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A monkey is climbing on a rope that goes...

A monkey is climbing on a rope that goes over a smooth light pulley and supports a block of equal mass at the other end. Show that whatever force the monkey exerts on the rope, the monkey and the block move in the same direction with

Text Solution

Verified by Experts

The correct Answer is:
A
Given `m= 15 kg`
` a= 1 m/s^2`
from free body diagram
(
`T-[15g+15(1)]=0`
`rarr T= 5(10+1)`
`rarr T= 15xx11=165N`
The monkey should apply 165 N force to the rope.
Initial velocity `u=0`
Acceleration, `a=1 m/s^2`
`S=5m`
From `S= ut+ 1/2 at^2`
` 5=0+(1/2)xx1xxt^2`
`rarr t^2 = 5xx2`
`rarr t= sqrt(10) sec`
Hence time required is `sqrt(10)` sec.
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