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Question

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 3a4 above the base. The minimum value of 'F' for which the cube begins to tilt about the edge is (assume that the cube does not slide).

A
23mg
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B
43mg
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C
54mg
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D
12mg
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Solution

The correct option is A 23mg
The minimum force for which cube begins to tilt, the normal reaction should pass through the tilting edge point 'O'.
Taking moments about point O,
F×3a4=mg×a2
F=23mg.

924950_295556_ans_6d0251df6fa84c288329b151db160a0b.JPG

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