The moment was measured around the aerodynamic center of the malat ( LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EtYHhfX3csbWFsYXRgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn ). Assuming that the mazlat has only one lift surface (his wing) and find the neutral point distance from the malat aerodynamic center.
<Text-field style="Heading 3" layout="Heading 3">Solution</Text-field>Because of the mazlat we need to rewrite the moment equation un order to fund the new neutral point LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EnYE5fXzBgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn :LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=QyQ+SSRlcTFHNiIvSSpDX19NLE5fXzBHRiUsLEkrQ19fbTAsTl9fMEdGJSIiIiosSTdDX19MLCZhbHBoYTtfX1csbWF6bGF0R0YlRipJKlNfX21hemxhdEdGJUYqSSVTX193R0YlISIiSSZhbHBoYUdGJUYqSTF4X193LG1hemxhdC1OX18wR0YlRipGKiouSSRldGFHRiVGKkklU19fdEdGJUYqRi5GL0kwQ19fTCwmYWxwaGE7X19UR0YlRiosJiomLCZGKkYqSTMmZXBzaWxvbjtfXyZhbHBoYTtHRiVGL0YqRjBGKkYqSSsmZGVsdGE7X19lR0YlRipGKkkqeF9fdC1OX18wR0YlRipGKiomSSVDX193R0YlRipJK3hfX2NnLU5fXzBHRiVGKkYqKihJMENfX0wsJmFscGhhO19fV0dGJUYqSSp4X193LU5fXzBHRiVGKkYwRipGKkYvIn order to find LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EnYHhfX3dgRictSSNtb0dGJDYtUSomdW1pbnVzMDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGRy1GLDYjUSdgTl9fMGBGJ0Yz we need to 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 :LUklc3Vic0clKnByb3RlY3RlZEc2JC9JN0NfX0wsJmFscGhhO19fVyxtYXpsYXRHNiJJMENfX0wsJmFscGhhO19fV0dGKC1JJWRpZmZHRiQ2JEkkZXExR0YoSSZhbHBoYUdGKA==print(); # input placeholderThe expression 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 so we can see that PkkqeF9fdC1OX18wRzYiLCZJJ3hfX3ctdEdGJCEiIkkqeF9fdy1OX18wR0YkIiIi .The expression 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 so we can see that QyQ+STF4X193LG1hemxhdC1OX18wRzYiLCZJLnhfX3csbWF6bGF0LXdHRiUiIiJJKnhfX3ctTl9fMEdGJUYoISIi Now we need to find LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1E2YHhfX3csbWF6bGF0Jm1pbnVzO3hgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn:From the given figure we can write the moment equation around LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EnYHhfX3dgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn :QyQ+SSRlcTJHNiIvSSpDX19NLHhfX3dHRiUsKkkrQ19fbTAseF9fd0dGJSIiIiosSTdDX19MLCZhbHBoYTtfX1csbWF6bGF0R0YlRipJKlNfX21hemxhdEdGJUYqSSVTX193R0YlISIiSSZhbHBoYUdGJUYqSS54X193LG1hemxhdC13R0YlRipGKiouSSRldGFHRiVGKkklU19fdEdGJUYqRi5GL0kwQ19fTCwmYWxwaGE7X19UR0YlRiosJiomLCZGKkYqSTMmZXBzaWxvbjtfXyZhbHBoYTtHRiVGL0YqRjBGKkYqSSsmZGVsdGE7X19lR0YlRipGKkkneF9fdC13R0YlRipGKiomSSVDX193R0YlRipJKHhfX2NnLXdHRiVGKkYqRi8=So the expression 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LUkoaXNvbGF0ZUc2IjYkLUklc3Vic0clKnByb3RlY3RlZEc2JS9JJ3hfX3Qtd0dGJCwkSSd4X193LXRHRiQhIiIvSTdDX19MLCZhbHBoYTtfX1csbWF6bGF0R0YkSTBDX19MLCZhbHBoYTtfX1dHRiQvLUklZGlmZkdGKDYkLUkkcmhzR0YoNiNJJGVxMkdGJEkmYWxwaGFHRiRJJnNsb3BlR0YkSS54X193LG1hemxhdC13R0Ykprint(); # input placeholder
Placing the expression in the neutral point equation:LUkoaXNvbGF0ZUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUklc3Vic0dGJTYkL0kueF9fdyxtYXpsYXQtd0dGJyQiK1FRRWM3ISIqLyIiISwoSTF4X193LG1hemxhdC1OX18wR0YnIyIiJiIjN0kqeF9fdC1OX18wR0YnJCIrKysrXUYhIzVJKnhfX3ctTl9fMEdGJ0Y2Rjw=print(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
JSFH
<Text-field style="Heading 2" layout="Heading 2">Art 2</Text-field>Find the distance between the aerodynamic center of the mazlat to the aerodynamic center of the malat.
