Normal coordinates in a system of coupled oscillators and influence of the masses of the springs
Experimental analysis of the motion in a system of two coupled oscillators with arbitrary initial conditions was performed and the normal coordinates were obtained directly. The system consisted of two gliders moving on an air track, joined together by a spring and joined by two other springs to the...
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| Other Authors: | , , |
| Format: | article |
| Language: | English |
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2020
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| Online Access: | https://doi.org/10.1088/1361-6404/abaf61 http://repositorio.cfe.edu.uy/handle/123456789/1732 |
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| _version_ | 1868890222976040960 |
|---|---|
| author | Suárez, Álvaro |
| author2 | Baccino, Daniel Monteiro, Martín Martí, Arturo C |
| author2_role | author author author |
| author_browse | Baccino, Daniel Martí, Arturo C Monteiro, Martín Suárez, Álvaro |
| author_facet | Suárez, Álvaro Baccino, Daniel Monteiro, Martín Martí, Arturo C |
| author_role | author |
| collection | RIdAA-CFE |
| dc.creator.none.fl_str_mv | Suárez, Álvaro Baccino, Daniel Monteiro, Martín Martí, Arturo C |
| dc.date.none.fl_str_mv | 2020-07-02 2022-03-21T13:30:51Z 2022-03-21T13:30:51Z 2022-03-21 |
| dc.format.none.fl_str_mv | pdf 11 p. |
| dc.identifier.none.fl_str_mv | https://doi.org/10.1088/1361-6404/abaf61 http://repositorio.cfe.edu.uy/handle/123456789/1732 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Cornell University |
| dc.relation.none.fl_str_mv | arXiv; e-prints |
| dc.rights.none.fl_str_mv | openAccess info:eu-repo/semantics/openAccess cc by 4.0 |
| dc.source.none.fl_str_mv | reponame:RIdAA-CFE instname:ANEP. Consejo de Formación en Educación instacron:ANEP. Consejo de Formación en Educación |
| dc.subject.none.fl_str_mv | física Enseñanza de la física |
| dc.title.none.fl_str_mv | Normal coordinates in a system of coupled oscillators and influence of the masses of the springs |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/article published info:eu-repo/semantics/publishedVersion |
| description | Experimental analysis of the motion in a system of two coupled oscillators with arbitrary initial conditions was performed and the normal coordinates were obtained directly. The system consisted of two gliders moving on an air track, joined together by a spring and joined by two other springs to the fixed ends. From the positions of the center of mass and the relative distance, acquired by analysis of the digital video of the experiment, normal coordinates were obtained, and by a non linear fit the normal frequencies were also obtained. It is shown that although the masses of the springs are relatively small compared to that of the gliders, it is necessary to take them into consideration to improve the agreement with the experimental results. This experimental-theoretical proposal is targeted to an undergraduate laboratory. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | anni_ea424e944ea80d9671b9a0b9be2056d2 |
| instacron_str | ANEP. Consejo de Formación en Educación |
| institution | ANEP. Consejo de Formación en Educación |
| instname_str | ANEP. Consejo de Formación en Educación |
| language | eng |
| network_acronym_str | anni |
| network_name_str | oai-lr-anni |
| oai_identifier_str | oai:repositorio.cfe.edu.uy:123456789/1732 |
| publishDate | 2020 |
| publishDateSort | 2020 |
| publisher.none.fl_str_mv | Cornell University |
| reponame_str | RIdAA-CFE |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | openAccess cc by 4.0 |
| spelling | Normal coordinates in a system of coupled oscillators and influence of the masses of the springsSuárez, ÁlvaroBaccino, DanielMonteiro, MartínMartí, Arturo CfísicaEnseñanza de la físicaExperimental analysis of the motion in a system of two coupled oscillators with arbitrary initial conditions was performed and the normal coordinates were obtained directly. The system consisted of two gliders moving on an air track, joined together by a spring and joined by two other springs to the fixed ends. From the positions of the center of mass and the relative distance, acquired by analysis of the digital video of the experiment, normal coordinates were obtained, and by a non linear fit the normal frequencies were also obtained. It is shown that although the masses of the springs are relatively small compared to that of the gliders, it is necessary to take them into consideration to improve the agreement with the experimental results. This experimental-theoretical proposal is targeted to an undergraduate laboratory.Cornell University2022-03-21T13:30:51Z2022-03-21T13:30:51Z2020-07-022022-03-21info:eu-repo/semantics/articlepublishedinfo:eu-repo/semantics/publishedVersionpdf11 p.https://doi.org/10.1088/1361-6404/abaf61http://repositorio.cfe.edu.uy/handle/123456789/1732reponame:RIdAA-CFEinstname:ANEP. Consejo de Formación en Educacióninstacron:ANEP. Consejo de Formación en EducaciónengarXiv; e-printsopenAccessinfo:eu-repo/semantics/openAccesscc by 4.0oai:repositorio.cfe.edu.uy:123456789/17322026-06-16T06:05:17Z |
| spellingShingle | Normal coordinates in a system of coupled oscillators and influence of the masses of the springs Suárez, Álvaro física Enseñanza de la física |
| status_str | publishedVersion |
| title | Normal coordinates in a system of coupled oscillators and influence of the masses of the springs |
| title_full | Normal coordinates in a system of coupled oscillators and influence of the masses of the springs |
| title_fullStr | Normal coordinates in a system of coupled oscillators and influence of the masses of the springs |
| title_full_unstemmed | Normal coordinates in a system of coupled oscillators and influence of the masses of the springs |
| title_short | Normal coordinates in a system of coupled oscillators and influence of the masses of the springs |
| title_sort | Normal coordinates in a system of coupled oscillators and influence of the masses of the springs |
| topic | física Enseñanza de la física |
| url | https://doi.org/10.1088/1361-6404/abaf61 http://repositorio.cfe.edu.uy/handle/123456789/1732 |