A uniform rigid beam of mass \(M\) and length \(L\) is attached to a vertical wall by a hinge at its left end. The beam is held in a horizontal position by a taut, lightweight cable. One end of the cable is attached to the beam at a distance \(3L/4\) from the hinge, and the other end is attached to the wall above the hinge. The cable makes an angle \(\theta\) with the horizontal beam. A small block of mass \(m\) hangs from a lightweight string attached to the rightmost end of the beam. The entire system is in static equilibrium.