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)

$\frac{g}{4}$

Answer 2

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
$T=\Big(\frac{75}{100}\Big)mg=\frac{3}{4}mg$
$\therefore ma = mg-\Bigg(\frac{3}{4}\Bigg) mg=\frac{1}{4}mg$ or $a=\frac{g}{4}$