<Text-field style="Heading 3" layout="Heading 3">Solution</Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
We found this expression while solving article 1:L0kueF9fdyxtYXpsYXQtd0c2IiQiK1FRRWM3ISIqprint(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 2" layout="Heading 2">Art 3</Text-field>In test flight, the malat weight was QyQ+SSltX19tYWxhdEc2IiIlKzUhIiI=and his center of gravity was at 5% in front of the aerodynamic center of the malat wing. The center of gravity of the mazlat was at the aerodynamic center of its wing. Find the maximal weight of the mazlat so the center of gravity of both UAV will not exceed the forward limit for straight and level flight.Note:In this article ignore the results you got in the previous articles and assume that the neutral point of both UAV's is at 10% behind the aerodynamic center of the malat ( LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2I1EnYE5fXzBgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctRiw2I1EtYHhfX3csbWFsYXRgRictRjA2LVEoJm1pbnVzO0YnRjNGNkY5RjtGPUY/RkFGQy9GRlEsMC4yMjIyMjIyZW1GJy9GSUZRLUkjbW5HRiQ2JFEjMTBGJ0YzLUYwNi1RIn5GJ0YzRjZGOUY7Rj1GP0ZBRkMvRkZRJjAuMGVtRicvRklGZW4tRiw2JVEiJUYnLyUnaXRhbGljR1EldHJ1ZUYnL0Y0USdpdGFsaWNGJ0Yz ), and that the aerodynamic center of the mazlat is LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEiMkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yv meters before the one of the malat.JSFH
<Text-field style="Heading 3" layout="Heading 3">Solution</Text-field>Now it is given that QyQ+SSp4X193LU5fXzBHNiIkIiIiISIiRig=We will write the moment equation around LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy :QyQ+SSRlcTNHNiIvSS1DX19NLCZhbHBoYTtHRiUsKiomSSVDX19MR0YlIiIiSSt4X19jZy1OX18wR0YlRishIiIqJkkmYWxwaGFHRiVGK0ktQ19fbSwmYWxwaGE7R0YlRitGKyomSSsmZGVsdGE7X19lR0YlRitJMENfX20sJmRlbHRhO19fZUdGJUYrRitJLkNfX20wLCZhbHBoYTtHRiVGK0YtWe know that in order to find the forward limit we set 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 .LUkmZXZhbGZHJSpwcm90ZWN0ZWRHNiMtSShpc29sYXRlRzYkRiRJKF9zeXNsaWJHNiI2JC1JJXN1YnNHRiQ2KS9JK3hfX2NnLU5fXzBHRipJK3hfX24xLU5fXzBHRiovSSsmZGVsdGE7X19lR0YqSS8mZGVsdGE7X19lLG1heEdGKi9JJUNfX0xHRipJKUNfX0wsbWF4R0YqL0ktQ19fbSwmYWxwaGE7R0YqIiIhL0ktQ19fTSwmYWxwaGE7R0YqRjovSS5DX19tMCwmYWxwaGE7R0YqRjpJJGVxM0dGKkYxprint(); # input placeholderThe expression for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EyYENfX20sJmRlbHRhO19fZWBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic= is:PkkwQ19fbSwmZGVsdGE7X19lRzYiKixJJGV0YUdGJCIiIkklU19fdEdGJEYnSSVTX193R0YkISIiSTBDX19MLCZhbHBoYTtfX1RHRiRGJ0kqeF9fdC1OX18wR0YkRic= = print(); # input placeholderSo the forward limit is L0kreF9fbjEtTl9fMEc2IiwkSTBDX19tLCZkZWx0YTtfX2VHRiQkIitGYyoqcD0hIzU=print(); # input placeholderWe get the maximal weight when the total center of gravity will be at the forward limit:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=(we will choose the reference point to be LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EoYHhfX2NnYEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==)QyQ+SSRlcTRHNiIvLCZJK3hfX24xLU5fXzBHRiUiIiJJJnhfX2NnR0YlISIiKiYsJiomSTAmRGVsdGE7eF9fbWFsYXRHRiVGKUkpbV9fbWFsYXRHRiVGKUYpKiZJKm1fX21hemxhdEdGJUYpSTEmRGVsdGE7eF9fbWF6bGF0R0YlRilGKUYpLCZGMkYpRjBGKUYrRis=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
So the mazlat weight is:LUkoaXNvbGF0ZUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUklc3Vic0dGJTYoL0kpbV9fbWFsYXRHRidJKVdfX21hbGF0R0YnL0kxJkRlbHRhO3hfX21hemxhdEdGJy1JIitHRiU2JCMiIiMiIiQkISImISIjL0kwJkRlbHRhO3hfX21hbGF0R0YnIiIhL0kreF9fbjEtTl9fMEdGJywkLUkkcmhzR0YlNiMvRj4kIStwQSlwQiMhIzUhIiIvSSZ4X19jZ0dGJyQiIzpGOUkkZXE0R0YnSSptX19tYXpsYXRHRic=print(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
JSFH
<Text-field style="Heading 2" layout="Heading 2">Art 4</Text-field>In order to return the base as fast as possible ( after dropping the mazlat ), the malat did horizontal turn at factor level QyQ+SSJuRzYiIiIkISIi (the turn was trimmed ). What was LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EtYCZkZWx0YTtfX2VgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn and the AOA during the turn?
