MEEN 364Homework Set 2 Fall 2004September 9, 2004 1Homework Set 2–Due September 16, 2004 @ 5:00 PM (1)Find the inverse Laplace transform of this function: 2()(2)seFsss-=+(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/smxbxkx fticxx++=where1 kg,2 N s/m,4 N/m,() is applied to the system and given below.mb kft==⋅=(3)A discrete-time sinusoid is periodic only if its frequency, fois a rational number. Determine which of the following discrete-time sinusoids x(n) are periodic. For those that are periodic, compute their fundamentalperiods (the fundamental period is the shortest period of repetition for the signal): a)
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