The equation of motion of the mechanical system in Figure 8.4 is (b dot{y}+k(y-x)=0) where (x) and

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The equation of motion of the mechanical system in Figure 8.4 is \(b \dot{y}+k(y-x)=0\) where \(x\) and \(y\) are the input and the output, respectively, and \(b, k=\) const. Assuming zero initial condition, find the response when \(x\) is a

a. Unit impulse

b. Unit step

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