2024/01/19 by Hyeong-Chan Kim, Kim, Hyeong-Chan
Engineering · Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Popular Physics (physics.pop-ph) #Quantum chaos and dynamical systems #Sports Dynamics and Biomechanics
paper · pdf · doi:10.48550/arxiv.2402.13258
openalex publication_date 2024/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the collision dynamics of a spinning cue ball approaching a static object ball with equal mass on a plane, common in billiards. While typical collisions in billiards are nearly perfectly elastic, with a restitution coefficient close to 1 and low friction, we explore three deviations from ideal elastic collisions: The non-elastic nature, the friction effects between the balls during collision, the friction between the ball and the table. We describe the detailed collision outcomes, emphasizing the importance of considering frictions. We reveal that friction, both between the balls and with the table, significantly influences the post-collision motions, deviating from the expectations of a purely elastic collision. The insights gained contribute to a better understanding of ball dynamics, impacting strategies and gameplay in billiards.