A billiard ball of radius R and mass Mis struck with a cue in such a way that the line of action of the applied momentum is horizontal and passes through the center of the ball. The initial velocity of the ball is v, and the coefficient of friction between the ball and the table is up. Consider that the angular velocity w, at the moment of the impulse is zero. Find the acceleration of the center of mass of the ball while it was skating; the velocity of the ball's center of mass when it stops skating and finally the distance the ball travels before it stops skating.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A billiard ball of radius R and mass Mis struck with a cue in such a way that the line of action of the applied momentum is horizontal and
passes through the center of the ball. The initial velocity of the ball is v, and the coefficient of friction between the ball and the table is up.
Consider that the angular velocity w, at the moment of the impulse is zero. Find the acceleration of the center of mass of the ball while it was
skating; the velocity of the ball's center of mass when it stops skating and finally the distance the ball travels before it stops skating.
R
5vo
12v
Ans. ä =-k9
Vf
49H9
Transcribed Image Text:A billiard ball of radius R and mass Mis struck with a cue in such a way that the line of action of the applied momentum is horizontal and passes through the center of the ball. The initial velocity of the ball is v, and the coefficient of friction between the ball and the table is up. Consider that the angular velocity w, at the moment of the impulse is zero. Find the acceleration of the center of mass of the ball while it was skating; the velocity of the ball's center of mass when it stops skating and finally the distance the ball travels before it stops skating. R 5vo 12v Ans. ä =-k9 Vf 49H9
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