In a block and tackle system consisting of 3 pulleys, a load of $75 k g f$ is raised with an effort of $25 k g f$ , find the velocity ratio.

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Solution

Given:
The block and tackle system consists of 3
pulleys, i.e. $n = 3$
In a system of $n = 3$ 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 $d_{L} = d$ then distance moved by the effort end is $d_{E} = n d = 3 d$
So the velocity ratio is,
$V . R . = \frac{d_{E}}{d_{L}} = \frac{n d}{d} = n = 3$

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In a block and tackle system consisting of 3 pulleys, a load of 75kgf is raised with an effort of 25kgf, find the velocity ratio.

In a block and tackle system consisting of 3 pulleys, a load of $75 k g f$ is raised with an effort of $25 k g f$ , find the velocity ratio.