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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00029505_v71_n11_p1115_Gil |
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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 |
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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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1807321779186696192 |