HW1+solution

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Problem 4 1. /4 (2 ) (1 4 ) 3 3 3 2 j j jj e π −+ + = + = 2. 2/ 2 (1 ) 2 2 j j je += = 3. /2 ) /(1 ) j j e +− = = 4. 2 2 j j −= = 5. 3 /4 8* ( 2 ) 2 2 2 2 4 ej j e ππ =− + = 6. 2 *arctan( / ) 22 /( ) j a aa a aj a j e a ω ωω = ++ + 3 3+3j 3 a a + 2 a a + 2 j Re Im Im Re
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Problem 5 i. Free body diagram of the mass is ii. Apply Newton’s Law and project the forces onto x-axis and y-axis respectively, ) sin( ) ( ) cos( ) ( θ mg f t x m mg N t y m = = ± ± ± ± Cleary, there is no displacement along y-axis. Thus, 0 ) ( t y
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This note was uploaded on 09/28/2010 for the course MECHENG 360 taught by Professor Gillespie during the Fall '10 term at University of Michigan.

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HW1+solution

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