Question

A fireman wants to slide down a rope. The rope can bear a tension $\frac{3}{4}th$ of the weight of the man. With what minimum acceleration should the fireman slide down :

• A. $\frac{g}{3}$
• B. $\frac{g}{6}$
• C. $\frac{g}{4}$
• D. $\frac{g}{2}$

Answer 1

Answer: (C)

$\frac{g}{4}$

$T=mg(1-\frac{a}{g})$
$\frac{3}{4}mg=mg(1-\frac{a}{g})$
$a=\frac{1}{4}.g=\frac{g}{4}$
hence,option C is correct.