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Q.

A uniform cube of side a and mass m rests on a rough horizontal surface. A horizontal force F is applied normal to one face at a point that is directly above the centre of the face at a height a/4 above the centre. The minimum value of F for which the cube begins to topple above an edge without sliding is

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a

$\frac{1}{2} mg$

b

$\frac{2}{3} mg$

c

2mg

d

$\frac{1}{4} mg$

answer is D.

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Detailed Solution

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$F \times \frac{3 a}{4} > mg (\frac{a}{2})$

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A uniform cube of side a and mass m rests on a rough horizontal surface. A horizontal force F is applied normal to one face at a point that is directly above the centre of the face at a height a/4 above the centre. The minimum value of F for which the cube begins to topple above an edge without sliding is