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One end of a horizontal uniform beam of weight W and length L is hinged on a vertical wall at point O and its

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 aW 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 (22)W. Which of the following statement(s) is(are) correct? L W L (A) The vertical component of reaction force at O does not depend on a (B) The horizontal component of reaction force at O is equal to W for a = 0.5 (C) The tension in the rope is 2W for a=0.5 (D) The rope breaks if a > 1.5 P aW

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