LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIjpGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC4wZW1GJy8lJmRlcHRoR0ZULyUqbGluZWJyZWFrR1EobmV3bGluZUYnLUZQNiZGUkZVRlgvRmVuUSVhdXRvRictRiw2JVEqaW50ZXJmYWNlRidGL0YyLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2JVEsdHlwZXNldHRpbmdGJ0YvRjItRjY2LVEiPUYnRjlGO0Y+RkBGQkZERkZGSEZKRk0tRiw2JVEpZXh0ZW5kZWRGJ0YvRjJGOUY1LUYsNiNRIUYnprint(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFH
<Text-field style="Heading 1" layout="Heading 1">Moment superposition</Text-field>We use the moment superposition for calculating the moment equation around points that not the aircraft center of gravity. When we calculate the moment around point that is not the center of gravity, we have an additional moment variable - the moment generated from the aircraft weight.Using the Forces expression we found in the previous tutorial:
<Text-field style="Heading 2" layout="Heading 2">Forces equation</Text-field>The total lift forces are: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 lift that every aircraft part generate is: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JSFHThe Lift coefficient of each part is:print(); # input placeholder
<Text-field style="Heading 3" layout="Heading 3">Body lift coefficient</Text-field>The body contribution include the positioning angle of the tail (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUkjbWlHRiQ2I1EnYGlfX3RgRidGLw== ) but for now the expression is:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EpYENfX0wsQmBGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUYsNiNRKGBDX19MMGBGJy1GMDYtUSI6RidGM0Y2RjlGO0Y9Rj9GQUZDRkVGSA==JSFH
<Text-field style="Heading 3" layout="Heading 3">Tail lift coefficient</Text-field>
The AOA that the tail having isLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EtYCZhbHBoYTtfX3RgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctRiw2JVEnJiM5NDU7RicvJSdpdGFsaWNHRjhGMy1GMDYtUSgmbWludXM7RidGM0Y2RjlGO0Y9Rj9GQUZDL0ZGUSwwLjIyMjIyMjJlbUYnL0ZJRlMtRiw2JVEoJiMxMDEzO0YnL0ZOUSV0cnVlRicvRjRRJ2l0YWxpY0YnRjM=For small AOA, we get that 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print(); # input placeholderFor convenience, instead of writing 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 we will write LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1E1YCZlcHNpbG9uO19fJmFscGhhO2BGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=. Hence, 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%!G%!G%!GMFNWtKUb<ob<R=MDLCdNFZJL:XP>T:tliLkf=:=rV_tK?LQuVH`HLjm@n`@>]w]QBy=U;R<[ELmtVn[>MAFZOX_HV=DMuaN\\@Nd\\QipxHYNPMp]`W=iWU`mmHK`=KpAM=HrrLV`mj^MlA`K<\\r@Dj>@u:qJ[DNP@VCaWSErTlTf@u;@lCLp;ArJ\\Q@tkkMNSTl]HsstyxMSvtxyeUxduaxwWpwUiYaxqPPUWlssdLxPotquilTW`xYYQXUlGdYg=XQyPn]reXu?Ej\\@r\\DOjMx\\TKePpDPJ?Ej\\@RK=Vm=OJ_fmortPiT_\\bN[NfZPNc;PZJhjLXpDV_D^\\?Nk<Vm=Gj<>lGI]eQwcGdZ@_J_\\R?_?N[:o\\Dosd^ob>dN>_D^gHfZD>bpvffXoahb;Pn:GdZGnN>acPrrw\\DwsoP_fanMpcTQgIF^Eyyxyxyx^vOxyvgxxmvOxCiwWx_hYyQyqxi`sXyWywxwle_ua?ymolyVo]qtcYpxvxYxyvynoXjQwePqheAnFVsm`_tArqOyqntPIgoIxyfvlQa_alMowNicDyvy`wI``WNoixo]PrBytdGqNWfp?b;PZJh]Jfgi`a<>\\FFZ>wux?]S^sJxtWqwpwpKofeYx=_cQxyLH`Dndwgmnhoa?sxV_Zax:q`>>b<xcPYa>>]C^ZxVfUE<oxjYexYxtyvysySABn=cP]uEYyXwxvwvWmgEkHwui_GCQiyXyxyugFYgduVK=RD[LsDjaQrJ`LfTpFmjS`kFYwvMsZTlkXsvEyVLVjISHaJCDMadXkiU@dueESMAJaxJBHY@hktLLflvKaRftTg\\SGlNodKiIwEyw;DRTtS]XTc=Nmak\\eumpsN<_lps]XhVhgMacO`cyVkFg[\\_s^_l`?