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⚛️ Physics  ·  System of Particles and Rotational Motion  ·  NEET & JEE

A disk has moment of inertia I about its axis. What is the moment of inertia of a ring of same mass and radius about its axis?

Answer: 2I.

  • A 2I
  • B I/2
  • C I
  • D 4I

Correct answer: A. 2I

Explanation: Disk: I<sub>disk</sub> = MR²/2. Ring: I<sub>ring</sub> = MR² = 2I<sub>disk</sub>. So the ring has twice the MI of the disk.

axis OPr⊥Fττ = r⊥ × F = r × F × sinθ

Torque about axis O equals the force F multiplied by the perpendicular distance r⊥ from the axis to the line of action of the force, producing rotation.

Concept context

Moment of inertia, torque, angular momentum, rolling motion. Very high JEE weightage.

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