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Question

The given figure shows a block and tackle system of pulleys used to lift a load. When the load is pulled up by a distance 1 m, how far does the effort end move?



A

8 m

loader
B

2 m

loader
C

1 m

loader
D

4 m

loader

Solution

The correct option is D

4 m


Given displacement of load dL=1 m

The tension in the string is as shown below:

Here the load is being supported by 4 segments of the string i.e. number of strands supporting the load = 4

So, load (L) = 4T and Effort (E) = T

 M.A=LoadEffort=4TT=4

In a system of 4 pulleys, if the load moves up through a distance of 1 m, each segment of the string supporting the load moves through the distance of 1 m. The number of segments of the same string moving up will be 4. This means that the total distance moved by the string is 4×1, which is the distance moved by the end of the string that represents the effort.

i.e., If dL=d and dE=nd

Here,  dL=1 m and n = 4.

Hence, dE=4×1=4 m


Physics

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