A uniform rigid beam of mass \(M\) and length \(L\) is attached to a vertical wall by a frictionless hinge. The beam is held in a horizontal position by a lightweight cable that is attached to the right end of the beam and to the wall. The cable makes an angle \(\theta\) with the beam. A small block of mass \(m\) is placed on the beam at a distance \(x\) from the hinge. The entire system is initially in static equilibrium.