English

Exploring a rheonomic system

Classical Physics 2009-10-31 v1

Abstract

A simple and illustrative rheonomic system is explored in the Lagrangian formalism. The difference between Jacobi's integral and energy is highlighted. A sharp contrast with remarks found in the literature is pointed out. The non-conservative system possess a Lagrangian not explicitly dependent on time and consequently there is a Jacobi's integral. The Lagrange undetermined multiplier method is used as a complement to obtain a few interesting conclusions

Keywords

Cite

@article{arxiv.physics/9912049,
  title  = {Exploring a rheonomic system},
  author = {Antonio S. de Castro},
  journal= {arXiv preprint arXiv:physics/9912049},
  year   = {2009}
}