Question

A cubical block of side $L$ rests on a rough horizontal surface with coefficient of friction $\mu$. 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 slide before toppling, the minimum force required to topple the block is :

• A. Infinitesimal
• B. $mg/4$
• C. $mg/2$
• D. $mg(1-\mu )$

Answer 1

The correct option is C $mg/2$

The block will topple if, $(F\times L)>mg\times \frac{L}{2}$
or, $F>\frac{mg}{2}$
Thus, the least force, $F_{min}=\frac{mg}{2}$