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

The moment of inertia of a uniform rod of mass M and length L about one end is:

Answer: ML²/3.

  • A ML²/3
  • B ML²/12
  • C ML²/4
  • D ML²/6

Correct answer: A. ML²/3

Explanation: About one end, I = ML²/3. About the centre, I = ML²/12 (use parallel axis theorem to verify).

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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