You are sitting on the edge of a horizontal disk (for example, a playground merry-go-round) that has radius 3.00 mm and is rotating at a constant rate about a vertical axis. The coefficient of static friction between you and the surface of the disk is 0.430.  a) What is the minimum time for one revolution of the disk if you are not to slide off? b) Your friend's weight is half yours. If the coefficient of static friction for him is the same as for you, what is the minimum time for one revolution if he is not to slide off?

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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!