JEE Physics · Hard

Laws of Motion and Friction: Constraint — Two Pulleys MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Constraint — Two PulleysHardQuestion 30240

Question

In a system where one end of a rope is fixed and the other goes over a pulley attached to a block, if the free end is pulled down at speed v, the block rises at:
  1. A
    v
  2. B
    v/2
    Correct
  3. C
    2v
  4. D

Correct answer

v/2

Explanation

With the pulley attached to the block (movable pulley), two rope segments support the block. When the free end moves by x, the block moves by x/2. So block's speed = v/2.