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JEE Advanced 2021 Paper 2

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Question : 1

Total: 57

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 αW 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√2)W. Which of the following statement(s) is(are) correct?

The vertical component of reaction force at O does not depend on α
The horizontal component of reaction force at O is equal to W for α=0.5
The tension in the rope is 2W for α=0.5
The rope breaks if α>1.5

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