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Question 30363
JEE Physics · Medium

Rigid Body Dynamics: JEE — MOI Perpendicular MCQ

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JEE — MOI PerpendicularMediumQuestion 30363

Question

A uniform ring (mass M, radius R) in xy plane. I about x-axis is MR²/2. I about z-axis (perpendicular to plane) is:
  1. A
    MR²/4
  2. B
    MR²/2
  3. C
    MR²
    Correct
  4. D
    2MR²

Correct answer

MR²

Explanation

By symmetry for a ring: I_x = I_y = MR²/2. By perpendicular axis theorem: I_z = I_x + I_y = MR².

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