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

The moment of inertia of a uniform solid sphere of mass M and radius R about a diameter is:

Answer: (2/5)MR².

  • A (2/5)MR²
  • B (2/3)MR²
  • C MR²
  • D (1/2)MR²

Correct answer: A. (2/5)MR²

Explanation: For a solid sphere about its diameter, I = (2/5)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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