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Study on the Motion of a Tennis Ball for an Efficient Swing Pattern to Send the Ball Toward a Target
New Phys.: Sae Mulli 2017; 67: 1378~1387
Published online November 30, 2017;
© 2017 New Physics: Sae Mulli.

Sun-Hyun YOUN*

Department of Physics, Chonnam National University, Gwangju 61186, Korea
Correspondence to:
Received September 12, 2017; Accepted October 16, 2017.
cc This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

We study the motion of a ball hit by a tennis racket. The direction, velocity, and spin of the ball are calculated based on a simple model. The motion of the ball on the surface of the racket is studied by using the Lagrangian method with a constrains. The motion of the ball after a collision is studied as functions of the relative velocity between the racket and the ball, the force on the racket, the mass of the racket, and the tension of the strings. So as to be able to send a ball to a given target, we calculate efficient swing patterns for various conditions of the incoming ball, such as its velocity, angle and the spin.

PACS numbers: 01.80.+b, 02.60.Jh
Keywords: Tennis swing, Lagrange equation, Collision of racket and ball

March 2018, 68 (3)
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