Question

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

• A. g
• B. 3g /4
• C. g /4
• D. g /2

Answer 1

The correct option is C g /4

$\begin{array}{c}\text{Given,}\\ \text{Breaking strength (Tension maximum) =}75\%\text{of}\\ \text{monkey weight}\end{array}$

$\therefore T_{max}=\frac{75}{100}\times m\times g$

$\begin{array}{cc}\text{where,}m=& \text{mass of monkey}\\ g=& \text{acceleration due to}\\ \text{gravity.}& \end{array}$

$\text{as monkey is sliding down}$

$\begin{array}{c}mg-T_{max}=m{d}_{min}\\ \therefore \mathrm{Tmax}=\frac{3}{4}mg\end{array}$

$\begin{array}{c}mg-\frac{3}{4}mg=m{a}_{min}\\ \frac{mg}{4}=m{a}_{min}\\ a_{min}=\frac{g}{4}\end{array}$