Gears and pulleys in non-Euclidean space forms

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Cunha, Heleno S., de Souza, Lucas H. R., Prado, Sergio A. P.
Format: Preprint
Published: 2024
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866909131915395072
author Cunha, Heleno S.
de Souza, Lucas H. R.
Prado, Sergio A. P.
author_facet Cunha, Heleno S.
de Souza, Lucas H. R.
Prado, Sergio A. P.
contents In this article we study, in their non-Euclidean versions, two important mechanical systems that are very common in numerous devices. More precisely, we study the laws governing the movement of pulley and gear systems in spherical and hyperbolic geometries. And curiously, we were able to see an interesting similarity between the determined laws.
format Preprint
id arxiv_https___arxiv_org_abs_2403_04849
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gears and pulleys in non-Euclidean space forms
Cunha, Heleno S.
de Souza, Lucas H. R.
Prado, Sergio A. P.
Differential Geometry
Metric Geometry
Primary: 51P05, 70B10, Secondary: 51M10
In this article we study, in their non-Euclidean versions, two important mechanical systems that are very common in numerous devices. More precisely, we study the laws governing the movement of pulley and gear systems in spherical and hyperbolic geometries. And curiously, we were able to see an interesting similarity between the determined laws.
title Gears and pulleys in non-Euclidean space forms
topic Differential Geometry
Metric Geometry
Primary: 51P05, 70B10, Secondary: 51M10
url https://arxiv.org/abs/2403.04849