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Rigid Body Dynamics: Pure Rolling MCQ

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Pure RollingEasyQuestion 30307

Question

For a sphere rolling without slipping on a flat surface, the relationship between linear speed v of the centre and angular speed ω is:
  1. A
    v = ωR
    Correct
  2. B
    v = ω/R
  3. C
    v = 2ωR
  4. D
    ω = 2v/R

Correct answer

v = ωR

Explanation

No-slip condition: the contact point has zero velocity. This gives v_cm = ωR.

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