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A uniform cylinder of radius r is spinned about its axis with an angular velocity

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Problem: A uniform cylinder of radius $r$ is spinned about its axis with an angular velocity $\omega$ and then placed into a corner. The coefficient of friction between the corner walls and the cylinder is equal to $\mu$. How many turns will the cylinder accomplish before it stops?

  1. $\frac{\omega^2 r(1+\mu^2)}{8\pi g \mu (1+\mu)}$
  2. $\frac{\omega^2 r(1+\mu^2)}{\pi g \mu (1+\mu)}$
  3. $\frac{\omega^2 r \mu^2}{8\pi g \mu (1+\mu)}$
  4. $\frac{\omega^2 r(1+\mu^2)}{8\pi g \mu^2}$
A uniform cylinder
A uniform cylinder

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