JEE Physics · Medium

Rigid Body Dynamics: MOI — Dumbbell MCQ

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

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MOI — DumbbellMediumQuestion 30351

Question

Two equal masses (m each) at opposite ends of a massless rod (length 2L). MOI about the centre, perpendicular to rod, is:
  1. A
    mL²
  2. B
    2mL²
    Correct
  3. C
    4mL²
  4. D
    mL²/2

Correct answer

2mL²

Explanation

Each mass is at distance L from the centre: I = m×L² + m×L² = 2mL².