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

Options

A. infinitesimat
B. `mg//4`
C. `mg//2`
D. `mg(l-mu)`

Answer

C

Explanation

The applied force shifts the normal reactions to one corner as shown in the figure. At this situations, the cubical block starts toppling about O. Taking torque about O, we get,

`F x L = mg xx L/2 rArr F = (mg)/2`.