Problem B$-4-1$

Find the transfer function of mechanical system shown in

figure below. The displacement and are measured from

their respective equilibrium positions. Obtain the

displacement when the input is a step displacement of

magnitude occurring at $t=0.$ Assume that $.$

Solve for the transfer function as instructed. Then, for the

response, $,$ solve for it using the following system

parameters: $N,\frac{N}{m},\frac{N}{m},$ and $N-\frac{s}{m}($Note that the book

uses for the damping constant$).$ Lastly, identify the

components of the free$/$forced response and the

transient$/$steady response in your result.

Figure $4-50$ Mechanical system.