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Question 30340
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Rigid Body Dynamics: Rolling — Deceleration MCQ

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Rolling — DecelerationHardQuestion 30340

Question

A solid sphere (mass 1 kg, radius 0.1 m) rolling at 2 m/s encounters a rough patch. The deceleration due to friction force f is related to angular deceleration by:
  1. A
    a = fR/I
  2. B
    a = f/m and α = fR/I separately
    Correct
  3. C
    a = g sinθ
  4. D
    a = f(1 + 1/k)/m

Correct answer

a = f/m and α = fR/I separately

Explanation

For the centre of mass: f = ma. For rotation about centre: fR = Iα. Both equations are needed; they are not the same equation rearranged.

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