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

The rotational kinetic energy of a body with moment of inertia I rotating at angular speed ω is:

Answer: (1/2)Iω².

  • A (1/2)Iω²
  • B Iω²
  • C (1/2)mv²
  • D

Correct answer: A. (1/2)Iω²

Explanation: KE_rot = (1/2)Iω², the rotational analogue of (1/2)mv² for translational KE.

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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