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 frictions sufficienty high so that the block does not slide before toppling, the minimum force required to topple the block is :
.

Options

A. infinitesimal
B. `mg//4`
C. `mg//2`
D. `mg (1- mu)`

Answer

C

Explanation

For toppling
`F xx L ge mg xx (L)/(2)`
`F ge (mg)/(2)`
`F_(min) = (mg)/(2)`.
.