_EAdeGw_NynFwBaayQyQyqpF[yqeqQqQAnNw[b@_wXxF^sRW\\NhvSqb;@jlFyhpt^wiuW\\SOjNhxbOt]IedQc`vopPl:@teodvq]tpmZWmT^cPY_;^tpokm?meIx\\@rDA_Jcf_cnYsi?U@OuUgT^=gD=s=mvPcyCCyf_SPmBUYpltsXyokYyYyyxMx]yMyAYlUygypImyxyxyxSxqxqxqGmyvyvytP<<sBiyYEoX=LCys><KxxuiqYqYW`mNndnu]u]qMG<S>tLhxQbIRILWo=U@\\KyDJ=Pq;\\puquqqqgIYYMmwqykyky]WsakLaLbuQMyvl\\veEMLaut=nTmyf<oTLk<Ts]@R;<slAWuPxLXYmATD=yMamvxYtYtYpNyhygyWa\\Y<Am;DMRPqH<YGUQbuJyPyOyoTplZTxaYlqtyKutYlyjyj@Am[]nbUKVUTLtnFyqvividSeDvy<mo<r<yyCak[MyTxkfUXTPn:\\J:]ju]J]TuD<QRmLqauaqQqIWZXJZ=tqlYMqquuuuquG<SftUJMnXlyyxywywyDYZYJY<Qs=r=lMJqmM\\JbuX<LJoqNZqkc=M_MrTEyLDo@\\MadJpLM:]l:xkMpjeUyruwa=l;qnndyUxuvqVlYxYxyvMxuxuwqok<X;DJ@pyeyUyQYE\\MbTO_tWRdvilYkYk@\\OVYwUXynyX:Am[=tjdu>DJ;ERgHRy@KoUWTLjsqnC`skPSG`JJXpi\\p=px=LS:hl:]VYXtkegbxutfyIXyrq[Bd@cw:[R>CEGiVVyBj?BBuCx=x=WEr?BF]y`yYhyBZobvyE<KxJWDxeWaSTo[gb;p<dJZtNrqV>QSOyYvYvYTmCDK:AjCQrjEyHYyQxqviv>XwjTTXAPZmuVYnPEJ=aTltPvxL`Ho>xo`nnFY]J?ibYbYNuhxvy_yiVb@>gbVcYGjFaml`lXYtcymFimeapGWxUfg_hs:P[wYZJQiGijliZtnq]od=aq@wusomQPuEOmQatb`weP]JvyEN]nIrpI[T`pKXwIFiBYb`v[u?u=QmCg[JGtNqxFxfvVnRPdK?fIWdZDSMNKaQMpQ@DMOapJlsnDjBAlRHVwmk=LTfdVjIo^Tk>lKmmjCmulUsgdkKPr^EP_DJX<mV@JF<M`txbmk\\`KWltNhJMYnVdso<PAeNd]NfeSy<Sbau=iqldRTQo@HRs\\q^=qDEyCaxotQKqJTQseDmlaoOiRY\\kbQxsUy<uubumoEwqHnYPgZhjqyfHO[qAoSGbu>w@HeINitgkuYtIX^rfnCv_;vnqfrS>d:wycyo`O`xFnivyeHnkY]tYxFvy=nbI`i^Y^UiiThsZxagO`qfb:ncG^_oH^Gygsv`uWp`apJ`f@ajt?o]?sY^vvgwG?iwo]LAlSfhIWhMi[f_i;>sLHZ^Fmyxu_OpDGqSfeNXhJ>b:Hbu@ttAcb>]byxyxywi_@vZMXvX?mRy[y?y=qfTPlkPxYV[RhbgXtSFkRw^l^cFx`yIns>nW?oc?oK>sJaZENsKWj:HacOqDWhJfycimdqxkxwI`hBqyHQeMXfF>cmndPxfHvjFItYqkChyJy_=G]<flFQta_Zj?j?V\\Zn^yFZT?`^I];WcGqcYw[YHwiIcYnkn`nW_kK>fbxy@fk@xpTV^]QjSfkqVvAi`xX[>Wfx@]aIfIWgcqnYQkYI_rAdyOm=Wyai`;onIQsu?_e`i:WiYFhD>bpG[:ojfGvd_[HW^o@jXWa[qa:IZc?]cx\\@hry?meogwhxPIsIwitYt@AqJ`lsG^gPr:Afr>`Y>r:nr<V\\LOr?HwfYuqxokF]]@lFFkOOvOHyIWhrx^r^su`\\tonkfskxgL^vfPhMWgRpZLWfIYsbhfHHuQGZ]?gfqvcy_`HrFP`eicf_kcp^tV^MAtHF]Qoi=WZ@QeZ^nHoyq>];ph;ngnHmkpcy^[]?GHpq<X:xyrxlsLJJAKVPWBMyR`tp]waMJTaPgIuxPYiaOYtSHhuv\\pfXYPYl<dJZTS><LSXvn`keaPY<wvmjkXxy<VlYnYdybHJ@pva\\NV=mLySxMhgYla?lhFfJNa>Hlvvmraran``Aryc;Gs=cg<wwtYENoyowtmcIO_HOOGuUhSOddwxoABMOeNmxGyyu=xJaraGghSfU?wyAT`;YhSfXGuUqikCsPyvLUuZIU_cV;WrBqgXad]pxKEWTUXL`pGayNDweHujDMbPUD<rZpl\\<WjYMJ@v?yNZXjZ@JJAXypVDeSbMJJHvJAJ@<V\\ptCyX:pJJDQoatMUuvITmaVXDo_AxVdWn<kZtr@UxQtycMlG=JYpNj]KGxttMp?QWOaqN<O:DU\\<j^xK=HJCir`TxDeTXhjCHO^YqYiyhavpXuhUmvuvutucMtbpsi=m>Ll]tW;Xvkuku]u^akmlsbUKYPp:lkMqSudo;PKFlr^DQdYlkIsrYP^mPGaKCANW@S]mv\\HYa\\upmwUxLBlvcTPEQmaxOcmUeIJ=Qy@aSrTVgQs>EsfUTTPJ?LM?@L@aK[PrZqJxdKF>u:>`tYgF^kJWq[Ia]fw>FZtqjJFZb@^v?n_PxC@pkAmAaa`he]yaXAjDPedhwcisJPmg`xI`nsYoqFjGhkiA]wQwtQwc>DR^]tDmrsYUC_TcODm[l]YuYqypUxe=ng=prAUBaqS=s:`r]xMwAwCIwaxmxDYNYnXdtxuQ\\ILI@WExUmIjKxRl<kVPVcmoShVPHpf`XLpnyMnymP;HO;tRCiQuiumLS_@YGEQVYosdVFHrFhUYLWauq^qjDASUyqxLk[xvt=NDaQJlwqLPEPQ@@WkdsN\\pMmpZpN=am<Hl]\\YbhnjimBXP;lJjDRREJ^]t`]Kf@VVILL=m]]Yamyw\\y[yKYQt\\esCHRehnIljeUO^Dos`xnIw?<mWpxmpmUuMD\\\\SiB]HSAFcKei?bSOw`WehMeVaYmisGIxG_bC]bGKU>[CJcw\\awmwshMtZOeA_CPASRoYtcVLyeSyt=UThwsm?dSms]CfaEYwSDHUDJIxFexkDPEyPm\\JdeYUmXDArgTUydsJXlrmmxuVyQpwHKPQWbpyQpSeaJ_DRtmtRIMPhoIdKJDJv<xgHxC@t<mWI<V=eYBdP@TJbHy\\<sR@lsAuAqQpHW_<JCTXPdoQAOxlQKqXrxQ;`usHqMMmGYRQQqauxb<T:LpE<J\\TX:HV]dx;LMrIPhxqxQyCyKx=hGab?