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Freefall & Motion

A monkey of m...

Question

A monkey of mass $20 k g$ is holding a vertical rope. The rope can break when a mass of $25 k g$ is suspended from it. What is the maximum acceleration (in $m / s^{2})$ with which the monkey can climb up along the rope?

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Solution

Draw a free body diagram.

Find the maximum acceleration.

Let the acceleration of the monkey be $a$ .

Mass of monkey $m = 20 k g$

Breaking force required

$T = 25 \times 10 = 250 N$

Equation of motion:
$m a = T - m g$

Thus, we get,
$T = m (a + g)$
$250 = (20) (a + 10)$
$a = 2.5 m / s^{2}$
Final Answer: 2.5

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A monkey of mass 20kg climbs on a rope which can stand a maximum tension of 300 N.in which of the following cases the rope breaks? The monkey

Options

Climbs up with an acceleration of 6m/s2

Climbs up with a uniform speed of 5m/s

Climbs down with an acceleration of 4m/s2

Falls down the rope nearly freely under gravity

Ans :1st option

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