(Solved): Obtain the transfer function Yl(s)/U(s) of the mechanical system shown in Figure 3. The force u( ...

Obtain the transfer function $Y_l(s)/U(s)$ of the mechanical system shown in Figure 3. The force $u(t)$ applied to mass $m_2$ is the input to the system. The displacements $y_1$ and $y_2$ are the outputs of the system. Assume that $y_l$ and $y_2$ are measured from their respective equilibrium positions and assume zero initial conditions. Show the Free Body Diagram (FBD) of the system. Figure 3