Transcription of 1863 Atheoreticalanalysisofbilliardball ...
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1863 Atheoreticalanalysisofbilliardball ...
1863A theoretical analysis of billiard balldynamics under cushion impactsS Mathavan , M R Jackson,andR M ParkinMechatronics Research Group, Wolfson School of Mechanical and Manufacturing Engineering, LoughboroughUniversity, Loughborough, UKThe manuscript was received on 9 September 2009 and was accepted after revision for publication on 30 November : :The last two decades have seen a growing interest in research related to have been a number of projects aimed at developing training systems, robots, and com-puter simulations for billiards. Determination of billiard ball trajectories is important for all ofthese systems. The ball s collision with a cushion is often encountered in billiards and it drasti-cally changes the ball trajectory, especially when the ball has spin. This work predicts ball bounceangles and bounce speeds for the ball s collision with a cushion, under the assumption of insignifi-cant cushion deformation. Differential equations are derived for the ball dynamics during theimpact and these equations are solved numerically.
1863 Atheoreticalanalysisofbilliardball dynamicsundercushionimpacts SMathavan∗,MRJackson,and RMParkin Mechatronics Research Group,Wolfson School of Mechanical and Manufacturing Engineering, Loughborough
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