$$a$.$Draw free body diagrams for all the elements in this

system$$and$$write the kinematic and dynamic equations

$.$b$.$Express the equations you wrote in the s$-$region $($use Laplace$)$

$.$c$.$Using x$($t$)$ being the input to the system and w$($t$)$being

the output of the system $,$Find the transfer function between

x $($t$)$ and w $($t$).($please write your equations by accepting that all movements are

small, that is$,$ by linearizing $)$