First slide

Connected bodies

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 the monkey can slide down without breaking the branch is:

Moderate

A

g
B

3g/4
C

g/4
D

g/2

Solution

FBD of monkey,
$\begin{array}{l} mg - \frac{3}{4} mg = {ma}_{min} \Rightarrow a_{min} = \frac{g}{4} \\ So, T_{max} = \frac{3}{4} mg \end{array}$

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