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A block and tackle system has V.R. = 5. Rohan exerts a pull of 150 kgf. What is the maximum load he can raise with this pulley system if its efficiency = 75%?

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Question

A block and tackle system has V.R. = 5.

Rohan exerts a pull of 150 kgf. What is the maximum load he can raise with this pulley system if its efficiency = 75%?

Numerical
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Solution

Given: Velocity ratio, VR = 5

Effort = 150 kgf

Efficiency = 75%

We know that efficiency, `eta = "Mechanical Advantage"/"Velocity Ratio"`

`75/100 = "MA"/5`

`Ma =  5 xx 75/100`

∴ Mechanical advantage = 3.75

But, Mechanical advantage = `"Load(L)"/"Effort(E)"`

∴ Load  = Mechanical advantage x Effort

= 3.75 × 150 Kgf

= 562.5 Kgf

Therefore, Rohan can raise a maximum load of 562.5 kgf with this pulley system.

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Chapter 1: Force, Work, Energy and Power - Frequently Asked Questions in Board Examination [Page 78]

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Frank Physics Part 2 [English] Class 10 ICSE
Chapter 1 Force, Work, Energy and Power
Frequently Asked Questions in Board Examination | Q 18. (b) (ii) | Page 78

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