/2)*j-1/2, i];
		end do; 
		for j from 2 by 2 to 2*N do 
			phi1[j, i] := phi[(3/2)*j, i]; 
		end do; 
	end do; 
	return phi, phi1; 
end proc:
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<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
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<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21142" drawlabel="true" redirect-target="L21257">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="phi := Modes(N, T__IM, T__SM, mN):" display="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">QyQ+SSRwaGlHNiItSSZNb2Rlc0dGJTYmSSJOR0YlSSZUX19JTUdGJUkmVF9fU01HRiVJI21OR0YlISIi</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
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<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L21257" drawlabel="true" redirect-source="L21142">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L21142" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21143" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
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<Input>
<Text-field style="Text" layout="Normal">The Stiffness Matrix:</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L21078" drawlabel="true" redirect-target="L21243">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">QyQ+SSJTRzYiLUkwZGVsYXlEb3RQcm9kdWN0RzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUdGJUksVHlwZXNldHRpbmdHNiRGKUkoX3N5c2xpYkdGJTYkLUYnNiQtSSpUcmFuc3Bvc2VHRiU2IyZJJHBoaUdGJTYjIiIjLUksVG90YWxNYXRyaXhHRiU2JEkiTkdGJUklQl9fZUdGJUY1ISIi</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L21243" drawlabel="true" redirect-source="L21078">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L21078" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Font style="Text">The Damping Matrix:</Font><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">QyQ+SSNEYUc2Ii1JMGRlbGF5RG90UHJvZHVjdEc2JCUqcHJvdGVjdGVkRy9JK21vZHVsZW5hbWVHRiVJLFR5cGVzZXR0aW5nRzYkRilJKF9zeXNsaWJHRiU2JC1GJzYkLUkqVHJhbnNwb3NlR0YlNiMmSSRwaGlHRiU2IyIiIy1JLFRvdGFsTWF0cml4R0YlNiRJIk5HRiVJJUNfX2VHRiVGNSEiIg==</Equation></Text-field>
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L21206" view="label" executable="true"></Label>); # input placeholder</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal" bullet="dot"><Font style="Text">From the results above we can assume that the matrix size is a function of the DOF ( in the sketch above we took 2 DOF, Heave and pitch).</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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</Section>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Question 3</Text-field></Title><Presentation-Block>
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<Input>
<Text-field style="Text" layout="Normal">Plot the generalized forces coefficients as a function of <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> .</Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field></Title><Presentation-Block>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="plot(Da[1, 1], k = 0.1e-2 .. 1, color = blue, title = &quot;Damping [1,1]&quot;, labels = [&quot;k&quot;, &quot;damping&quot;], axis = [gridlines], labeldirections = [&quot;horizontal&quot;, &quot;vertical&quot;]);" display="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">QyQtSSVwbG90RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNikmSSNEYUdGKDYkIiIiRi0vSSJrR0YoOyRGLSEiJEYtL0kmY29sb3JHRihJJWJsdWVHRigvSSZ0aXRsZUdGKFEuRGFtcGluZ35bMSwxXUYoL0knbGFiZWxzR0YoNyRRImtGKFEoZGFtcGluZ0YoL0klYXhpc0dGKDcjSSpncmlkbGluZXNHRigvSTBsYWJlbGRpcmVjdGlvbnNHRig3JFEraG9yaXpvbnRhbEYoUSl2ZXJ0aWNhbEYoRi0=</Equation></Text-field>
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">%;</Text-field>
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<Text-field style="Text" layout="Normal">The figure above describe the shift that occur from the <Font bold="true">heave</Font> in the damping matrix at the first mode</Text-field>
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<Text-field style="Text" layout="Normal">The figure above describe the shift that occurs from the <Font bold="true">pitch</Font> in the damping matrix at the first mode</Text-field>
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<Text-field style="Text" layout="Normal">The figure above describe the shift that occurs from the <Font bold="true">heave</Font>  in the damping matrix at the first mode</Text-field>
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<Text-field style="Text" layout="Normal">The figure above describe the shift that occurs from the <Font bold="true">pitch</Font> in the damping matrix at the second mode</Text-field>
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<Text-field style="Text" layout="Normal">The figure above describe the shift that occurs from the <Font bold="true">heave</Font>  in the damping matrix at the second mode</Text-field>
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