P $2\mathrm{.}1$

A mechanical system is shown in Fig. $2\mathrm{.}1.$ which is subjected to a known displacement $x_3(t)$ with

respect to the reference.

$($a$)$ Determine the rwo independent equations of motion $($Hint: draw two Free body Diagrams$)$

$($b$)$ Draw electronic analogous system of the given mechanical system.

$($c$)$ Assume initial condition are zero, obtain Laplace transform equations based on the answers

of

P$2.$la and determine the transfer function $T_{13}(s).$

Fig $2\mathrm{.}1$