5.50 A trailer of mass M, connected to a wall through a spring of stiffness k and a damper of damping coefficient c, slides on a frictionless surface, as shown in Fig. 5.49. A uniform rigid bar, pin-connected to the trailer, can oscillate about the hinge point, O. Derive the equations of motion of the system under the applied forces F(t) and M,(t) indicated in Fig. 5.49. FIGURE 5.49 0(1) F(t) x(t) Trailer, mass M Mt) Rigid bar, length I, mass m