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ASE367K Final3 part of key but hard to read

# ASE367K Final3 part of key but hard to read - ASE 367K 0...

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ASE 367K -.-.---- Final Exam Closed Book 0 1. (40 prs) Derive the translational~uations of motion for nonsready gliding flight (T = 0) in a vertical plane over a flat earth. Each part of the problem uses the previous parts. .a~l.Gl-Q2ra~, a free-body diagram for gliding flight in which the airplane is descending. The velocity vector should be drawn at an angle t/J, the glide angle, below tIle Xh -axis. Show the various coordinate systems, angles, and forces. c~fih terms of the glide angle q" how are the Qrit vectors of the wind axes related to the unit vectOrsof the :ocal horizon axes? Derive the expression for d iw I dt in the wind a.,'(es. , e.:...~~ ':;Startingfrom the deftnition of velocity, the deftnition of acceleration, and Newton's second law, derive the translationalkinematic equations and the translational dynamicequations for gliding flight. 'Writethe velocity vector as V = Vi and .use</J for irs orientation. ~) List the functionalrelationsfor D and L. and determinethe number of mathematical degrees of freedom of the equatk!1S of Part c. 2. (40pts) Considertheglidingflight (T == 0) of an ideal subsonic airplane. /' a. (10) Starting from the equations of motion for nonsteady gliding flight, derive theequationsof motionforquasi-steadyglidingflight. en~~ 4Df-..;in~gQ1i<m-..f~lIb::i:he~~~d detel11line 'L.,e number of mathematical degreesof freedom of th~resulting equations.

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