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Optimizing Billiard Ball Systems for Maximum Force Distribution

This project explores the analysis of a billiard ball system by drawing, removing gravity, adding air resistance, and giving the cue ball initial velocity. The simulation compares tight rack vs. loose rack force distribution.

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Optimizing Billiard Ball Systems for Maximum Force Distribution

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  1. ME115 Final Project Ali Javidan CSUS Spring 2003,Granda

  2. The analysis of a billiard ball system

  3. Drawing • First draw the system and the balls. • Then remove gravity. • Then add air resistance to the balls to simulate rolling resistance. • Finally give the cue ball an initial velocity.

  4. This is the force on the corner ball with a tight rack of balls. As you can see the velocity on the corner ball is high.

  5. In a loose rack, the front ball is not touching the rest of the balls. As you can see the velocity on the last ball is much lower.

  6. Simulation • Take the working model file and make sure the balls in the rack are all touching and run the simulation.

  7. Simulation • Now take the working model file and make a loose rack, by moving the leading ball out and run the simulation.

  8. Simulation • As you can see the tight rack gives a much better force distribution to all the balls. Loose Rack Tight Rack

  9. Conclusion So in the game of billiards it is very important to have a nice tight rack of balls. Thank you…

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