A heavy box of man $M$ is placed in a truck accelerating horizontally with $a$. If the width and hei

Question

A heavy box of man $M$ is placed in a truck accelerating horizontally with $a$. If the width and height of the box are $b$ and $h$ respectively, and the coefficient of friction between the block and the truck is $\mu$, then

Professor PC Thomas Classes · Answer

The block topples when the resultant of $M a$ and $M g$ passes through the rear corner of the box.
That is, when $\frac{M a}{M g}>\frac{b / 2}{h / 2}$ or $a>\frac{b}{h} g$
The box does not slide as long as $a<\mu g$.