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A uniform cube of side ‘a’ and mass ‘m’ rest on a 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 λ=3a4  above the center. The minimum value of F for which the cube begins to topple above edge without sliding

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a

mg4

b

2mg

c

mg2

d

2mg3

answer is D.

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Detailed Solution

When cube is toppled about O          mg.a2=F.3a4⇒F=2mg3 .
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A uniform cube of side ‘a’ and mass ‘m’ rest on a 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 λ=3a4  above the center. The minimum value of F for which the cube begins to topple above edge without sliding