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Question 30384
JEE Physics · Hard

Rigid Body Dynamics: Advanced — Rolling Friction MCQ

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Advanced — Rolling FrictionHardQuestion 30384

Question

A solid sphere rolling on a rough incline will eventually slip (not roll) if μₛ is less than:
  1. A
    (2/7)tanθ
    Correct
  2. B
    tanθ
  3. C
    (5/7)tanθ
  4. D
    (2/5)tanθ

Correct answer

(2/7)tanθ

Explanation

Minimum μ for rolling without slipping down incline (solid sphere, k=2/5): μ_min = [k/(1+k)] tanθ = (2/5)/(7/5) tanθ = (2/7)tanθ.

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