On a Class of Planar Geometrical Curves with Constant Reaction Forces Acting on Particles Moving Along Them

Autor:	S. B. Bogdanova, S. O. Gladkov
Rok vydání:	2021
Předmět:	Statistics and Probability Class (set theory) Applied Mathematics General Mathematics Mathematical analysis Abscissa Function (mathematics) Trough (economics) symbols.namesake Planar Reaction symbols Point (geometry) Constant (mathematics) Mathematics
Zdroj:	Journal of Mathematical Sciences. 257:27-30
ISSN:	1573-8795 1072-3374
Popis:	In this paper, we find the dependence of the reaction force N(y) of a curved trough of arbitrary shape described by a function y(x). Based on the extremum condition dN/dx valid for any point of the abscissa axis, we examine the equation N(y, y', y'') = const whose solutions determine the desired class of curves y(x). We obtain an analytic solution of this equations and perform numerical simulations for various values of parameters. Examples of functions y(x) for which N = const are presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ed54b1fd6e060251b8ed7f852b7b7801 https://doi.org/10.1007/s10958-021-05466-4 Zobrazit plný text záznamu Plný text ve formátu PDF