`lAHadI[I?i<avkyky_iU?lRAoG?fmG\\DNbDGiFg\\wG^tqcrpf@>yJhuso\\MHwGw`mAcfYbFYoaok=?jMhwbii`fqc_fbGcFFm_pnc?a]wsqQtkopAxfwpa`HqoqyLHgnpmqxiMqmYN[AvlXnitwkFQ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, the tail lift contribution is: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print(); # input placeholderJSFHFor monoblock tail, the lift contribution is: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(); # input placeholderJSFH
JSFH
<Text-field style="Heading 3" layout="Heading 3">Wing lift coefficient</Text-field>The wing lift contribution is depends of the real AOA:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EpYENfX0wsV2BGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUYsNiNRMmBDX19MLCZhbHBoYTtfX1dgRictRjA2LVEnJnNkb3Q7RidGM0Y2RjlGO0Y9Rj9GQUZDL0ZGUSYwLjBlbUYnL0ZJRlEtRiw2JVEoJmFscGhhO0YnLyUnaXRhbGljR0Y4RjMtRjA2LVEiOkYnRjNGNkY5RjtGPUY/RkFGQ0ZFRkg=print(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=So the total lift force is:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1ErYExfX3RvdGFsYEYnLUYsNiNRIUYn = print(); # input placeholderAnd the lift coefficient is: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print(); # input placeholderWe can define 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(); # input placeholderAnd therefore, 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print(); # input placeholderJSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=The total moment coefficient equation: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JSFH
<Text-field style="Heading 2" layout="Heading 2">The body, <Equation executable="false" style="Heading 2" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EnYGlfX3RgRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJXNpemVHUSMxMkYnLyUlYm9sZEdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EnYGlfX3RgRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJXNpemVHUSMxMkYnLyUlYm9sZEdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn</Equation> , gravity... contribution </Text-field>JSFHThe contribution of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EoYENfX20wYEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw== for the moment around point that is not the center of gravity is: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JSFHWhere 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So we get that print(); # input 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(); # input placeholderJSFH
<Text-field style="Heading 2" layout="Heading 2">The tail angle contribution</Text-field>JSFHThe contribution of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EyYENfX20sJmRlbHRhO19fZWBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic= for the moment around point that is not the center of gravity is: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print(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Where 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. JSFHSo we get that print(); # input 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print(); # input placeholderJSFHJSFH
