A billiard ball has mass M, radius R and moment of inertia about the center of mass Ic=2/5MR^2. The ball is struck by a cue stick along a horiontal line through the ball's center of mass so that the ball initially slides with a velocity Vo. As the ball moves across the table (which has a coefficient of sliding friction U ), its motion gradually changes from pure translation through slipping to rolling without slipping.(adsbygoogle = window.adsbygoogle || []).push({});

a)Develop an expression for linear velocity v of the center of the ball as a function of time while it is rolling without slipping

b)develop an expression for the angular velocity w of the ball as a function of time while it is rolling without slipping.

c)determine the time at which the ball begins to roll without slipping.

d) when the ball is struck it acquires an angular momentum about a fixed point P on the surface of the table. During the subsequent motion, the angular momentum about P remains constant despite the frictional force. Explain why it is so.

I'm stuck on the first part but am confident i could figure out b,c, and d if i had a little help with a. Is it kinematics V=Vi+at?

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# Ap physics rolling/slipping billiard ball

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