A uniform beam of mass \(M\) and length \(L\) is attached to a vertical wall by a pivot hinge at one end. The beam is held in a horizontal position by a cable attached to the other end of the beam at an angle \(\theta = 30^{\circ}\) relative to the beam, as shown in the figure. A student claims that because the beam is in equilibrium, the hinge does not exert any force on the beam. Which of the following correctly identifies whether the student's claim is correct and provides a valid justification?

Consider the axis of rotation to be at the hinge.