Question

A box of dimensions $l$ and $b$ is kept on a truck, moving with an acceleration $a$. If the box does not slide, maximum acceleration for it to remain in equilibrium (w.r.t truck) is,

• A. $\frac{gl}{b}$
• B. $\frac{gb}{l}$
• C. $g$
• D. None of these

Answer 1

The correct option is B $\frac{gb}{l}$


If the box does not slide, it can topple about $O$

In the above $F.B.D$ (with respect to truck)

${\tau }_o=0$
$\Rightarrow ma\frac{l}{2}=mg\frac{b}{2}$

$\Rightarrow a=\frac{gb}{l}$

Hence, $\left(B\right)$ is the correct answer.