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Dynamics of a solid body

Problem 1.248

A uniform cylinder of radius \(R\) is spinned about its axis to the angular velocity \(\omega_{0}\) and then placed into a corner (Fig. 1.58). The coefficient of friction between the corner walls and the cylinder is equal to \(k\). How many turns will the cylinder accomplish before it stops?

Reveal Answer
n=(1+k2)ω02R/8πk(k+1)gn=\left(1+k^{2}\right) \omega_{0}^{2} R / 8 \pi k(k+1) g
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