Multiple Pulley's Lifting Mechanical Advantage

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The illustration below shows a combination of a double and triple block pulley system. The pulleys each turn freely on a pin as axis, and are drawn with different diameters, to show the parts of the rope more clearly. There are 5 parts of rope.

Note: For rope (n1, n2, etc.), the velocity which the weight W will be raised equals of the velocity of the force applied at F.

Force to Raise Load:

F = eW/n

Pulley Mechanism

Weight Lifted by known force:

W = nF/e

Velocity ratio VR = n

where: n = number of ropes between the sets of pulleys (= 5 in figure).


W = Unknown weight
F = Applied force
n = number of ropes or cables
e = efficiency

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