<Text-field style="Heading 2" layout="Heading 2">The AOA contribution</Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=The contribution of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EvYENfX20sJmFscGhhO2BGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic= for the moment around point that is not the center of gravity is: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(); # input placeholderJSFHWhere 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. So we get that print(); # input 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(); # input placeholderJSFHJSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=As we can see, the formula for moment superposition is: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print(); # input placeholderJSFH
<Text-field style="Heading 2" layout="Heading 2">Finding the neutral point <Equation executable="false" style="Heading 2" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EnYE5fXzBgRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJXNpemVHUSMxMkYnLyUlYm9sZEdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EnYE5fXzBgRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJXNpemVHUSMxMkYnLyUlYm9sZEdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn</Equation>:</Text-field>
So, for finding LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EnYE5fXzBgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn we write in the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EpYENfX00scmBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic= equation above LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EnYE5fXzBgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn instead of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= . 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print(); # input placeholderJSFHWe know that the moment at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EnYE5fXzBgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn is not a function of the AOA, therefore, 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print(); # input placeholderAnd knowing that LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1E+YHhfX3cmbWludXM7X193X18mbWludXM7Tl9fMGBGJy1JI21vR0YkNi1RIj1GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRy1GLDYjUSdgeF9fd2BGJy1GMDYtUSgmbWludXM7RidGM0Y2RjlGO0Y9Rj9GQUZDL0ZGUSwwLjIyMjIyMjJlbUYnL0ZJRlEtRiw2I1EnYE5fXzBgRidGMw== and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1E+YHhfX3QmbWludXM7X190X18mbWludXM7Tl9fMGBGJy1JI21vR0YkNi1RIj1GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRy1GLDYjUSdgeF9fdGBGJy1GMDYtUSgmbWludXM7RidGM0Y2RjlGO0Y9Rj9GQUZDL0ZGUSwwLjIyMjIyMjJlbUYnL0ZJRlEtRiw2I1EnYE5fXzBgRidGMw== we can isolate LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EnYE5fXzBgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn :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(); # input placeholderFor straight and level flight we know that LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EnYENfX1dgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctRiw2I1EnYENfX0xgRidGMw==, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1E0YENfX20sJmFscGhhOyxOX18wYEYnLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUkjbW5HRiQ2JFEiMEYnRjNGMw== and for trimmed flight we know that LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EsYENfX00sTl9fMGBGJy1JI21vR0YkNi1RIj1GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRy1JI21uR0YkNiRRIjBGJ0YzRjM= so: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(); # input placeholder
