Tautochrone in the damped cycloidal pendulum
Classical Physics
2016-11-07 v2
Abstract
The tautochrone on a cycloid curve is usually considered without drag force. In this work, we investigate the motion of a damped cycloidal pendulum under presence of a drag force. Using the Lagrange formulation, and considering linear dependence with velocity for damping force, we found the dynamics of the system to remain tautochrone. This dictates the possibility for studying the tautochrone experimentally, e.g. the cycloidal pendulum in water or oil.
Keywords
Cite
@article{arxiv.1506.04943,
title = {Tautochrone in the damped cycloidal pendulum},
author = {Paco H. Talero L and César A. Herreño-Fierro and Fernanda Santana},
journal= {arXiv preprint arXiv:1506.04943},
year = {2016}
}
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