JEE Physics · Hard

Rigid Body Dynamics: Advanced — MOI Continuous Body MCQ

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

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Advanced — MOI Continuous BodyHardQuestion 30376

Question

A cone (mass M, base radius R, height H) has its axis along the z-axis, apex at origin. Its MOI about the z-axis is:
  1. A
    MR²/2
  2. B
    3MR²/10
    Correct
  3. C
    MR²/3
  4. D
    MR²/5

Correct answer

3MR²/10

Explanation

For a solid cone about its own axis: I_z = (3/10)MR².