Underdamped oscillations of a mass between two springs
The oscillations of one mass m suspended between two different springs, assuming a friction force proportional to the velocity ( x ˙ ) , have been studied. For this purpose, an assembly for this system has been made. The movement of the mass is recorded with a smartphone and analysed with Tracker. I...
- Autores:
-
Herrera-Suárez H.J.
Morales-Aranguren H.L.
Muñoz J.H.
Ossa-Novoa J.
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2022
- Institución:
- Universidad de Ibagué
- Repositorio:
- Repositorio Universidad de Ibagué
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.unibague.edu.co:20.500.12313/5514
- Acceso en línea:
- https://hdl.handle.net/20.500.12313/5514
- Palabra clave:
- Oscilaciones no lineales
Movimiento de oscilador subamortiguado
Friction
Newton’s laws
Nonlinear oscillations
Underdamped oscillator motion
- Rights
- closedAccess
- License
- © 2022 IOP Publishing Ltd.
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Underdamped oscillations of a mass between two springs |
| title |
Underdamped oscillations of a mass between two springs |
| spellingShingle |
Underdamped oscillations of a mass between two springs Oscilaciones no lineales Movimiento de oscilador subamortiguado Friction Newton’s laws Nonlinear oscillations Underdamped oscillator motion |
| title_short |
Underdamped oscillations of a mass between two springs |
| title_full |
Underdamped oscillations of a mass between two springs |
| title_fullStr |
Underdamped oscillations of a mass between two springs |
| title_full_unstemmed |
Underdamped oscillations of a mass between two springs |
| title_sort |
Underdamped oscillations of a mass between two springs |
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Herrera-Suárez H.J. Morales-Aranguren H.L. Muñoz J.H. Ossa-Novoa J. |
| dc.contributor.author.none.fl_str_mv |
Herrera-Suárez H.J. Morales-Aranguren H.L. Muñoz J.H. Ossa-Novoa J. |
| dc.subject.armarc.none.fl_str_mv |
Oscilaciones no lineales Movimiento de oscilador subamortiguado |
| topic |
Oscilaciones no lineales Movimiento de oscilador subamortiguado Friction Newton’s laws Nonlinear oscillations Underdamped oscillator motion |
| dc.subject.proposal.eng.fl_str_mv |
Friction Newton’s laws Nonlinear oscillations Underdamped oscillator motion |
| description |
The oscillations of one mass m suspended between two different springs, assuming a friction force proportional to the velocity ( x ˙ ) , have been studied. For this purpose, an assembly for this system has been made. The movement of the mass is recorded with a smartphone and analysed with Tracker. It is obtained that the graph of the position of the mass m in function of the time is similar to that of an underdamped harmonic oscillator. The registered data with Tracker are exported to Excel and fit to a nonlinear model through the expression x ( t ) = A e − λ t sin ( ω t + α ) . The nonlinear equation of motion is numerically solved with the free Octave package. This solution es very sensitive to the mass of the particle and the stretching of the springs. |
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2022 |
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2022-11-01 |
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2025-08-21T21:33:34Z |
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2025-08-21T21:33:34Z |
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Artículo de revista |
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Herrera-Suárez H., Morales-Aranguren, H., Muñoz, J. y Ossa-Novoa, J. (2022). Underdamped oscillations of a mass between two springs. Physics Education, 57(6), 065010. 10.1088/1361-6552/ac8409 |
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10.1088/1361-6552/ac8409 |
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00319120 |
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https://hdl.handle.net/20.500.12313/5514 |
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Herrera-Suárez H., Morales-Aranguren, H., Muñoz, J. y Ossa-Novoa, J. (2022). Underdamped oscillations of a mass between two springs. Physics Education, 57(6), 065010. 10.1088/1361-6552/ac8409 10.1088/1361-6552/ac8409 00319120 |
