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

The spin angular momentum of Earth is approximately 7 × 10³³ kg·m²/s. If Earth suddenly contracted to half its radius, its day would be:

Answer: 6 hours.

  • A 6 hours
  • B 24 hours
  • C 12 hours
  • D 3 hours

Correct answer: A. 6 hours

Explanation: I = (2/5)MR². If R halves, I becomes (1/4) of original. L = Iω is conserved, so ω quadruples and T = 24/4 = 6 hours.

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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