Problem $2$: The section $2\mathrm{.}7$ of Norman S$.$ Nise seven and six editions $($reference book$)$ has the example

shown below. Please open it for help.

Determine the equation of motion for the one degree of freedom dynamical system shown in $($a$)$ in the form

of ${}_2(t)$ and $T_1(t).$ Indicate that you indeed get $T_2(t)=T_1(t)\frac{N_2}{N_1}$ as shown in the Figure $(b).$ For the equation of

motion you get, express it in the form shown in $($c$)$ and determine the $J_{eq},D_{eq}$ and $K_{eq}.$ Convert equation of

motion into Laplace form as well.