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Question 30344
JEE Physics · Hard

Rigid Body Dynamics: Rolling — Slipping to Rolling MCQ

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Rolling — Slipping to RollingHardQuestion 30344

Question

A billiard ball initially slides (no rotation) on a rough surface. It reaches pure rolling when:
  1. A
    v = 0
  2. B
    v_cm = ωR
    Correct
  3. C
    Friction becomes zero first
  4. D
    Normal force decreases

Correct answer

v_cm = ωR

Explanation

Initially sliding: kinetic friction decelerates translation (reduces v_cm) and increases rotation (increases ω). Pure rolling is achieved when v_cm = ωR.

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