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Question 30264
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Laws of Motion and Friction: JEE — Rope Tension MCQ

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JEE — Rope TensionHardQuestion 30264

Question

A uniform rope of mass m and length L hangs from a ceiling. The tension at a point x from the free end is:
  1. A
    mg
  2. B
    mg(x/L)
    Correct
  3. C
    mg(1−x/L)
  4. D
    mg(L−x)/L

Correct answer

mg(x/L)

Explanation

The tension at point x from the free end supports the weight of the rope below it, which is (x/L)m×g. So T = mgx/L.

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