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

Which of the following has the largest moment of inertia for same mass M and radius R, about the central axis?

Answer: Thin ring.

  • A Hollow cylinder
  • B Solid cylinder
  • C Solid sphere
  • D Thin ring

Correct answer: D. Thin ring

Explanation: Ring: I = MR² (all mass at maximum distance). Hollow cylinder: I = MR². Solid cylinder: MR²/2. Solid sphere: 2MR²/5. Ring and hollow cylinder tie at MR².

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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