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Unformatted text preview: o in terms of the input voltage V 1 , and components. Problem: Derive the output voltage V in terms of the input voltages and the resistors. Problem: (a) Determine the equation(s) of motion for the springmassdamper cart system shown below. Show all your work and clearly justify your steps. (b) Find the transfer function between the applied force and the motion of mass M 1 . Problem: Estimate the transfer function for an unknown system with the following step response: Problem: Find the inverse Laplace transform for the following: ( ) ) ( ) ( b s k a s k s F + + = where k , a , b are constants The following relationships may be useful: at at at at e a s s a bt e b a s a s bt b s s e bt e b a s b bt b s b = + = + + + = + = + = + + = + 1 ) ( ) cos( ) ( ) cos( a s 1 ) sin( ) ( ) sin( 2 2 2 2 2 2 2 2...
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 Spring '08
 Wang
 Laplace

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