Impedance of rigid bodies in one-dimensional elastic collisions
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.
Keywords
Cite
@article{arxiv.1212.1322,
title = {Impedance of rigid bodies in one-dimensional elastic collisions},
author = {Janilo Santos and Bruna P. W. de Oliveira and Osman Rosso Nelson},
journal= {arXiv preprint arXiv:1212.1322},
year = {2012}
}
Comments
4 pages, 4 figures