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https://hdl.handle.net/20.500.12313/5514 |
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eng |
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eng |
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6 |
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065010 |
| dc.relation.citationvolume.none.fl_str_mv |
57 |
| dc.relation.ispartofjournal.none.fl_str_mv |
Physics Education |
| dc.relation.references.none.fl_str_mv |
Goldstein H Poole C P Safko J L 2013 Classical Mechanics 3rd edn Harlow Pearson New International Edition De Lange O L Pierrus J 2010 Solved Problems in Classical Mechanics: Analytical and Numerical Solutions With Comments 1st edn New York Oxford University Press Alonso M Finn E J 1986 FÍsica Vol. I, MecÁnica Wilmington, NC Addison Wesley Iberoamericana Chaudhuri R N 2001 Waves and Oscillations 2nd edn New Delhi New Age Int. Thornton S T Marion J B 2006 Classical Dynamics of Particles and Systems 5th edn Mexico Thomson Brooks/cole Serway R A Jewett J W 2018 Physics for Scientists and Engineers 10th edn Mexico Cengage Learning Sistemas oscilantes intrínsecamente no lineales Amezquita A. , Delgado M. , Rasero Causil D. Revista Brasileira De Ensino De FisicaOpen source preview, 2021 DOI: 10.1590/1806-9126-rbef-2021-0110 Modelling of oscillators: general framework and simulation projects Schott D. Global Journal of Engineering EducationOpen source preview, 2010 An investigation of friction dynamics of mass spring system with base excitation Younes Y.K. , Fawzy A. , Ibrahim I.M. , El-Butch A.M.A. DOI: 10.1115/IMECE2005-80275 Theory and examples of intrinsically nonlinear oscillators Mohazzabi P. American Journal of PhysicsOpen source preview, 2004 DOI: 10.1119/1.1624114 A simple nonlinear oscillator: analytical and numerical solution Detcheva V. , Spassov V. Physics EducationOpen source preview, 1993 DOI: 10.1088/0031-9120/28/1/007 Anharmonic vibrations of an “ideal” Hooke’s law oscillator Thomchick J. , Mckelvey J.P. American Journal of PhysicsOpen source preview, 1978 DOI: 10.1119/1.11180 TU Graz Graz University of Technology 2022 A mass on a frictionless table connected to two springs (available at: http://lampx.tugraz.at/hadley/physikm/script/oscillations/2springs.en.php García F A 2016 Oscilador no lineal (available at: www.sc.ehu.es/sbweb/fisica3/oscilaciones/dosMuelles/dosMuelles.html Brown D Tracker: Copyright (c) 2020 (available at: http://physlets.org/tracker GNU Octave 2022 (available at: www.gnu.org/software/octave/index Analytical Balance Precisa ES 120A with self calibration system, scales and measuring instruments (available at: https://scales-measuring.com/en/analytical-balances/2060-analytical-balance-precisa-es-120a.html |
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© 2022 IOP Publishing Ltd. |
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https://creativecommons.org/licenses/by-nc/4.0/ |
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Reino Unido |
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Herrera-Suárez H.J.0bd3e1a1-fb38-4e11-b546-edb3cf2a3666-1Morales-Aranguren H.L.5036f1db-d2ab-4983-a3a6-afca676de1b7-1Muñoz J.H.8ac4592b-a2c7-4338-bc5c-a89efd80ea16-1Ossa-Novoa J.08c2e3be-ef79-4163-a6fb-761b0963699b-12025-08-21T21:33:34Z2025-08-21T21:33:34Z2022-11-01The oscillations of one mass m suspended between two different springs, assuming a friction force proportional to the velocity ( x ˙ ) , have been studied. For this purpose, an assembly for this system has been made. The movement of the mass is recorded with a smartphone and analysed with Tracker. It is obtained that the graph of the position of the mass m in function of the time is similar to that of an underdamped harmonic oscillator. The registered data with Tracker are exported to Excel and fit to a nonlinear model through the expression x ( t ) = A e − λ t sin ( ω t + α ) . The nonlinear equation of motion is numerically solved with the free Octave package. This solution es very sensitive to the mass of the particle and the stretching of the springs.application/pdfHerrera-Suárez H., Morales-Aranguren, H., Muñoz, J. y Ossa-Novoa, J. (2022). Underdamped oscillations of a mass between two springs. Physics Education, 57(6), 065010. 