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A Man Raises a Load of 360 Kgf Using a Block and Tackle System of 3 Pulleys. If the Efficiency of the Pulley System is 60%, What Effort is Applied by the Man?

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Question

A man raises a load of 360 kgf using a block and tackle system of 3 pulleys. If the efficiency of the pulley system is 60%, what effort is applied by the man?

Numerical
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Solution

Given: L = 360 kgf, E = ?, Efficiency = 60% = 0.6,

Velocity ratio = No. of pulley in the system = 3.

Mechanical advantage (M.A.) = V.R. × Efficiency 

= 3 × 0.6 

= 1.8

But, M.A. =`"Load(L)"/"Effort(E)"`

∴ Effort (E) =`"Load(L)"/"M.A."`

= `360/1.8`

= 200 kgf.

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