# 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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