Dynamics of Golf Ball-Hole Interactions: Rolling Around the Rim

[+] Author and Article Information
Mont Hubbard

Sports Biomechanics Laboratory, Department of Mechanical and Aeronautical Engineering, University of California, Davis, CA 95616

Tait Smith

Orthopaedic Research Laboratory, School of Medicine, University of California, Davis, CA 95616

J. Dyn. Sys., Meas., Control 121(1), 88-95 (Mar 01, 1999) (8 pages) doi:10.1115/1.2802446 History: Received October 13, 1997; Online December 03, 2007


A previous study of a golf ball rolling on the rim of a cup neglected the spin of the ball about a line perpendicular to the plane of contact. The capture process is studied here by numerically solving the equations for rolling without slipping on the rim. The boundary in the velocity-impact parameter space separating roll-in and roll-out trajectories corresponds to initial conditions for a set of near guasi-equilibrium trajectories. Stability of the equilibrium trajectories is investigated using symbolic linearization of perturbation solutions from them. Although the locally unstable equilibrium trajectories themselves are not attainable from the two-space of pure rolling initial conditions, the boundary is nevertheless a “barrier” in that it corresponds to long contact times and large roll around angles.

Copyright © 1999 by The American Society of Mechanical Engineers
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