Suppose a solid disk of radius R is given an angular speed i about an axis through

Question:

Suppose a solid disk of radius R is given an angular speed ώi about an axis through its center and then lowered to a horizontal surface and released, as in Problem 56 (Fig. P11.56). Furthermore, assume that the coefficient of friction between disk and surface is 1.
(a) Show that the time interval before pure rolling motion occurs is Rώi/3μg.
(b) Show that the distance the disk travels before pure rolling occurs is R2ώi 2/18μg.