Laws of Motion - Result Question 36
36. 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 breaking the branch is
[1993]
(a) $g$
(b) $\frac{3 g}{4}$
(c) $\frac{g}{4}$
(d) $\frac{g}{2}$
Topic 3: Friction
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Answer:
Correct Answer: 36. (c)
Solution:
- (c) Let $T$ be the tension in the branch of a tree when monkey is descending with acceleration a. Then $mg-T=m a$; and $T=75 %$ of weight of monkey,
$\therefore m a=m g-(\frac{75}{100}) m g=(\frac{1}{4}) m g$
or $a=\frac{g}{4}$.
