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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 3 a / 4 above the base. The minimum value of F for which the cube begins to topple an edge is (assume that cube does not slide)

Options

  1. Amg 3
  2. Bmg 2
  3. C2 mg 3
  4. D3 mg 4

Correct answer

C. 2 mg 3

Step-by-step solution

For toppling about edge x x At the moment of toppling the normal force pass through axis xx '. F _ 3 a 4 = mg a 2 or F _ = 2 mg 3

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