Nonisochronism in the interrupted pendulum

We experimentally studied the dependence of the period of the interrupted pendulum as a function of the amplitude for small angles of oscillation. We found a new kind of dependence of the period with the amplitude of the pendulum that indicates that if the interruption is not located on the main ver...

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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_v71_n11_p1115_Gil
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spelling todo:paper_00029505_v71_n11_p1115_Gil2023-10-03T13:54:51Z Nonisochronism in the interrupted pendulum Gil, S. Di Gregorio, D.E. We experimentally studied the dependence of the period of the interrupted pendulum as a function of the amplitude for small angles of oscillation. We found a new kind of dependence of the period with the amplitude of the pendulum that indicates that if the interruption is not located on the main vertical axis that contains the point of suspension, the period of the interrupted pendulum is highly nonisochronous and does not converge to a definite value as the maximum amplitude approaches zero. We have developed a simple model that satisfactorily explains the experimental data with no adjustable parameters. This property of the interrupted pendulum is a general property of the parabolic potential consisting of two quadratic forms with different curvatures that join at a point different from the apex or the vertex. © 2003 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_v71_n11_p1115_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 We experimentally studied the dependence of the period of the interrupted pendulum as a function of the amplitude for small angles of oscillation. We found a new kind of dependence of the period with the amplitude of the pendulum that indicates that if the interruption is not located on the main vertical axis that contains the point of suspension, the period of the interrupted pendulum is highly nonisochronous and does not converge to a definite value as the maximum amplitude approaches zero. We have developed a simple model that satisfactorily explains the experimental data with no adjustable parameters. This property of the interrupted pendulum is a general property of the parabolic potential consisting of two quadratic forms with different curvatures that join at a point different from the apex or the vertex. © 2003 American Association of Physics Teachers.
format JOUR
author Gil, S.
Di Gregorio, D.E.
spellingShingle Gil, S.
Di Gregorio, D.E.
Nonisochronism in the interrupted pendulum
author_facet Gil, S.
Di Gregorio, D.E.
author_sort Gil, S.
title Nonisochronism in the interrupted pendulum
title_short Nonisochronism in the interrupted pendulum
title_full Nonisochronism in the interrupted pendulum
title_fullStr Nonisochronism in the interrupted pendulum
title_full_unstemmed Nonisochronism in the interrupted pendulum
title_sort nonisochronism in the interrupted pendulum
url http://hdl.handle.net/20.500.12110/paper_00029505_v71_n11_p1115_Gil
work_keys_str_mv AT gils nonisochronismintheinterruptedpendulum
AT digregoriode nonisochronismintheinterruptedpendulum
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