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PRACTICE / Rolling without slipping

Translation and rotation share the descent

A uniform solid cylinder rolls without slipping down a 30° incline. Its moment of inertia is MR²/2.

Find its acceleration along the incline.

Organize the givens & assumptions
  • θ = 30°
  • I = MR²/2

g = 10 m/s²; rigid uniform cylinder; fixed incline, enough static friction for pure rolling and no rolling resistance.

  1. A10 m s−210\ \mathrm{m\,s^{-2}}
  2. B10/3 m s−210/3\ \mathrm{m\,s^{-2}}
  3. C5 m s−25\ \mathrm{m\,s^{-2}}
  4. D2.5 m s−22.5\ \mathrm{m\,s^{-2}}

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