Laws Of Motion Question 273

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

Options:

A) g

B) $ \frac{3g}{4} $

C) $ \frac{g}{4} $

D) $ \frac{g}{2} $

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Answer:

Correct Answer: C

Solution:

[c] 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

$ \therefore ma=mg-( \frac{75}{100} )mg=( \frac{1}{4} )mg\text{ or }a=\frac{g}{4.} $



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