<Text-field style="Heading 3" layout="Heading 3">Solution</Text-field>QyQ+SSJnRzYiJCIkIikqISIjISIiFor horizontal turn QyQ+SSJxRzYiKihJImdHRiUiIiJJIlZHRiUhIiIsJkkibkdGJUYoKiRGLEYqRipGKEYqprint(); # input placeholderTherefore, PkkncV9fZ2FnRzYiKihJInFHRiQiIiJJImNHRiRGJy1JIi9HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2IywkSSJWR0YkIiIjRic=print(); # input placeholderFrom the forces equation:QyQ+SSRlcTVHNiIvSSVDX19MR0YlLCpJJkNfX0wwR0YlIiIiKiZJMENfX0wsJmFscGhhO19fV0dGJUYqSSZhbHBoYUdGJUYqRioqLEkkZXRhR0YlRipJJVNfX3RHRiVGKkklU19fd0dGJSEiIkkwQ19fTCwmYWxwaGE7X19UR0YlRiosJiomLCZGKkYqSTMmZXBzaWxvbjtfXyZhbHBoYTtHRiVGMkYqRi1GKkYqSSsmZGVsdGE7X19lR0YlRipGKkYqKi5GL0YqRjBGKkYxRjJGM0YqSSdxX19nYWdHRiVGKkkoeF9fY2ctdEdGJUYqIiIjRjI=print(); # input placeholderWe are turning soQyQ+SSVDX19MRzYiKiZJIm5HRiUiIiJJKUNfX0wsbj0xR0YlRighIiI=QyQ+SSlDX19MLG49MUc2IiooSSltX19tYWxhdEdGJSIiIkkiZ0dGJUYoLUkiL0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjLCQqKEkkcmhvR0YlRihJIlZHRiUiIiNJJVNfX3dHRiVGKCNGKEY0RighIiI=print(); # input placeholderQyQ+SSRlcTZHNiItSSVzdWJzRyUqcHJvdGVjdGVkRzYkL0koeF9fY2ctdEdGJUkneF9fdy10R0YlSSRlcTVHRiUhIiI=print(); # input placeholderAnd the moment equation around the center of gravity is 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Subtitute the variables:QyQ+SSRlcThHNiItSSVzdWJzRyUqcHJvdGVjdGVkRzYoL0kmQ19fbTBHRiUiIiEvSSVDX19tR0YlRiwvSSh4X190LWNnR0YlLCRJJ3hfX3ctdEdGJSEiIi8mSSJ4R0YlNiMsJkkjY2dHRiUiIiJJInRHRiVGM0YxL0koeF9fdy1jZ0dGJUYsSSRlcTdHRiVGMw==print(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
The solution of two equations with two variables is:LUkmc29sdmVHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JDwkSSRlcTZHRidJJGVxOEdGJzwkSSZhbHBoYUdGJ0krJmRlbHRhO19fZUdGJw==print(); # input placeholder
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFH
<Text-field style="Heading 2" layout="Heading 2">Art 5</Text-field>Due to failure in the mechanical design of the dropping mechanism, the mazlat hit the operator of the aileron and broke him. Now the malat is flying with free aileron that can be steering only by the trimming tube. Assume that the trimming tube does not influence the lift and moments around the malat, and find the trimming tube angle ( LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EtYCZkZWx0YTtfX1RgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn ) that is required to do the maneuver described above.
<Text-field style="Heading 3" layout="Heading 3">Solution</Text-field>The trimming tube angle is:QyQ+SSRlcTlHNiIvSSVDX19oR0YlLCwqJkknQ19faCxxR0YlIiIiSSdxX19nYWdHRiVGK0YrKiZJKyZhbHBoYTtfX1RHRiVGK0kwQ19faCwmYWxwaGE7X19UR0YlRitGKyomSSsmZGVsdGE7X19UR0YlRitJMENfX2gsJmRlbHRhO19fVEdGJUYrRisqJkkrJmRlbHRhO19fZUdGJUYrSTBDX19oLCZkZWx0YTtfX2VHRiVGK0YrSSZDX19oMEdGJUYrISIiprint(); # input placeholderDue to the failure LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EnYENfX2hgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctSSNtbkdGJDYkUSIwRidGM0Yz. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
The trimming tube angle is:LUkoaXNvbGF0ZUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUklc3Vic0dGJTYmL0klQ19faEdGJyIiIS9JKyZhbHBoYTtfX1RHRictSSRyaHNHRiU2IyY8JC9JJmFscGhhR0YnJCIrKytfJCk9ISM1L0krJmRlbHRhO19fZUdGJyQhKysrVyg+I0Y6NiMiIiIvRjxGMUkkZXE5R0YnSSsmZGVsdGE7X19UR0Ynprint(); # input placeholderLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=