The velocity ratio of a first system of pulleys with 5 pulleys is:

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PGCIL DT Civil 13 Aug 2021 Official Paper (NR I)
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  1. 2
  2. 16
  3. 32
  4. 1

Answer (Detailed Solution Below)

Option 3 : 32
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Detailed Solution

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Concept:

Pulleys

  • A systematic arrangement of one or more pulleys may provide a simple and convenient lifting machine.
  • Its function just performs the change in the direction of the applied force.
  • Depending on the arrangement, pulleys are classified as:
    1. First order pulley system
    2. Second order pulley system
    3. Third order pulley system.

F1 Krupalu Ravi 21.10.21 D2

  • It is to be noted that in the system considered, there are three movable pulleys and the velocity ratio is 23.
  • If there are only two movable pulleys, then velocity ratio would be 4 (i.e. 22).
  • In general, in the first order pulley system, velocity ratio (VR) is given by 2n, where, n is the number of movable pulleys present in the system. 

​Calculation:

Given, n = 5

Velocity ratio = 2n

Velocity ratio = 25 = 32

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