Why some pool shots are more difficult than others View Full Text


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Article Info

DATE

2014-02

AUTHORS

Justin Jankunas, Richard N. Zare

ABSTRACT

The physics behind the game of billiards is rather well understood as is our grasp of classical mechanics. We present here a mathematical explanation of why slice shots are more difficult than direct shots. Despite a large number of treatises dedicated to the study of physics of billiards, it appears that the simple explanation has escaped our attention until now. We show that high impact-parameter shots impart a larger angular spread to the object ball, compared to head-on shots. The effect can be understood in terms of a non-linear relationship between the impact parameter and the scattering angle, and the fact that a real-world pool player does not have a perfect cue ball control; in other words, the impact parameter distribution is not a delta function, but has a finite spread. To keep the mathematics simple and not to obscure the underlying physical principles our treatment ignores the ball’s spin, friction, and other well-known effects in the game of pool. More... »

PAGES

116-122

Journal

TITLE

Resonance

ISSUE

2

VOLUME

19

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s12045-014-0015-0

DOI

http://dx.doi.org/10.1007/s12045-014-0015-0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1039098719


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