# A classical mechanics problem by shubham dhull

**Classical Mechanics**Level 4

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**

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