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Question

A pulley system has 5 pulleys in all and is 90% efficient. If the effort required to lift a load is 1000 N, find the resistance due to the movable parts of machine and friction.


A

100 N

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B

111.1 N

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C

155.5 N

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D

2000 N

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Solution

The correct option is B

111.1 N


Let resistance due to the movable parts of machine and friction = x

Number of pulley, n = 5 = V.R

Efficiency = 90%

M.A = η× V.R

M.A = 90100 × 5 = 4.5

Load = 1000 N

M.A = LoadEffort

92 = 1000E

E = 20009 = 222.2 N

M.A = V.R – xE

x = E (V.R – M.A) = 20009 (5 – 4.5) = 20009 × 510

x = 111.1 N


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