English

Brachistochrone and Sliding with Friction

Classical Physics 2023-05-31 v1

Abstract

Motions of a material point along a set of parabolas are studied, taking into account the forces of Coulomb friction. The obtained results are compared with similar motions along the cycloid. The analysis is carried out using numerical calculations in the Mathcad program.

Keywords

Cite

@article{arxiv.2305.18345,
  title  = {Brachistochrone and Sliding with Friction},
  author = {A. V. Kurilin},
  journal= {arXiv preprint arXiv:2305.18345},
  year   = {2023}
}

Comments

12 pages, 7 figures

R2 v1 2026-06-28T10:49:36.944Z