The motion of a conical pendulum in a rotating frame: The study of the paths, determination of oscillation periods, and the Bravais pendulum

Página do item simplificado
dc.contributor.authorGiacometti, Jose A. [UNESP]
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2020-12-10T20:13:46Z
dc.date.available2020-12-10T20:13:46Z
dc.date.issued2020-04-01
dc.description.abstractIn this paper, Newton's equations are solved to describe the motion of a conical pendulum in a rotating frame for the right- and left-hand conical oscillations. If the pendulum is started with the initial angular velocity (+/-omega(0) - Omega(z)), with omega(0) being the frequency of pendulum oscillation and Omega(z) the angular velocity of the rotating frame around the z-axis, the paths are shown to be circular, which would apparently indicate that the Coriolis force becomes non-effective in the rotating frame. This paper explains why the paths in the rotating frame are circular, and the difference between the periods for the right- and left-handed rotations is calculated analytically. It is also shown that in an inertial frame, the conical pendulum follows an elliptical path. As the Bravais pendulum is a conical pendulum oscillating at Earth's surface, its motion is also discussed. (C) 2020 American Association of Physics Teachers.en
dc.description.affiliationUniv Sao Paulo, Inst Fis Sao Carlos, BR-13560590 Sao Carlos, SP, Brazil
dc.description.affiliationUniv Estadual Paulista, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipINEO (Brazil)
dc.format.extent292-297
dc.identifierhttp://dx.doi.org/10.1119/10.0000374
dc.identifier.citationAmerican Journal Of Physics. Melville: Amer Inst Physics, v. 88, n. 4, p. 292-297, 2020.
dc.identifier.doi10.1119/10.0000374
dc.identifier.issn0002-9505
dc.identifier.urihttp://hdl.handle.net/11449/197333
dc.identifier.wosWOS:000522116800006
dc.language.isoeng
dc.publisherAmer Inst Physics
dc.relation.ispartofAmerican Journal Of Physics
dc.sourceWeb of Science
dc.titleThe motion of a conical pendulum in a rotating frame: The study of the paths, determination of oscillation periods, and the Bravais pendulumen
dc.typeArtigo
dcterms.rightsHolderAmer Inst Physics

Arquivos

Coleções

Artigos - Instituto de Física Teórica (IFT)