A cubical block of slide L rests on a rough horizontal surface with coefficient of friction μ …

Q: A cubical block of slide L rests on a rough horizontal surface with coefficient of friction μ . 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

Numerical

(a)Infinitesimal

(b)mg/4

(c)mg/2

(d)mg (1-μ)

Ans: (c)

The block will topple when

$\large \tau_{F} > \tau_{mg}$ (About point of toppling)

$\large F L > (mg )\frac{L}{2}$

$\large F > \frac{m g}{2}$

The minimum force required to topple the block is

$\large F = \frac{m g}{2}$