MCQ
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
  • A
    $\frac{3 g}{4}$
  • $\frac{g}{4}$
  • C
    $g$
  • D
    $\frac{g}{2}$

Answer

Correct option: B.
$\frac{g}{4}$
b
Let $T$ be the tension in the branch of a tree when monkey is descending with acceleration $a$.

$mg -T=m a$

$T=75 \%$ of weight of monkey,

$m a=m g-\left(\frac{75}{100}\right) m g=\left(\frac{1}{4}\right) m g$

$a=\frac{g}{4}$.

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