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Q.

A cubical block of side L rests on a rough horizontal surface with coefficient of friction p. A horizontal force F' is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slip before toppling, the minimum force required to topple the block is:

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a

infinitesimal

b

mg/4

c

mg/2

d

mg(1 - μ)

answer is C.

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Detailed Solution

FBD of block in case of topplingAbout point O, τF≥τmgSo, FL ≥ mg (L/2)⇒F≥mg2

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A cubical block of side L rests on a rough horizontal surface with coefficient of friction p. A horizontal force F' is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slip before toppling, the minimum force required to topple the block is: