Publication Date

9-18-2019

Department

Ames Laboratory; Physics and Astronomy

Campus Units

Physics and Astronomy, Ames Laboratory

OSTI ID+

1567253

Report Number

IS-J 10044

DOI

10.1119/1.5115340

Journal Title

American Journal of Physics

Volume Number

87

Issue Number

10

First Page

802

Abstract

Cycloidal paths are ubiquitous in physics. Here, we show that representative cycloidal paths in physics can be described as superpositions of translations and rotations of a point through space. Using this unifying principle, the parametric equations of the path of a point on a rolling disk are derived for rolling without slipping, rolling with frictionless slipping, and when kinetic solid-on-solid friction is present during rolling with slipping. In a similar way, the parametric equations versus time for the orbit with respect to a star of a moon in a circular orbit about a planet that is in a circular orbit about a star are derived, where the orbits are coplanar. The parametric equations versus time for the path of the magnetization vector during undamped electron-spin resonance are found using the same principle, which show that cycloidal paths can occur under specified conditions.

DOE Contract Number(s)

AC02-07CH11358

Language

en

Department of Energy Subject Categories

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Publisher

Iowa State University Digital Repository, Ames IA (United States)

Included in

Physics Commons

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