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  4. 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

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Q. 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

AIPMTAIPMT 1993Laws of Motion

Solution:

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