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arXiv · 1212.1322

Impedance of rigid bodies in one-dimensional elastic collisions

Janilo Santos·Bruna P. W. de Oliveira·Osman Rosso Nelson
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Abstract

In this work we study the problem of one-dimensional elastic collisions of billiard balls, considered as rigid bodies, in a framework very different from the classical one presented in text books. Implementing the notion of impedance matching as a way to understand eficiency of energy transmission in elastic collisions, we find a solution which frames the problem in terms of this conception. We show that the mass of the ball can be seen as a measure of its impedance and verify that the problem of maximum energy transfer in elastic collisions can be thought of as a problem of impedance matching between different media. This approach extends the concept of impedance, usually associated with oscillatory systems, to system of rigid bodies.

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Janilo Santos, Bruna P. W. de Oliveira, Osman Rosso Nelson. 2012-12-06. Impedance of rigid bodies in one-dimensional elastic collisions. https://arxiv.org/abs/1212.1322

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