Problem B$-4-12$

Consider the mechanical system shown in Figure $4-59.$ The

system is initially at rest. The displacements and are

measured from their respective equilibrium positions before

the input is applied. Assume that $=1N-\frac{s}{m},=10N-\frac{s}{m},=$

$4\frac{N}{m},$

and $=20\frac{N}{m}.$ Obtain the displacement when is a step force

input of $2$ N $.$

Plot the response curve versus with MATLAB.

Identify the transfer function and then use MATLAB or

Simulink to solve Problem B$-4-12.$

Hint: This system has two nodes: the upper node

displacement and the lower node has displacement. You

must draw a FBD of each node.

To receive full credit, you must submit a printout of your

code, a print$-$out of the figure of your response, and

comment on the results $($as demonstrated in class$).$