Therefore, 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print(); # input placeholderAnd from the equation above and with the given conditions we can find the relation between the lift coefficient LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EnYENfX0xgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn to the aileron angle LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EtYCZkZWx0YTtfX2VgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn :LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEoaXNvbGF0ZUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRKGFsZ3N1YnNGJ0YvRjItRjY2JC1GIzYoLUYsNiNRNGBDX19tLCZhbHBoYTssTl9fMGBGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkwvJSlzdHJldGNoeUdGTC8lKnN5bW1ldHJpY0dGTC8lKGxhcmdlb3BHRkwvJS5tb3ZhYmxlbGltaXRzR0ZMLyUnYWNjZW50R0ZMLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGZW4tSSNtbkdGJDYkUSIwRidGSC1GRTYtUSIsRidGSEZKL0ZORjFGT0ZRRlNGVUZXL0ZaUSYwLjBlbUYnL0ZnblEsMC4zMzMzMzMzZW1GJ0Y6LUY2NiQtRiM2KC1GLDYjUSxgQ19fTSxOX18wYEYnRkRGaG5GXG9GOi1GNjYkLUYjNictRiw2I1EnYENfX1dgRidGRC1GLDYjUSdgQ19fTGBGJ0Zcby1GLDYlUSRlcTFGJ0YvRjJGSEZIRkhGXG9GYnBGSA==print(); # input placeholderAgain, the relation above if for straight and level flight for trimmed aircraft.JSFHJSFHJSFH
<Text-field style="Heading 1" layout="Heading 1">Example</Text-field>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The given data:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
The given graphs describe two flight conditions: I: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EtYCZkZWx0YTtfX2VgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctSSNtbkdGJDYkUSIwRidGM0YzII: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EtYCZkZWx0YTtfX2VgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctRiw2I1ExYCZkZWx0YTtfX2UsbWluYEYnRjM=
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<Text-field style="Heading 2" layout="Heading 2">The code behind the plot</Text-field>QyQtJkkuRG9jdW1lbnRUb29sc0c2IjYjSSNEb0dGJjYjL0knJVBsb3QxR0YmLUkoZGlzcGxheUdGJjYkLUklcGxvdEdGJjYpLCZJInhHRiYkISIkISIiJCIiI0Y2IiIiL0YzOyIiIUY5L0kieUdGJjskIiNEISIjJCEiJUY2L0kmY29sb3JHRiZJJmdyZWVuR0YmL0kmdGl0bGVHRiZRLENtflZzfmFscGhhRiYvSSdsYWJlbHNHRiY3JFEmYWxwaGFGJlEjQ21GJi9JJ2xlZ2VuZEdGJi4vSSkmZGVsdGE7ZUdGJkksJmRlbHRhO2VtaW5HRiYtRjA2KSwmRjNGNCRGQkY2RjlGOi9GPjtGQCQhIiZGNi9GRkkkcmVkR0YmL0ZJUTBDbX5+flZzfn5+YWxwaGFGJkZLL0ZRLi9GVEY8RjY=%;LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 2" layout="Heading 2">The code behind the plot</Text-field>QyQtJkkuRG9jdW1lbnRUb29sc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSNEb0dGKTYjL0knJVBsb3QyR0YpLUkoZGlzcGxheUdGKTYkLUklcGxvdEdGJjYpLCZJInhHRikkIiIkISIiRjciIiIvRjY7IiIhRjovSSJ5R0YpOyQiIiNGOUY6L0kmY29sb3JHRilJJmdyZWVuR0YpL0kmdGl0bGVHRilRLENMflZzfmFscGhhRikvSSdsYWJlbHNHRik3JFEmYWxwaGFGKVEjQ0xGKS9JJ2xlZ2VuZEdGKS4vSSkmZGVsdGE7ZUdGKUksJmRlbHRhO2VtaW5HRiktRjM2KSwmRjZGNyQiIiZGOUY6RjtGPi9GREkkcmVkR0YpL0ZHUTBDTH5+flZzfn5+YWxwaGFGKUZJL0ZPLi9GUkY9Rjk=%;LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 2" layout="Heading 2">Art 1</Text-field>On each figure mark which of the flight conditions suit to which curve.(Answer for the situation where the AOA is zero).
