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?