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The Quarterly Journal of Mechanics and Applied Mathematics 1958 11(3):351-363; doi:10.1093/qjmam/11.3.351
© 1958 by Oxford University Press
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THE DYNAMICS OF A BOWL

M. N. BREARLEY and B. A. BOLT

( University of Adelaide Australia
University of Sydney Australia )

A mathematical model is set up which describes the dynamical behaviour of a bowl which rolls on a deformable plane surface. Approximate solutions of the equations of motion are obtained, adequate for prediction of a bowl's behaviour under normal playing conditions. These give the equation of the path and show that the angle of deflexion from a straight line is independent of the velocity of projection provided the bowling green conditions remain unchanged.

The intrinsic equation of the bowl path is found to be of the form , where the parameter p and the constant of proportionality depend on the type of bowl and the green conditions.

The results are compared with observations on bowling greens and test-tables.


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