Tennis Kinematics Transient Analysis: A Ball Spin & Racket Collision Description by Miltiadis A. Boboulos - HTML preview

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1mu2 =1mv21m1− k ()3EJ.f3

2 2 2 1+ k 2l3 max
u21−k u +1−k v +3EJ.f3v2 = 0. 1+ k 1+ k ml3 max

Solving the last square equation finds the value for the bouncing ball speed we are looking for. Nevertheless, if we have means available to measure this speed we can successfully determine the energy absorbed by the internal forces of the dissipation friction. The latter is essential for the cases when it is important to read the vibrations of the tennis racket.

7.3.4 Dimensioning the body of the tennis racket

The body of the tennis racket can be calculated because the actual racket body very much resembles the adopted simulation model of the tennis racket (cantilevermounted beam). According to the theory for calculating round-shaped cross-sectional area for this type of beam subjected to special bending load by a concentrated force at its unfixed end [23], we could write down the following formula: