Tutorials on damped and/or forced oscillations
Tutorials on damped and/or forced oscillations
Damped harmonic motion: Motion graphs
Pretest (.pdf)
Tutorial (.pdf)
Homework (.pdf)
Exam questions (.docx)
Instructor notes (.pdf)
All materials (~1MB .zip,
.docx and .pdf)
Tutorial title
Emphasis (what do students do?)
Links to materials
Apply Newton’s laws to account for motion of underdamped oscillators, including the effect of damping on oscillation frequency
Connect mathematical and physical descriptions of underdamped oscillators
Damped harmonic motion: Energy loss and the quality factor
Contact information for co-PIs
Bradley S. Ambrose
Department of Physics
118 Padnos Hall
Grand Valley State University
Allendale, MI 49401
Tel.: 616-331-2524
FAX: 616-331-3740
Email: ambroseb@gvsu.edu
Michael C. Wittmann
Department of Physics and Astronomy
5709 Bennett Hall
University of Maine
Orono, ME 04401-5709
Tel.: 207-581-1237
FAX: 207-581-3410
Email: wittmann@umit.maine.edu
Perform guided derivation of quality factor, expressed in terms of damping constant
and frequency
Connect motion graphs to mathematical descriptions of underdamped oscillators
Creative Commons License
Graphical interpretation of differential equations
Analyze qualitatively the differential equations that govern motion of simple harmonic and damped oscillators
Graphical analysis of solutions, focusing on: axis crossings (x = 0), turning points (v = 0), and inflection points (a = 0)
Pretest (.pdf)
Tutorial (.pdf)
Homework (.pdf)
Exam questions (.docx)
Instructor notes (.pdf)
All materials (~1MB .zip,
.docx and .pdf)
Forced harmonic motion
Apply work and energy concepts to understand meanings of steady-state motion and resonance
Explore effect of the phase difference between driving force and position on work delivered by driver
Pretest (.pdf)
Tutorial (.pdf)
Homework (.pdf)
Exam questions (.docx)
Instructor notes (.pdf)
All materials (~1.3MB .zip,
.docx and .pdf)
Sponsored in part by NSF grants DUE-0441426 and DUE-0442388
Intermediate Mechanics Tutorials are modeled after:
•Tutorials in Introductory Physics, L.C. McDermott P.S. Shaffer, and the Physics Education Group at the University of Washington (Prentice Hall, 2002)
•Activity-Based Tutorials, M.C. Wittmann, R.N. Steinberg, E.F. Redish, and the University of Maryland Physics Education Research Group (Wiley, 2004 and 2005)