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A monkey slides downward from a tree branch with uniform acceleration. If the maximum tension the branch can withstand is 75% of the monkey’s weight, what is the least downward acceleration that will allow the monkey to descend without snapping the branch?

1. g
2. 3g/4
3. g/4
4. g/2

Correct answer: g/4

Solution

For the sliding monkey, the branch tension is T = m(g - a). The branch holds if T <= 0.75 mg, i.e. m(g - a) <= 0.75 mg -> a >= 0.25 g. The least safe acceleration is g/4.

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