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TECHNICAL PAPERS

Numerical Analysis of the Basketball Shot

[+] Author and Article Information
Larry Silverberg, Chau Tran, Kit Adcock

Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, North Carolina 27695

J. Dyn. Sys., Meas., Control 125(4), 531-540 (Jan 29, 2004) (10 pages) doi:10.1115/1.1636193 History: Received August 02, 2002; Revised April 21, 2003; Online January 29, 2004
Copyright © 2003 by ASME
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References

National Collegiate Athletic Association, 2001, “NCAA Men’s and Women’s Basketball Rules and Interpretations,” [Rule 1, Sections 12, 13, and 15], Indianapolis, IN (also ww.ncaa.org).
Brancazio,  P. J., 1981, “Physics of Basketball,” Am. J. Phys., 49, 356–365.
Hamilton,  G. R., and Reinschmidt,  C., 1997, “Optimal Trajectory for the Basketball Free Throw,” J. Sports Sci., 15, 491–504.
Tan,  A., and Miller,  G., 1981, “Kinematics of the Free Throw in Basketball,” Am. J. Phys., 49(6), June, 542–544.
Liu,  S., and Burton,  A. W., 1999, “Changes in the Basketball Shooting Patterns as a Function of Distance,” Percept. Mot. Skills, 89, 831–845.
Miller,  S., and Bartlett,  R., 1996, “The Relationship Between Basketball Shooting Kinematics, Distance, and Playing Position,” J. Sports Sci., 14, 243–253.
Silverberg, L., and Thrower, J. P., 2001, Mark’s Mechanics Problem Solving Companion, McGraw-Hill Book Company.
Ang, A., and Tang, W. H., 1975, Probability Concepts in Engineering Planning and Design: Volume 1—Basic Principles, John Wiley and Sons, Inc.

Figures

Grahic Jump Location
General free body diagram
Grahic Jump Location
Dimensions of backboard, hoop and court
Grahic Jump Location
Nominal bank shot angle
Grahic Jump Location
Shot that bounces repeatedly off of backboard and rim
Grahic Jump Location
Shot that bounces off of backboard and rim
Grahic Jump Location
Initial velocity versus initial pitch angle for direct foul shot with no spin
Grahic Jump Location
Initial velocity versus initial pitch angle for direct foul shot with spin
Grahic Jump Location
Initial velocity versus initial pitch angle for direct side shot with spin
Grahic Jump Location
Initial velocity versus initial pitch angle for bank side shot with spin
Grahic Jump Location
Rolling and sliding down an incline

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