Question

Find minimum value of $l$ so that truck can avoid the dead end, without toppling the block kept on it.

• A. $\frac{3h{v}^2}{2bg}$
• B. $\frac{h{v}^2}{2bg}$
• C. $\frac{2h{v}^2}{bg}$
• D. $\frac{2b{v}^2}{gh}$

Answer 1

The correct option is B $\frac{h{v}^2}{2bg}$


To avoid toppling, the condition would be
$ma\frac{h}{2}\le mg\frac{b}{2}\Rightarrow a\le \frac{b}{h}g$
Final velocity of truck is zero. So that
$0=v^2-2\left(\frac{b}{h}g\right)l$
$\Rightarrow l=\frac{h{v}^2}{2bg}$