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

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a

3mg4

b

2mg3

c

mg4

d

none of these

answer is B.

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Detailed Solution

Here,To topple about edge xx'τnet xx,=0⇒Fmin3a4=mga2∴Fmin=2mg3

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