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

The moment of inertia of a solid sphere of mass M and radius R about a tangent line is:

Answer: 7MR²/5.

  • A 2MR²/5
  • B 7MR²/5
  • C 7MR²/2
  • D MR²

Correct answer: B. 7MR²/5

Explanation: By the parallel-axis theorem: I = (2/5)MR² + MR² = 7MR²/5.

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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