en
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 ballâ€™s spin, friction, and other well-known effects in the game of pool.
http://link.springer.com/10.1007%2Fs12045-014-0015-0
2019-04-11T01:10
Why some pool shots are more difficult than others
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https://scigraph.springernature.com/explorer/license/
research_article
2014-02
2014-02-01
articles
2
0973-712X
Resonance
0971-8044
10.1007/s12045-014-0015-0
doi
19
Richard N.
Zare
Pure Mathematics
pub.1039098719
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Springer Nature - SN SciGraph project
Jankunas
Justin
Mathematical Sciences
Department of Chemistry, Stanford University, 94305, Stanford, CA, USA
Stanford University
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