Artículo
Gil, S.; Di Gregorio, D.E. "Perturbation of a classical oscillator: A variation on a theme of Huygens" (2006) American Journal of Physics. 74(1):60-67
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Perturbation of a classical oscillator: A variation on a theme of Huygens |
| Autor: | Gil, S.; Di Gregorio, D.E. |
| Filiación: | Escuela de Ciencia y Tecnología, Universidad Nacional de San Martín, Provincia de Buenos Aires, Argentina Departamento de Física, Universidad de Buenos Aires, Argentina Laboratorio Tandar, Departamento de Física, Comisión Nacional de Energía Atómica, Buenos Aires, Argentina |
| Año: | 2006 |
| Volumen: | 74 |
| Número: | 1 |
| Página de inicio: | 60 |
| Página de fin: | 67 |
| DOI: | http://dx.doi.org/10.1119/1.2110549 |
| Título revista: | American Journal of Physics |
| Título revista abreviado: | Am. J. Phys. |
| ISSN: | 00029505 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029505_v74_n1_p60_Gil |
Referencias:
- Gil, S., Digregorio, D.E., Nonisochronism in the interrupted pendulum (2003) Am. J. Phys., 71 (11), pp. 1115-1120
- Pipes, L.A., Harvill, L.R., (1970) Applied Mathematics for Engineer and Physicist, 3rd Ed.., , McGraw-Hill, New York
- Goldstein, H., Poole, C., Safko, J., (2001) Classical Mechanics, 3rd Ed., , Addison-Wesley, Boston
- Sommerfeld, A., (1964) Mechanics, , Academic, New York
- Nelson, R.A., Olsson, M.G., The pendulum: Rich physics from a simple system (1986) Am. J. Phys., 54 (2), pp. 112-121
- Zilio, S.C., Measurement and analysis of large-angle pendulum motion (1982) Am. J. Phys., 50 (5), pp. 450-1445
- Fulcher, L.P., Davis, B.F., Theoretical and experimental study of the motion of the simple pendulum (1976) Am. J. Phys., 44 (1), pp. 51-55
- Marion, J.B., (1970) Classical Dynamics, 2nd Ed., , Academic, New York
- Villanueva, J.Z., Note on the rough cyclidal side track (1985) Am. J. Phys., 53 (5), pp. 490-491
- Stork, D.G., Yang, J.X., The general unrestrained brachistochrone (1988) Am. J. Phys., 56 (1), pp. 22-26
- Gray, A., (1997) Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd Ed., , CRC Press, Boca Raton, FL
- Weisstein, E.W., (1999) World of Mathematics 1999, , http://mathworld.wolfram.com/topics/InvolutesandEvolutes.html, (CRC Press, Boca Raton) and Wolfram Research
- McKinley, J.M., Brachistochrones, tautochones, evolutes, and tesselations (1979) Am. J. Phys., 47 (1), pp. 81-86
- Spiegel, M.R., (1967) Theoretical Mechanics, , (Schaum, New York) Chap. 4
- Huygens, C., (1673) Homlogium Oscillatorium, , Paris
- (1986), Translated by R. Blackwell The Pendulum Clock Iowa University Press, Ames, Iowa
Citas:
---------- APA ----------
Gil, S. & Di Gregorio, D.E. (2006) . Perturbation of a classical oscillator: A variation on a theme of Huygens. American Journal of Physics, 74(1), 60-67.http://dx.doi.org/10.1119/1.2110549
---------- CHICAGO ----------
Gil, S., Di Gregorio, D.E. "Perturbation of a classical oscillator: A variation on a theme of Huygens" . American Journal of Physics 74, no. 1 (2006) : 60-67.http://dx.doi.org/10.1119/1.2110549
---------- MLA ----------
Gil, S., Di Gregorio, D.E. "Perturbation of a classical oscillator: A variation on a theme of Huygens" . American Journal of Physics, vol. 74, no. 1, 2006, pp. 60-67.http://dx.doi.org/10.1119/1.2110549
---------- VANCOUVER ----------
Gil, S., Di Gregorio, D.E. Perturbation of a classical oscillator: A variation on a theme of Huygens. Am. J. Phys. 2006;74(1):60-67.http://dx.doi.org/10.1119/1.2110549
