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Four movable pulleys are arranged as in the first system. If the weight of each pulley is 5 N, calculate the effort which can lift a load of 10 kN.

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+1 vote
in Machine Kinematics by (38.0k points)
Four movable pulleys are arranged as in the first system. If the weight of each pulley is 5 N, calculate the effort which can lift a load of 10 kN.

(a) 629.7 N

(b) 615 N

(c) 625 N

(d) none of the mentioned

This question was addressed to me in quiz.

My doubt stems from Pulleys in division Belt, Rope and Chain Drives of Machine Kinematics

1 Answer

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by (106k points)
The correct choice is (a) 629.7 N

For explanation: We know that M.A. = 2^nW/W + w(2^n – 1)

where W = load to be lifted

w = weight of each pulley

n = no. of movable pulleys

therefore, M.A. = 2^4 x 10000/10000 + 5(2^4 – 1) = 10000/P

           P = 10000 + 5(2^4 – 1)/ 2^4 = 629.7 N.

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