Rotation 2

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

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

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