EE_365_200708FA_homework_09_solution

EE_365_200708FA_homework_09_solution - 1. ⎡cos(θ r ) −...

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1 Homework 09 Solution © Jeffrey Mayer 2005-2007. All rights reserved. EE 365 Fall 2007 1 cos( ) sin( ) cos( ) sin( ) cos( ) sin( ) () ( ) ( (, ) ) sin( ) cos( ) sin( ) cos( ) sin( ) cos( ) cos( ) sin( ) cos( ) sin( ) sin( sin( ) cos( ) rr r r ss r r r r m s r r ms r L L θθθ θ θθ ⎛⎞ −− ⎡⎤ = ⎜⎟ ⎢⎥ ⎣⎦ ⎝⎠ = KL K cos( ) sin( ) ) cos( ) sin( ) cos( ) cos( )cos( ) sin( )sin( ) cos( )sin( ) sin( )cos( ) cos( ) sin( ) sin( )cos( ) cos( )sin( ) sin( )si sin( ) cos( ) r r r r r ms r r r L −+ = 2 n( ) cos( )cos( ) cos( ) sin( ) cos( ) sin( ) sin( ) cos( ) sin( ) cos( ) cos( ) sin( ) cos( ) sin( ) sin( ) cos( ) sin( ) cos( ) cos ( ) si r r r ms r r ms ms L L L θθ θ θ θθ +− − + = = + = 2 22 n ( ) cos( )sin( ) sin( )cos( ) sin( )cos( ) cos( )sin( ) sin ( ) cos ( ) 10 01 ms ms L L = = I 1.
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2 Homework 09 Solution © Jeffrey Mayer 2005-2007. All rights reserved. EE 365 Fall 2007 11 1 1 () ( () ) ) ) ) cos( ) sin( ) cos( ) sin( ) sin( ) cos( ) sin( ) cos( ) cos( ) sin( ) s ss s q d s s s q d q d s q d s q d sqd sqd dd d dt dt dt dt dt dt dt θθ θ −− ⎧⎫ ⎡⎤ =+ ⎨⎬ ⎣⎦ ⎩⎭ ⎢⎥ = KK λ λ K λ λλ 22
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EE_365_200708FA_homework_09_solution - 1. ⎡cos(θ r ) −...

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