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 [minuscule], 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...

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Bibliographic Details
Published inPhysics education Vol. 57; no. 6; pp. 65010 - 65016
Main Authors Herrera-Suárez, H J, Morales-Aranguren, H L, Muñoz, J H, Ossa-Novoa, J
Format Journal Article
LanguageEnglish
Published Brecon IOP Publishing 01.11.2022
Subjects
College Science
Educational Technology
Energy
Equations of motion
friction
Handheld Devices
Harmonic oscillators
Mechanics (Physics)
Motion
Newton’s laws
Nonlinear equations
nonlinear oscillations
Oscillations
Science Experiments
Science Instruction
Scientific Concepts
Spreadsheets
Telecommunications
underdamped oscillator motion
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Summary:The oscillations of one mass "m" suspended between two different springs, assuming a friction force proportional to the velocity [minuscule], 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)= Ae[superscript -lambda t] sin(wt + [alpha]) . 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.
Bibliography:PED-103166.R3
ISSN:0031-9120
1361-6552
DOI:10.1088/1361-6552/ac8409