A classical mechanics problem by Brilliant Member

A uniform cylinder of radius \(R\) is spun about its axis to an angular velocity \(\omega_0\) and then placed in a corner. The coefficient of friction between the wall (and floor) and the cylinder is \(\mu\). How many radians does it spin through before stopping?

Assumptions and Details

  • \(\mu=\sqrt{3}\)
  • \(\omega_0 = 2 \sqrt{\pi}\si{\radian\per\second}\)
  • \(R=\SI{0.25}{\meter}\)
  • \(g=\SI{10}{\meter\per\second\squared}\)

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