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

A solid cylinder and a hollow cylinder of the same mass and radius are released from rest at the top of the same incline. Which reaches the bottom first?

Answer: the solid cylinder.

  • A the solid cylinder
  • B the hollow cylinder
  • C they arrive together
  • D it depends on the mass

Correct answer: A. the solid cylinder

Explanation: The solid cylinder has smaller I/MR², so larger acceleration, and reaches the bottom first.

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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