Question

A monkey is decending from the branch of a tree with constant acceleration. If the breaking strength is $75\%$ of the weight of the monkey, the minimum acceleration with which monkey can slide down without branch is

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

Answer 1

Answer: (C)

Let $T$ be the tension in the branch of a tree when monkey is decending with acceleration $a$
Thus, $mg-T=ma$
also, $T=75\%$ of weight of monkey
$T=\left(\frac{75}{100}\right)mg=\frac{3}{4}mg$
$\therefore ma=mg-\left(\frac{3}{4}\right)mg=\frac{1}{4}mg$
or $a=\frac{g}{4}$