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Question 30668
JEE Physics · Hard

Circular Motion: Advanced — Bead on Rotating Rod MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Advanced — Bead on Rotating RodHardQuestion 30668

Question

A bead on a smooth horizontal rotating rod at initial radius r₀ with zero velocity (relative to rod). As the rod rotates at ω, the bead slides outward. The equation of motion in the rotating frame is:
  1. A
    ma = −mω²r (inward)
  2. B
    ma = mω²r (outward, centrifugal)
  3. C
    ma = mωr
  4. D
    ma = mω²r + Coriolis
    Correct

Correct answer

ma = mω²r + Coriolis

Explanation

In the rotating frame: bead experiences centrifugal force mω²r (outward) and Coriolis force −2mω × v' (where v' is velocity in rotating frame). Both affect the bead's motion in the rotating frame.

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