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A cubical box of side L rests on a rough...

A cubical box of side L rests on a rough horizontal surface with coefficient of friction p. A horizontal force F is a applied on the block as shown in Fig. 15.4.6. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is

A

infinitesimal

B

mg/4

C

mg/2

D

mg `(-1mu)`

Text Solution

Verified by Experts

The correct Answer is:
c
Torque ` = tau_(1) = F (sqrt(2)) L sin 45^(@)` . The torque due to weight ` = tau_(2) = mg (sqrt(2)) L sin 45//2`. Solving the two equations, F = mg/2
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