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 | |
| ANII: FSED_3_ 2019_1_157320 | |
|
Video analysis Coupled oscillators Normal coordinates Physics education |
|
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/31803 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522790542147584 |
|---|---|
| author | Suárez, Álvaro |
| author2 | Baccino, Daniel Monteiro, Martín Martí, Arturo |
| author2_role | author author author |
| author_facet | Suárez, Álvaro Baccino, Daniel Monteiro, Martín Martí, Arturo |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Suárez Álvaro, ANEP-IPA (Uruguay) Baccino Daniel, ANEP-IPA (Uruguay) Monteiro Martín, Universidad ORT (Uruguay) Martí Arturo, Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física. |
| dc.creator.none.fl_str_mv | Suárez, Álvaro Baccino, Daniel Monteiro, Martín Martí, Arturo |
| dc.date.accessioned.none.fl_str_mv | 2022-06-02T12:59:19Z |
| dc.date.available.none.fl_str_mv | 2022-06-02T12:59:19Z |
| dc.date.issued.none.fl_str_mv | 2020 |
| 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.description.es.fl_txt_mv | Versión permitida: preprint |
| dc.description.sponsorship.none.fl_txt_mv | ANII: FSED_3_ 2019_1_157320 |
| dc.format.extent.es.fl_str_mv | 11 h. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Suárez, Á, Baccino, D, Monteiro, M, [y otro "Normal coordinates in a system of coupled oscillators and influence of the masses of the springs" [Preprint]. Publicado en: European Journal of Physics, 2020, 42(1): 015003. DOI: 10.1088/1361-6404/abaf61 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/31803 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.es.fl_str_mv | Video analysis Coupled oscillators Normal coordinates Physics education |
| 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 | Preprint |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/preprint |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/submittedVersion |
| description | Versión permitida: preprint |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_91bfc4364b4ae078a7b0ec46fb0fca77 |
| identifier_str_mv | Suárez, Á, Baccino, D, Monteiro, M, [y otro "Normal coordinates in a system of coupled oscillators and influence of the masses of the springs" [Preprint]. Publicado en: European Journal of Physics, 2020, 42(1): 015003. DOI: 10.1088/1361-6404/abaf61 |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/31803 |
| publishDate | 2020 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | Suárez Álvaro, ANEP-IPA (Uruguay)Baccino Daniel, ANEP-IPA (Uruguay)Monteiro Martín, Universidad ORT (Uruguay)Martí Arturo, Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física.2022-06-02T12:59:19Z2022-06-02T12:59:19Z2020Suárez, Á, Baccino, D, Monteiro, M, [y otro "Normal coordinates in a system of coupled oscillators and influence of the masses of the springs" [Preprint]. Publicado en: European Journal of Physics, 2020, 42(1): 015003. DOI: 10.1088/1361-6404/abaf61https://hdl.handle.net/20.500.12008/31803Versión permitida: preprintExperimental 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.Submitted by Faget Cecilia (lfaget@fcien.edu.uy) on 2022-06-02T12:14:39Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 10.10881361-6404abaf61.pdf: 709848 bytes, checksum: 160420ed440324666466d0be0ba634b7 (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2022-06-02T12:16:07Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 10.10881361-6404abaf61.pdf: 709848 bytes, checksum: 160420ed440324666466d0be0ba634b7 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2022-06-02T12:59:19Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 10.10881361-6404abaf61.pdf: 709848 bytes, checksum: 160420ed440324666466d0be0ba634b7 (MD5) Previous issue date: 2020ANII: FSED_3_ 2019_1_15732011 h.application/pdfenengLas obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)Video analysisCoupled oscillatorsNormal coordinatesPhysics educationNormal coordinates in a system of coupled oscillators and influence of the masses of the springsPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaSuárez, ÁlvaroBaccino, DanielMonteiro, MartínMartí, ArturoLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/31803/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/31803/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; 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- Universidad de la Repúblicafalse |
| spellingShingle | Normal coordinates in a system of coupled oscillators and influence of the masses of the springs Suárez, Álvaro Video analysis Coupled oscillators Normal coordinates Physics education |
| status_str | submittedVersion |
| 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 | Video analysis Coupled oscillators Normal coordinates Physics education |
| url | https://hdl.handle.net/20.500.12008/31803 |
