Intermediate Mechanics Tutorials: Simple Harmonic and Non-Harmonic Oscillations

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written by Michael C. Wittmann and Bradley S. Ambrose
supported by the National Science Foundation

This set of tutorial materials covers the topic of oscillatory motion in one and two dimensions. Students examine qualitatively and quantitatively the motion of simple and non-harmonic oscillators through explorations of equations of motion, trajectories, and phase relations. Separate tutorials cover different examples of oscillatory motion. Materials available include the tutorials, assessments, and notes for the instructor.

This is part of a large collection of similar tutorial materials in intermediate classical mechanics.

https://faculty.gvsu.edu/ambroseb/research/IMT-Osc1SHM%26NHM.html

1 primary supplement is available

5 supplemental documents are available

Subjects	Levels	Resource Types
Classical Mechanics - Applications of Newton's Laws Oscillations & Waves - Oscillations = Lissajous Figures = Non-Linear Systems = Simple Harmonic Motion = Springs and Oscillators	- Upper Undergraduate	- Instructional Material = Activity = Lesson/Lesson Plan - Audio/Visual = Image/Image Set

Intended Users	Formats	Ratings
- Educators - Learners	- application/pdf - application/ms-excel - application/ms-word - text/html	Currently 0.0/5 Want to rate this material? Login here!

Access Rights:: Limited free access; Released under a modified Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License. By using any project materials, you agree to the user license. The user license includes sending Bradley S. Ambrose or Michael C. Wittmann an email notifying them that you are using the materials, re-publishing any modifications you make by sending them via email, and sending any pretest, homework, and post-test data as appropriate. Full details are available here.
License:: This material is released under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 license.
Rights Holder:: Bradley Ambrose and Michael Wittmann
NSF Numbers:: 0441426; 0442388
Keywords:: 2-D oscillators, amplitudes, frequencies, harmonic oscillator, imt, isotropic oscillators, motion graph, non-isotropic oscillators, phase angle, phase difference, trajectories, two dimensions
Record Cloner:: Metadata instance created April 6, 2009 by Bryce Callies
Record Updated:: February 22, 2025 by Lyle Barbato
Last Update when Cataloged:: July 1, 2011
Other Collections:: The PSRC

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<a href="https://www.compadre.org/portal/items/detail.cfm?ID=8793">Wittmann, Michael, and Bradley S. Ambrose. Intermediate Mechanics Tutorials: Simple Harmonic and Non-Harmonic Oscillations. July 1, 2011.</a>

AIP Format

M. Wittmann and B. Ambrose, (2005), WWW Document, (https://faculty.gvsu.edu/ambroseb/research/IMT-Osc1SHM%26NHM.html).

AJP/PRST-PER

M. Wittmann and B. Ambrose, Intermediate Mechanics Tutorials: Simple Harmonic and Non-Harmonic Oscillations (2005), <https://faculty.gvsu.edu/ambroseb/research/IMT-Osc1SHM%26NHM.html>.

APA Format

Wittmann, M., & Ambrose, B. (2011, July 1). Intermediate Mechanics Tutorials: Simple Harmonic and Non-Harmonic Oscillations. Retrieved May 1, 2025, from https://faculty.gvsu.edu/ambroseb/research/IMT-Osc1SHM%26NHM.html

Chicago Format

Wittmann, Michael, and Bradley S. Ambrose. Intermediate Mechanics Tutorials: Simple Harmonic and Non-Harmonic Oscillations. July 1, 2011. https://faculty.gvsu.edu/ambroseb/research/IMT-Osc1SHM%26NHM.html (accessed 1 May 2025).

MLA Format

Wittmann, Michael, and Bradley S. Ambrose. Intermediate Mechanics Tutorials: Simple Harmonic and Non-Harmonic Oscillations. 2005. 1 July 2011. National Science Foundation. 1 May 2025 <https://faculty.gvsu.edu/ambroseb/research/IMT-Osc1SHM%26NHM.html>.

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@misc{ Author = "Michael Wittmann and Bradley S. Ambrose", Title = {Intermediate Mechanics Tutorials: Simple Harmonic and Non-Harmonic Oscillations}, Volume = {2025}, Number = {1 May 2025}, Month = {July 1, 2011}, Year = {2005} }

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%A Michael Wittmann %A Bradley S. Ambrose %T Intermediate Mechanics Tutorials: Simple Harmonic and Non-Harmonic Oscillations %D July 1, 2011 %U https://faculty.gvsu.edu/ambroseb/research/IMT-Osc1SHM%26NHM.html %O application/pdf

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%0 Electronic Source %A Wittmann, Michael %A Ambrose, Bradley S. %D July 1, 2011 %T Intermediate Mechanics Tutorials: Simple Harmonic and Non-Harmonic Oscillations %V 2025 %N 1 May 2025 %8 July 1, 2011 %9 application/pdf %U https://faculty.gvsu.edu/ambroseb/research/IMT-Osc1SHM%26NHM.html

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