| Título: | Higher accurate approximate solutions for the simple pendulum in terms of elementary functions |
| Autores: |
Beléndez Vázquez, Augusto Francés Monllor, Jorge Ortuño Sánchez, Manuel Gallego Rico, Sergi Bernabeu Pastor, José Guillermo |
| Fecha: |
2010-05-03 2010-05-03 2010-03-01 2010-04-28 |
| Publicador: | RUA Docencia |
| Fuente: |
 |
| Tipo: | info:eu-repo/semantics/article |
| Tema: |
Nonlinear pendulum Period Approximate solution Tension Física Aplicada |
| Descripción: |
A closed-form approximate expression for the solution of a simple pendulum in terms of elementary functions is obtained. To do this, the exact expression for the maximum tension of the string of the pendulum is first considered and a trial approximate solution depending on some parameters is used, which is substituted in the tension equation. We obtain the parameters for the approximate by means of a term-by-term comparison of the power series expansion for the approximate maximum tension with the corresponding series for the exact one. We believe that this letter may be a suitable and fruitful exercise for teaching and better understanding nonlinear oscillations of a simple pendulum in undergraduate courses on classical mechanics. This work was supported by the “Vicerrectorado de Tecnología e Innovación Educativa” of the University of Alicante, Spain (GITE-09006-UA). |
| Idioma: | Inglés |
1 Choosing the correct paradigm for unknown words in rule-based machine translation systems por Sánchez Cartagena, Víctor Manuel,Esplà Gomis, Miquel,Sánchez Martínez, Felipe,Pérez Ortiz, Juan Antonio | 6 Análisis Real de Varias Variables II. Problemas (27-3-2013) por Conde Calero, Juan Manuel |
2 Using external sources of bilingual information for on-the-fly word alignment por Esplà Gomis, Miquel,Sánchez Martínez, Felipe,Forcada Zubizarreta, Mikel L. | 7 Introducción a mirada/s trans/identitarias,Introduction to trans-identitary look(s) por Amaro Quintas, Ángel Manuel |
3 | 8 |
4 | 9 |
5 Los espacios periurbanos en el área ibérica contestana: las novedades y algunas reflexiones históricas por Sala Sellés, Feliciana | 10 Matrimonio igualitario y parentesco: discursos, hegemonías y acontecimiento,Egalitarian marriage and kinship: discourses, hegemony and event por Buzaglo, Analía,Morandi, Mariela,Culla, Mónica |