Figure $1($a$)$ shows a basic diagram of a car's suspension system. As the car moves on the road, the up$-$ and$-$down movements of the tires cause the suspension system to respond. The system's motion includes translational movement of the car's center of mass and a rotational motion around it$.$ Modelling the entire system mathematically is complex. A much simpler version of the suspension system is shown in Figure $1($b$).$ Assume that the movement $x_i(t)$ at point $P$ is the input to the system, and the up$-$anddown movement $x_0(t)$ of the car's body is the output. Find the transfer function $G(s),$ considering only the vertical motion of the body. The displacement $x_0(t)$ is measured from the equilibrium position when there is no input $x_i(t).$Q