<Text-field style="Heading 3" layout="Heading 3">Solution</Text-field>When LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EtYCZkZWx0YTtfX2VgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctRiw2I1ExYCZkZWx0YTtfX2UsbWluYEYnLUYsNiNRIUYnRjM= we will get moment that is more positive than the one we get for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EtYCZkZWx0YTtfX2VgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctSSNtbkdGJDYkUSIwRidGM0Yz. We also know that LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EtYCZkZWx0YTtfX2VgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctRiw2I1ExYCZkZWx0YTtfX2UsbWluYEYnRjM= contribute negative lift, and therefore, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EnYENfX0xgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn will be smaller for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EtYCZkZWx0YTtfX2VgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctRiw2I1ExYCZkZWx0YTtfX2UsbWluYEYnRjM=. In the plots above we marked the first flight situation (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EtYCZkZWx0YTtfX2VgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctSSNtbkdGJDYkUSIwRidGM0Yz) in red and the second flight situation (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EtYCZkZWx0YTtfX2VgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctRiw2I1ExYCZkZWx0YTtfX2UsbWluYEYnRjM=) in green.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFH
<Text-field style="Heading 2" layout="Heading 2">Art 2</Text-field>Find LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2I1EnYHhfX3dgRictSSNtb0dGJDYtUSgmbWludXM7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkctRiw2I1EnYE5fXzBgRictRjA2LVEiPUYnRjNGNkY5RjtGPUY/RkFGQy9GRlEsMC4yNzc3Nzc4ZW1GJy9GSUZRLUkmbXRleHRHRiQ2JFEiP0YnRjMtRiw2I1EhRidGMw==
<Text-field style="Heading 3" layout="Heading 3">Solution</Text-field>It is given that LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EnYHhfX3dgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctRiw2I1EoYHhfX2NnYEYnRjM=.We know thatQyQ+SSRlcTFHNiIvSS1DX19tLCZhbHBoYTtHRiUqJkktQ19fTCwmYWxwaGE7R0YlIiIiLCZJJnhfX2NnR0YlRipJJU5fXzBHRiUhIiJGKkYuprint(); # input placeholderAnd therefore, we can isolate LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EnYHhfX3dgRictSSNtb0dGJDYtUSgmbWludXM7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkctRiw2I1EnYE5fXzBgRidGMw==:LUkoYWxnc3Vic0c2IjYkL0kreF9fY2ctTl9fMEdGJCwmSSV4X193R0YkIiIiSSVOX18wR0YkISIiLUkoaXNvbGF0ZUdGJDYkLUYjNiQvLCZJJnhfX2NnR0YkRipGK0YsRidJJGVxMUdGJEYnprint(); # input placeholderJSFHJSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 2" layout="Heading 2">Art 3</Text-field>Calculate LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1E1YENfX20sJmRlbHRhO2UsTl9fMGBGJy1JI21vR0YkNi1RIj1GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRy1JJm10ZXh0R0YkNiRRIj9GJ0YzLUYsNiNRIUYnRjM=
