Question

A monkey is descending 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 breaking the branch is

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

Answer 1

Answer: (C)

$\frac{g}{4}$

Let T be the tension in the branch of a tree when monkey is descending with acceleration a.

Then $mg-T=ma$; and or minimum acceleration $T=T_{max}=75\%$ of weight of monkey

$ma=mg-\frac{75}{100}\ast mg=\frac{1}{4}mg$

or

$a=\frac{g}{4}$.