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One pendulum to run them all

AuthorsBarenboim, Gabriela ; Oteo, José Ángel
KeywordsAnalytical Solution
Centrifugal accelerations
Issue Date1-Jul-2013
PublisherInstitute of Physics Publishing
CitationEuropean Journal of Physics (34): 1049-1065 (2013)
AbstractThe analytical solution for the three-dimensional linear pendulum in a rotating frame of reference is obtained, including Coriolis and centrifugal accelerations, and expressed in terms of initial conditions. This result offers the possibility of treating Foucault and Bravais pendula as trajectories of the same system of equations, each of them with particular initial conditions. We compare them with the common two-dimensional approximations in textbooks. A previously unnoticed pattern in the three-dimensional Foucault pendulum attractor is presented.
Publisher version (URL)http://dx.doi.org/10.1088/0143-0807/34/4/1049
Appears in Collections:(IFIC) Artículos
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