Impulse And Momentum

One end of a horizontal uniform beam of weight W and length L is hinged on a vertical wall at point O and its other end is supported by a light inextensible rope. The other end of the rope is fixed at point Q, at a height L above the hinge at point O. A block of weight \(\alpha\)W is attached at the point P of the beam, as shown in the figure (not to scale). The rope can sustain a maximum tension of (2\(\sqrt 2\))W. Which of the following statement(s) is(are) correct?