billiard ball of mass M and radius R is initially moving with speed v0 without rotating. The ball slows down thanks to kinetic friction between the billiard ball and the table top, but starts rotating at the same time. Eventually, the ball rolls without slipping. The coefficient of kinetic friction between the table top is μk. Find the angular acceleration of the ball and the acceleration of the center of mass before it starts rolling without slipping. Find the speed of the center of mass when the ball starts rolling without slipping.

billiard ball of mass M and radius R is initially moving with speed v0 without rotating. The ball slows down thanks to kinetic friction between the billiard ball and the table top, but starts rotating at the same time. Eventually, the ball rolls without slipping. The coefficient of kinetic friction between the table top is μk. Find the angular acceleration of the ball and the acceleration of the center of mass before it starts rolling without slipping. Find the speed of the center of mass when the ball starts rolling without slipping.

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