An ideal block and tackle system of 5 pulleys consist of 3 pulleys in the upper block and 2 pulleys in the lower block. If the load is raised by 1 m, through what distance will effort move.

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Solution

The correct option is C
5m

As there are 5 strings in the block and tackle system,

Velocity ratio of the system = VR = n = 5 [ $∵$ System is ideal]

Also $d_{L} = 1 m$

$V . R = \frac{d_{E}}{d_{L}},$ where $d_{E}$ and $d_{L}$ are displacement of effort and load respectively.

$d_{E} = 5 \times d_{L} = 5 \times 1 = 5 m$

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An ideal block and tackle system of 5 pulleys consist of 3 pulleys in the upper block and 2 pulleys in the lower block. If the load is raised by 1 m, through what distance will effort move.

The correct option is C 5m As there are 5 strings in the block and tackle system, Velocity ratio of the system = VR = n = 5 [∵ System is ideal] Also dL =1 m V.R=dEdL, where dE and dL are displacement of effort and load respectively. dE=5×dL=5×1=5 m