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