<Text-field style="Heading 3" layout="Heading 3">Solution</Text-field>As we saw above, the moment superposition isLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=QyQ+STNDX19tLCZkZWx0YTtlLE5fXzBHNiIsJiomSTBDX19MLCZkZWx0YTtfX2VHRiUiIiJJK3hfX2NnLU5fXzBHRiVGKUYpSTBDX19tLCZkZWx0YTtfX2VHRiVGKSEiIg==We will write the forces and moment equation for the two flight situations:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=For the first situation (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EtYCZkZWx0YTtfX2VgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctSSNtbkdGJDYkUSIwRidGM0Yz):QyY+SSZDX19MMUc2IiwoKiZJJmFscGhhR0YlIiIiSS1DX19MLCZhbHBoYTtHRiVGKUYpKiZJKyZkZWx0YTtfX2VHRiVGKUkwQ19fTCwmZGVsdGE7X19lR0YlRilGKUkmQ19fTDBHRiVGKSEiIj5JJkNfX20xR0YlLCgqJkYoRilJLUNfX20sJmFscGhhO0dGJUYpRikqJkYsRilJMENfX20sJmRlbHRhO19fZUdGJUYpRilJJkNfX20wR0YlRilGLw==print(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=print(); # input placeholderFor this situation, 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 and therefore:QyY+SSZDX19MMUc2Ii1JJXN1YnNHJSpwcm90ZWN0ZWRHNiUvSSZhbHBoYUdGJSIiIS9JKyZkZWx0YTtfX2VHRiVGLEYkIiIiPkkmQ19fbTFHRiUtRic2JUYqRi1GMUYvprint(); # input placeholderFor the second situation ( LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EtYCZkZWx0YTtfX2VgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctRiw2I1ExYCZkZWx0YTtfX2UsbWluYEYnRjM=) :QyY+SSZDX19MMkc2IiwoKiZJJmFscGhhR0YlIiIiSS1DX19MLCZhbHBoYTtHRiVGKUYpKiZJKyZkZWx0YTtfX2VHRiVGKUkwQ19fTCwmZGVsdGE7X19lR0YlRilGKUkmQ19fTDBHRiVGKSEiIj5JJkNfX20yR0YlLCgqJkYoRilJLUNfX20sJmFscGhhO0dGJUYpRikqJkYsRilJMENfX20sJmRlbHRhO19fZUdGJUYpRilJJkNfX20wR0YlRilGLw==For this situation, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JVEnJiM5NDU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSS1JI21uR0YkNiRRIjBGJ0YyLUY2Ni1RIixGJ0YyRjkvRjxRJXRydWVGJ0Y9Rj9GQUZDRkUvRkhRJjAuMGVtRicvRktRLDAuMzMzMzMzM2VtRictRjY2LVEifkYnRjJGOUY7Rj1GP0ZBRkNGRUZVL0ZLRlYtRiw2I1EtYCZkZWx0YTtfX2VgRidGNS1GLDYjUTFgJmRlbHRhO19fZSxtaW5gRidGMg== and therefore:QyU+SSZDX19MMkc2Ii1JJXN1YnNHJSpwcm90ZWN0ZWRHNiUvSSZhbHBoYUdGJSIiIS9JKyZkZWx0YTtfX2VHRiVJLyZkZWx0YTtfX2UsbWluR0YlRiQiIiI+SSZDX19tMkdGJS1GJzYlRipGLUYyprint(); # input placeholderFor LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEnJiM5NDU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSS1JI21uR0YkNiRRIjBGJ0YyRjI= we can see from the graph above that LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2I1EoYENfX0wxYEYnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZHLUYsNiNRKGBDX19MMmBGJy1GMDYtUSI9RidGM0Y2RjlGO0Y9Rj9GQUZDL0ZGUSwwLjI3Nzc3NzhlbUYnL0ZJRlEtSSNtbkdGJDYkUSQwLjNGJ0YzRi8tRlQ2JFEkMC41RidGM0Yz and therefore,LUkmZXZhbGZHJSpwcm90ZWN0ZWRHNiMtSShpc29sYXRlRzYkRiRJKF9zeXNsaWJHNiI2JC1JJXN1YnNHRiQ2JC9JLyZkZWx0YTtfX2UsbWluR0YqSS8mZGVsdGE7X19lLG1heEdGKi8sJkkmQ19fTDFHRioiIiJJJkNfX0wyR0YqISIiLUkiK0dGJDYkJCIiJEY3JCEiJkY3STBDX19MLCZkZWx0YTtfX2VHRio=print(); # input placeholderLUknYXNzaWduRyUqcHJvdGVjdGVkRzYjL0kwQ19fTCwmZGVsdGE7X19lRzYiJCIrJjMqM1tsISM1LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUkmZXZhbGZHJSpwcm90ZWN0ZWRHNiMtSShpc29sYXRlRzYkRiRJKF9zeXNsaWJHNiI2JC1JJXN1YnNHRiQ2JC9JLyZkZWx0YTtfX2UsbWluR0YqSS8mZGVsdGE7X19lLG1heEdGKi8sJkkmQ19fbTFHRioiIiJJJkNfX20yR0YqISIiLUkiK0dGJDYkJCIiI0Y3RjtJMENfX20sJmRlbHRhO19fZUdGKg==print(); # input placeholderLUknYXNzaWduRyUqcHJvdGVjdGVkRzYjL0kwQ19fbSwmZGVsdGE7X19lRzYiJCErPHloNDghIio=And we get:PkkzQ19fbSwmZGVsdGE7ZSxOX18wRzYiLUklZXZhbEclKnByb3RlY3RlZEc2JEYjL0kreF9fY2ctTl9fMEdGJC1JJHJoc0dGJzYjLywmSSV4X193R0YkIiIiSSVOX18wR0YkISIiJCIrKysrK10hIzU=print(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=