Brachistochrone Problem and Vaconomic Mechanics
Classical Physics
2021-05-04 v5
Abstract
We consider different generalizations of the Brachistochrone Problem in the context of fundamental concepts of classical mechanics. The correct statement for the Brachistochrone problem for nonholonomic systems is proposed. It is shown that the Brachistochrone problem is closely related to vakonomic mechanics.
Cite
@article{arxiv.2104.03913,
title = {Brachistochrone Problem and Vaconomic Mechanics},
author = {Oleg Zubelevich},
journal= {arXiv preprint arXiv:2104.03913},
year = {2021}
}