On the Stopping Time of a Bouncing Ball

Details On the Stopping Time of a Bouncing Ball On the Stopping Time of a Bouncing Ball

2007-06-13

arxiv.org/abs/0706.1978v1

Physics

Mathematical Physics

Submitted to archive for rational mechanics and analysis

Scientific paper

We study a simple model of a bouncing ball that takes explicitely into account the elastic deformability of the body and the energy dissipation due to internal friction. We show that this model is not subject to the problem of inelastic collapse, that is, it does not allow an infinite number of impacts in a finite time. We compute asymptotic expressions for the time of flight and for the impact velocity. We also prove that contacts with zero velocity of the lower end of the ball are possible, but non-generic. Finally, we compare our findings with other models and laboratory experiments.

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