Modeling the beam as a rigid uniform thin bar, ignoring the inertia of the pulleys, assumi...

Modeling the beam as a rigid 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 terms of x, which is the position of A. Finally, determine the amplitude of the steady-state vibration of block A.

Figure P9.46