10.1088/1361-6552/ac840910.1088/1361-6552/ac840900319120https://hdl.handle.net/20.500.12313/5514engInstitute of PhysicsReino Unido606501057Physics EducationGoldstein H Poole C P Safko J L 2013 Classical Mechanics 3rd edn Harlow Pearson New International EditionDe Lange O L Pierrus J 2010 Solved Problems in Classical Mechanics: Analytical and Numerical Solutions With Comments 1st edn New York Oxford University PressAlonso M Finn E J 1986 FÍsica Vol. I, MecÁnica Wilmington, NC Addison Wesley IberoamericanaChaudhuri R N 2001 Waves and Oscillations 2nd edn New Delhi New Age Int.Thornton S T Marion J B 2006 Classical Dynamics of Particles and Systems 5th edn Mexico Thomson Brooks/coleSerway R A Jewett J W 2018 Physics for Scientists and Engineers 10th edn Mexico Cengage LearningSistemas oscilantes intrínsecamente no lineales Amezquita A. , Delgado M. , Rasero Causil D. Revista Brasileira De Ensino De FisicaOpen source preview, 2021 DOI: 10.1590/1806-9126-rbef-2021-0110Modelling of oscillators: general framework and simulation projects Schott D. Global Journal of Engineering EducationOpen source preview, 2010An investigation of friction dynamics of mass spring system with base excitation Younes Y.K. , Fawzy A. , Ibrahim I.M. , El-Butch A.M.A. DOI: 10.1115/IMECE2005-80275Theory and examples of intrinsically nonlinear oscillators Mohazzabi P. American Journal of PhysicsOpen source preview, 2004 DOI: 10.1119/1.1624114A simple nonlinear oscillator: analytical and numerical solution Detcheva V. , Spassov V. Physics EducationOpen source preview, 1993 DOI: 10.1088/0031-9120/28/1/007Anharmonic vibrations of an “ideal” Hooke’s law oscillator Thomchick J. , Mckelvey J.P. American Journal of PhysicsOpen source preview, 1978 DOI: 10.1119/1.11180TU Graz Graz University of Technology 2022 A mass on a frictionless table connected to two springs (available at: http://lampx.tugraz.at/hadley/physikm/script/oscillations/2springs.en.phpGarcía F A 2016 Oscilador no lineal (available at: www.sc.ehu.es/sbweb/fisica3/oscilaciones/dosMuelles/dosMuelles.htmlBrown D Tracker: Copyright (c) 2020 (available at: http://physlets.org/trackerGNU Octave 2022 (available at: www.gnu.org/software/octave/indexAnalytical Balance Precisa ES 120A with self calibration system, scales and measuring instruments (available at: https://scales-measuring.com/en/analytical-balances/2060-analytical-balance-precisa-es-120a.html© 2022 IOP Publishing Ltd.info:eu-repo/semantics/closedAccesshttp://purl.org/coar/access_right/c_14cbAtribución-NoComercial 4.0 Internacional (CC BY-NC 4.0)https://creativecommons.org/licenses/by-nc/4.0/https://iopscience.iop.org/article/10.1088/1361-6552/ac8409Oscilaciones no linealesMovimiento de oscilador subamortiguadoFrictionNewton’s lawsNonlinear oscillationsUnderdamped oscillator motionUnderdamped oscillations of a mass between two springsArtículo de revistahttp://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Textinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionPublicationLICENSElicense.txtlicense.txttext/plain; charset=utf-8134https://repositorio.unibague.edu.co/bitstreams/caf11411-6f0c-47d4-adb5-3dfdf79cb62d/download2fa3e590786b9c0f3ceba1b9656b7ac3MD52TEXTArtículo.pdf.txtArtículo.pdf.txtExtracted texttext/plain3585https://repositorio.unibague.edu.co/bitstreams/97888f91-ac8f-4235-9fd7-28e7e8a70ff8/download8219ee1dce24f6acacab5cace4426a2fMD53THUMBNAILArtículo.pdf.jpgArtículo.pdf.jpgIM Thumbnailimage/jpeg15508https://repositorio.unibague.edu.co/bitstreams/9c4c3ee4-d23b-42b4-9ab1-79ddbc2e4eae/downloadd64cfbaebcdc78c80d6a276f7ad7c6b5MD54ORIGINALArtículo.pdfArtículo.pdfapplication/pdf99189https://repositorio.unibague.edu.co/bitstreams/45eba205-d9a8-4010-8755-d191439e045d/downloada72ad532697a59567c3e1ef31e535c1fMD5120.500.12313/5514oai:repositorio.unibague.edu.co:20.500.12313/55142025-08-22 03:03:03.656https://creativecommons.org/licenses/by-nc/4.0/© 2022 IOP Publishing Ltd.https://repositorio.unibague.edu.coRepositorio Institucional Universidad de Ibaguébdigital@metabiblioteca.comQ3JlYXRpdmUgQ29tbW9ucyBBdHRyaWJ1dGlvbi1Ob25Db21tZXJjaWFsLU5vRGVyaXZhdGl2ZXMgNC4wIEludGVybmF0aW9uYWwgTGljZW5zZQ0KaHR0cHM6Ly9jcmVhdGl2ZWNvbW1vbnMub3JnL2xpY2Vuc2VzL2J5LW5jLW5kLzQuMC8= |