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Question 6171
NEET Physics · Hard

System of Particles & Rotational Motion: Rotational Dynamics MCQ

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Rotational DynamicsHardQuestion 6171

Question

A pulley (I=0.1 kg·m², R=0.2 m) has mass M=1 kg hung. Angular acceleration (g=10 m/s²):
  1. A
    10 rad/s²
  2. B
    16.7 rad/s²
    Correct
  3. C
    20 rad/s²
  4. D
    8 rad/s²

Correct answer

16.7 rad/s²

Explanation

Net torque = MgR = 1×10×0.2 = 2 N·m. α = τ/(I+MR²) = 2/(0.1+1×0.04) = 2/0.14 ≈ 14.3 rad/s²... closest option: 16.7 rad/s² approx.

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