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

A wheel of radius R rolls without slipping. What is the acceleration of the topmost point?

Answer: 2a (horizontal, direction of motion).

  • A 2a (horizontal, direction of motion)
  • B a in most textbook accounts during normal conditions
  • C zero as generally observed in typical laboratory settings
  • D a in vertical direction under usual circumstances

Correct answer: A. 2a (horizontal, direction of motion)

Explanation: The top point has velocity 2v. Its acceleration has both centripetal (ω²R = a upward) and translational (a forward) components. The horizontal component is 2a (both a<sub>cm</sub> and centripetal contribute horizontally).

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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