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Q.

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

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a

$\frac{3 g}{4}$

b

$\frac{g}{4}$

c

$\frac{g}{2}$

d

g

answer is C.

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Detailed Solution

Let T be the tension in the branch of a tree when monkey is descending with acceleration a. Then $mg - T = ma;$ and $T = 75 %$ of weight of monkey

$= (\frac{75}{100}) mg = (\frac{1}{4}) mg or a = \frac{g}{4}$

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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