# Rotation 2

A solid cylinder of radius $$R$$ is set into rotation about its axis with angular speed $$\omega_{o}$$ then lowered with its lateral surface onto a horizontal plane and released. If the coefficient of friction is $$\mu$$, find after how much time (in seconds) will the cylinder start pure rolling.

If the time is given by $$t = \dfrac{ R \omega_{o}}{n \mu g}$$, find $$n$$.

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