Analysis and Application of Rigid Body Dynamics Theory in Billiards Sport

This article conducts mechanical analysis of billiards and studies its motion laws. For convenience, only situations as the ball arm bats the billiards in the horizontal direction are considered. Besides, collision between one billiard ball and another or between a ball and the “KEXING” is assumed to be elastic. The following cases are quantitatively analyzed based on the rigid body dynamics theory: the “Safety zone” to prevent the slider and rod drop when the ball arm hits the cur ball; the principle and function of fixed rod ball, push rod ball, tie rod ball and side spinning ball; the relative motion between the white billiard and the mesa; the Kinematic relation when the white billiard collides with the aim billiard; the Kinematic relation when the white billiard collides with the “KEXING”. By analyzing the dynamic characteristics of billiards sport, this article provides guidance for players with a scientific batting and helps to correct the misunderstanding in billiards theory. Except for providing theoretical material for this popular indoor recreation project, this study can also offer a mathematical model of billiards for the future designers and developers of billiards games to make it closer to the real motion.