Reference no: EM132567500

Consider a pool table where a billiard ball of mass M and radius R, initially at rest on the table, is hit so that the ball is given an initial center of mass speed Vo and a backspin with angular speed Wo . A kinetic friction force acts on the ball as it slides on the table. Take the moment of inertia of the ball about its center of mass to be I=(2/5)MR2

Draw a free body diagram of all the forces acting on the ball during its motion, prior to undergoing pure rolling.

Find the critical angular speed Wc such that, if Wo=Wc, the kinetic friction will bring the ball to a complete stop. Give answer in terms of Vo and R.

If the magnitude of the initial backspin is Wo = 1.25Wc, determine the ball's center of mass velocity when it starts to roll without slipping.

Give answer in terms of Vo