Modeling the beam as a uniform thin bar, ignoring the inertia of the pulleys, assuming tha...

Modeling the beam as a uniform thin bar, ignoring the inertia of the pulleys, assuming that the system is in static equilibrium when the bar is horizontal, and assuming that the cord is inextensible and does not go slack, determine the linearized equation of motion of the system. In addition, determine the system’s natural frequency of vibration. Treat the parameters shown in the figure as known.

Figure P9.73