Question

A vertical board having a rough surface is accelerated horizontally with acceleration a such that a 5 Kg block pressing against it does not fall. If $\mu$ be the coefficient of friction, then the maximum acceleration of board is

Answer 1

Given,

Coefficient of friction is$\mu$.

Limiting friction force, $F_r=\mu mg$

Inertial force on $(m=5kg)$ is $ma$

$\mu mg=ma$

$a=\mu g$

Hence, maximum acceleration of board is $\mu g$