Analysis of a billiard ball movement

Authors: Abdulrazzak Jaroukh
Published in issue: #12(41)/2019
DOI: 10.18698/2541-8009-2019-12-558
Category: Mechanical Engineering and Machine Science | Chapter: Robots, Mechatronics, and Robotic Systems
Keywords: billiards, dynamic analysis, MATLAB simulation, modeling, mechatronic system, sliding motion, rotational motion, kinetic energy
Published: 25.12.2019

A dynamic analysis of the movement of a billiard ball on a table is performed. This analysis is divided into two parts, because the movement of the ball consists of two movements-sliding and rotational. Dynamic equations are given for calculating the initial speed that the ball must have in order to reach a predetermined position. A mathematical description of the process of modeling the movement of a billiard ball on a table in the MATLAB environment is given, the simulation results are presented in graphical form. The results of the work are planned to be used to control the movement of the gripper of a manipulation robot designed for playing billiards.

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