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Question 30327
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Rigid Body Dynamics: Rolling — Speed at Bottom MCQ

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Rolling — Speed at BottomHardQuestion 30327

Question

A hollow cylinder (I = MR²) rolls without slipping from height h on an incline. Its speed at the bottom is:
  1. A
    √(2gh)
  2. B
    √(gh)
    Correct
  3. C
    √(4gh/3)
  4. D
    √(gh/2)

Correct answer

√(gh)

Explanation

Energy: mgh = ½mv² + ½Iω² = ½mv² + ½MR²(v/R)² = mv². So v² = gh → v = √(gh).

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