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

A point mass m is attached to the end of a string and rotates in a horizontal circle of radius r. The angular momentum about the centre is L = mvr. If r is halved and v is doubled, L becomes:

Answer: L.

  • A L
  • B 2L
  • C L/2
  • D 4L

Correct answer: A. L

Explanation: L' = m(2v)(r/2) = mvr = L. Angular momentum remains the same.

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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