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

A torque of 20 N·m acts on a rigid body for 4 s. If the body starts from rest, what is the angular momentum after 4 s?

Answer: 80 kg·m²/s.

  • A 80 kg·m²/s
  • B 320 kg·m²/s
  • C 5 kg·m²/s
  • D 20 kg·m²/s

Correct answer: A. 80 kg·m²/s

Explanation: Angular impulse = τ × t = ΔL. L = 20 × 4 = 80 kg·m²/s (starting from rest).

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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