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Question

In figure, draw a tackle to lift the load by applying the force in the downward direction. If the load is raised by 1 m, through what distance will the effort move?

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Solution

Given:
The block and tackle system consists of 5
pulleys, i.e. n=5.
Velocity ratio of block and tackle system of n
pulleys is
V.R.=dEdL=n
dE=ndL
In a system of n=5 pulleys, if the load moves up through a distance d, each segment of string supporting the load gets loosened by a length d.

So, if dL=1m then distance moved by the effort end is dE=ndL=5(1m)=5m

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