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 journal
- Fecha de publicación:
- 2022
- Institución:
- Universidad de Ibagué
- Repositorio:
- Repositorio Universidad de Ibagué
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.unibague.edu.co:20.500.12313/3831
- Acceso en línea:
- https://hdl.handle.net/20.500.12313/3831
- Palabra clave:
- Friction
Newton’s laws
Nonlinear oscillations
Underdamped oscillator motion
- Rights
- openAccess
- License
- http://purl.org/coar/access_right/c_abf2
| Summary: | 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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