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

Which theorem relates the moment of inertia about an axis through the centre of mass to that about a parallel axis?

Answer: Parallel axis theorem.

  • A Parallel axis theorem
  • B Perpendicular axis theorem
  • C Superposition theorem
  • D Equipartition theorem

Correct answer: A. Parallel axis theorem

Explanation: Parallel axis theorem: I = I<sub>cm</sub> + Md², where d is the distance between the two parallel axes.

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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