hw2 - MEEN 364 Fall 2004 Homework Set 2 Due 5:00 PM(1 Find...

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MEEN 364 Homework Set 2 Fall 2004 September 9, 2004 1 Homework Set 2 Due September 16, 2004 @ 5:00 PM (1) Find the inverse Laplace transform of this function: 2 () ( 2) s e Fs ss - = + (2) The equation of motion for the mass-damper-spring system is a second-order differential equation. Solve the initial value problem using Laplace transforms: ( ) . .: (0)=0 m, (0)=0 m/s m x b x k x f t i c xx ++=  wher e 1 kg , 2 N s/m , 4 N/m , () is applied to the system and given below. m b k ft = = ⋅= (3 ) A discrete-time sinusoid is periodic only if its frequency, f o is a rational number. Determine which of the following discrete-time sinusoids x ( n ) are periodic. For those that are periodic, compute their fundamental periods (the fundamental period is the shortest period of repetition for the signal): a)
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