Rotation 5 Question 21

33. A uniform cube of side a and mass m rests on a rough horizontal table. A horizontal force F is applied normal to one of the faces at a point that is directly above the centre of the face, at a height 3a/4 above the base. The minimum value of F for which the cube begins to tip about the edge is (Assume that the cube does not slide).

(1984,2M)

True / False

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Answer:

Correct Answer: 33. 23mg

Solution:

  1. Taking moments about point O Moments of N (normal reaction) and f (force of friction) are zero. In critical case normal reaction will pass through O. To tip about the edge, moment of F should be greater than moment of mg. Or,

F3a4>(mg)a2

 or F>23mg



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