Normal coordinates in a system of coupled oscillators and influence of the masses of the springs
Resumen:
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.
| 2020 | |
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física Enseñanza de la física |
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| Inglés | |
| ANEP. Consejo de Formación en Educación | |
| RIdAA-CFE | |
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https://doi.org/10.1088/1361-6404/abaf61
http://repositorio.cfe.edu.uy/handle/123456789/1732 |
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| Acceso abierto | |
| cc by 4.0 |
| _version_ | 1815416038519472128 |
|---|---|
| author | Suárez, Álvaro |
| author2 | Baccino, Daniel Monteiro, Martín Martí, Arturo C |
| author2_role | author author author |
| author_facet | Suárez, Álvaro Baccino, Daniel Monteiro, Martín Martí, Arturo C |
| author_role | author |
| bitstream.checksum.fl_str_mv | df766076a5772cb4184b94046e67735a 160420ed440324666466d0be0ba634b7 10aa0422f699496610eb6adb219ea419 811fdc2d7ab21ff8d05ebcb0cd47c3a2 |
| bitstream.checksumAlgorithm.fl_str_mv | MD5 MD5 MD5 MD5 |
| bitstream.url.fl_str_mv | http://repositorio.cfe.edu.uy/bitstream/123456789/1732/1/license.txt http://repositorio.cfe.edu.uy/bitstream/123456789/1732/2/Suarez%2c%20A.%2c%20Normal.pdf http://repositorio.cfe.edu.uy/bitstream/123456789/1732/3/Suarez%2c%20A.%2c%20Normal.pdf.txt http://repositorio.cfe.edu.uy/bitstream/123456789/1732/4/Suarez%2c%20A.%2c%20Normal.pdf.jpg |
| collection | RIdAA-CFE |
| dc.creator.filiacion.ES.fl_str_mv | ANEP CFE Instituto de profesores "Artigas" ANEP CFE Instituto de profesores "Artigas" Universidad ORT Uruguay UdelaR Instituto de Física |
| dc.creator.none.fl_str_mv | Suárez, Álvaro Baccino, Daniel Monteiro, Martín Martí, Arturo C |
| dc.date.accessioned.none.fl_str_mv | 2022-03-21T13:30:51Z |
| dc.date.available.none.fl_str_mv | 2022-03-21T13:30:51Z |
| dc.date.issued.none.fl_str_mv | 2020-07-02 |
| dc.date.submitted.none.fl_str_mv | 2022-03-21 |
| dc.description.abstract.none.fl_txt_mv | 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. |
| dc.format.ES.fl_str_mv | pdf |
| dc.format.extent.ES.fl_str_mv | 11 p. |
| dc.identifier.other.none.fl_str_mv | https://doi.org/10.1088/1361-6404/abaf61 |
| dc.identifier.uri.none.fl_str_mv | http://repositorio.cfe.edu.uy/handle/123456789/1732 |
| dc.language.iso.none.fl_str_mv | eng |
| dc.publisher.ES.fl_str_mv | Cornell University |
| dc.relation.ispartof.ES.fl_str_mv | arXiv; e-prints |
| dc.rights.ES.fl_str_mv | openAccess |
| dc.rights.license.none.fl_str_mv | cc by 4.0 |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| 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.ES.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.ES.fl_str_mv | info:eu-repo/semantics/article |
| dc.type.version.ES.fl_str_mv | published |
| dc.type.version.none.fl_str_mv | 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 | CFE_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 | CFE |
| network_name_str | RIdAA-CFE |
| oai_identifier_str | oai:repositorio.cfe.edu.uy:123456789/1732 |
| publishDate | 2020 |
| reponame_str | RIdAA-CFE |
| repository.mail.fl_str_mv | mariavaleriapaulo@gmail.com |
| repository.name.fl_str_mv | RIdAA-CFE - ANEP. Consejo de Formación en Educación |
| repository_id_str | 10159 |
| rights_invalid_str_mv | cc by 4.0 openAccess |
| spelling | cc by 4.0openAccessinfo:eu-repo/semantics/openAccessSuárez, ÁlvaroBaccino, DanielMonteiro, MartínMartí, Arturo CANEP CFE Instituto de profesores "Artigas"ANEP CFE Instituto de profesores "Artigas"Universidad ORT UruguayUdelaR Instituto de Física2022-03-21T13:30:51Z2022-03-21T13:30:51Z2020-07-022022-03-21https://doi.org/10.1088/1361-6404/abaf61http://repositorio.cfe.edu.uy/handle/123456789/1732Experimental 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.pdf11 p.engCornell UniversityarXiv; e-printsfísicaEnseñanza de la físicaNormal coordinates in a system of coupled oscillators and influence of the masses of the springsinfo:eu-repo/semantics/articlepublishedinfo:eu-repo/semantics/publishedVersionreponame:RIdAA-CFEinstname:ANEP. Consejo de Formación en Educacióninstacron:ANEP. 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| 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 |
