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

A uniform solid disc rolls without slipping down an incline of angle θ. Its linear acceleration is:

Answer: 2g sinθ/3.

  • A g sinθ
  • B g sinθ/2
  • C 2g sinθ/3
  • D 5g sinθ/7

Correct answer: C. 2g sinθ/3

Explanation: a = g sinθ/(1 + I/MR²) = g sinθ/(1 + 1/2) = 2g sinθ/3.

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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