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An analytical model of dynamic sliding friction during impact
1Research Institute for Applied Mechanics, Kyushu University, 6-1 Kasuga, Fukuoka 816-8580, Japan.
Abstract:
Dynamic sliding friction was studied based on the angular velocity of a golf ball during an oblique impact. This study used the analytical model proposed for the dynamic sliding friction on lubricated and non-lubricated inclines. The contact area A and sliding velocity u of the ball during impact were used to describe the dynamic friction force Fd = λAu, where λ is a parameter related to the wear of the contact area. A comparison with experimental results revealed that the model agreed well with the observed changes in the angular velocity during impact, and λAu is qualitatively equivalent to the empirical relationship, μN + μη'dA/dt, given by the product between the frictional coefficient μ and the contact force N, and the additional term related to factor η' for the surface condition and the time derivative of A.
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