The motion of a conical pendulum in a rotating frame: The study of the paths, determination of oscillation periods, and the Bravais pendulum
dc.contributor.author | Giacometti, Jose A. [UNESP] | |
dc.contributor.institution | Universidade de São Paulo (USP) | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.date.accessioned | 2020-12-10T20:13:46Z | |
dc.date.available | 2020-12-10T20:13:46Z | |
dc.date.issued | 2020-04-01 | |
dc.description.abstract | In 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.affiliation | Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560590 Sao Carlos, SP, Brazil | |
dc.description.affiliation | Univ Estadual Paulista, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP, Brazil | |
dc.description.affiliationUnesp | Univ Estadual Paulista, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP, Brazil | |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
dc.description.sponsorship | INEO (Brazil) | |
dc.format.extent | 292-297 | |
dc.identifier | http://dx.doi.org/10.1119/10.0000374 | |
dc.identifier.citation | American Journal Of Physics. Melville: Amer Inst Physics, v. 88, n. 4, p. 292-297, 2020. | |
dc.identifier.doi | 10.1119/10.0000374 | |
dc.identifier.issn | 0002-9505 | |
dc.identifier.uri | http://hdl.handle.net/11449/197333 | |
dc.identifier.wos | WOS:000522116800006 | |
dc.language.iso | eng | |
dc.publisher | Amer Inst Physics | |
dc.relation.ispartof | American Journal Of Physics | |
dc.source | Web of Science | |
dc.title | The motion of a conical pendulum in a rotating frame: The study of the paths, determination of oscillation periods, and the Bravais pendulum | en |
dc.type | Artigo | |
dcterms.rightsHolder | Amer Inst Physics | |
unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulo | pt |