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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