JEE Physics · Medium

Rigid Body Dynamics: Incline — Comparison MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Incline — ComparisonMediumQuestion 30334

Question

The acceleration of a rolling body down a smooth incline (angle θ) with MOI I = kMR² is:
  1. A
    g sinθ/(1+k)
    Correct
  2. B
    g sinθ
  3. C
    g sinθ/(k+1)
  4. D
    g cosθ/(1+k)

Correct answer

g sinθ/(1+k)

Explanation

a = g sinθ/(1 + I/MR²) = g sinθ/(1 + kMR²/MR²) = g sinθ/(1+k).