Perturbation of a classical oscillator: A variation on a theme of Huygens

The motion of a particle in different potentials is investigated theoretically and experimentally. The dependence of the period of oscillation on the amplitude is studied for pendula associated with some of these potentials. A technique is proposed to modify the trajectory of a pendulum bob so that...

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Autores principales: Gil, S., Di Gregorio, D.E.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00029505_v74_n1_p60_Gil
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spelling todo:paper_00029505_v74_n1_p60_Gil2023-10-03T13:54:53Z Perturbation of a classical oscillator: A variation on a theme of Huygens Gil, S. Di Gregorio, D.E. The motion of a particle in different potentials is investigated theoretically and experimentally. The dependence of the period of oscillation on the amplitude is studied for pendula associated with some of these potentials. A technique is proposed to modify the trajectory of a pendulum bob so that it moves along a predetermined curve, and a simple and low cost experiment to study the relation between the period and amplitude for different potentials is discussed. We report on the motion of several pendula whose periods decrease with increasing amplitude. In particular, we study the effects of a perturbation of the form z4 on the frequency of oscillation of a simple harmonic oscillator. Our results agree with the expectation that any perturbation of a simple harmonic oscillator destroys its isochronism. © 2006 American Association of Physics Teachers. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00029505_v74_n1_p60_Gil
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The motion of a particle in different potentials is investigated theoretically and experimentally. The dependence of the period of oscillation on the amplitude is studied for pendula associated with some of these potentials. A technique is proposed to modify the trajectory of a pendulum bob so that it moves along a predetermined curve, and a simple and low cost experiment to study the relation between the period and amplitude for different potentials is discussed. We report on the motion of several pendula whose periods decrease with increasing amplitude. In particular, we study the effects of a perturbation of the form z4 on the frequency of oscillation of a simple harmonic oscillator. Our results agree with the expectation that any perturbation of a simple harmonic oscillator destroys its isochronism. © 2006 American Association of Physics Teachers.
format JOUR
author Gil, S.
Di Gregorio, D.E.
spellingShingle Gil, S.
Di Gregorio, D.E.
Perturbation of a classical oscillator: A variation on a theme of Huygens
author_facet Gil, S.
Di Gregorio, D.E.
author_sort Gil, S.
title Perturbation of a classical oscillator: A variation on a theme of Huygens
title_short Perturbation of a classical oscillator: A variation on a theme of Huygens
title_full Perturbation of a classical oscillator: A variation on a theme of Huygens
title_fullStr Perturbation of a classical oscillator: A variation on a theme of Huygens
title_full_unstemmed Perturbation of a classical oscillator: A variation on a theme of Huygens
title_sort perturbation of a classical oscillator: a variation on a theme of huygens
url http://hdl.handle.net/20.500.12110/paper_00029505_v74_n1_p60_Gil
work_keys_str_mv AT gils perturbationofaclassicaloscillatoravariationonathemeofhuygens
AT digregoriode perturbationofaclassicaloscillatoravariationonathemeofhuygens
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