Problem B$-4-7$

In the system of Figure $4-56,x(t)$ is the input displacement and $(t)$ is the output angular

displacement. Assume that the masses involved are negligibly small and that all motions

are restricted to be small; therefore, the system can be considered linear. The initial con$-$

ditions for $x$ and $$ are zeros, or $x(0-)=0$ and $(0-)=0.$ Show that this system is a dif$-$

ferentiating element. Then obtain the response $(t)$ when $x(t)$ is a unit$-$step input.