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Question 30355
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Rigid Body Dynamics: Rolling Energy MCQ

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Rolling EnergyHardQuestion 30355

Question

A solid cylinder (mass 2 kg, radius 0.1 m) rolls from rest at top of a 5 m long incline (θ = 30°). Speed at bottom is: (g = 10)
  1. A
    5.77 m/s
    Correct
  2. B
    6.67 m/s
  3. C
    7.07 m/s
  4. D
    4.08 m/s

Correct answer

5.77 m/s

Explanation

Height h = 5 sin30° = 2.5 m. For solid cylinder (k=1/2): v = √(4gh/3) = √(4×10×2.5/3) = √(100/3) ≈ 5.77 m/s.

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