{"title":"Exact Solution of the Problem of Brachistochrone with Allowance for the Coulomb Friction Forces","authors":"S. O. Gladkov","doi":"10.1134/S1063785023040016","DOIUrl":null,"url":null,"abstract":"<p>A system of differential equations describing the problem of brachistochrone with allowance for Coulomb friction forces is derived using the moving-basis method. An exact analytical solution of this system is obtained in the parametric form; a particular case of this solution in the limit <span>\\(\\mu \\to 0\\)</span> is transformed into the equation of classical brachistochrone.</p>","PeriodicalId":784,"journal":{"name":"Technical Physics Letters","volume":"49 3","pages":"26 - 28"},"PeriodicalIF":0.8000,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Technical Physics Letters","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063785023040016","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
A system of differential equations describing the problem of brachistochrone with allowance for Coulomb friction forces is derived using the moving-basis method. An exact analytical solution of this system is obtained in the parametric form; a particular case of this solution in the limit \(\mu \to 0\) is transformed into the equation of classical brachistochrone.
期刊介绍：
Technical Physics Letters is a companion journal to Technical Physics and offers rapid publication of developments in theoretical and experimental physics with potential technological applications. Recent emphasis has included many papers on gas lasers and on lasing in semiconductors, as well as many reports on high Tc superconductivity. The excellent coverage of plasma physics seen in the parent journal, Technical Physics, is also present here with quick communication of developments in theoretical and experimental work in all fields with probable technical applications. Topics covered are basic and applied physics; plasma physics; solid state physics; physical electronics; accelerators; microwave electron devices; holography.
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