The Oscillations paradigm explores the dynamics of mechanical and electrical oscillations. We begin by studying the free, undamped motion of a real pendulum in one dimension to learn the principles of periodic motion, both harmonic and anharmonic. Study of the driven oscillator gives insight into the frequency response and resonance, and is the vehicle to introduce Fourier series. Damping is introduced, of course, to model real systems, and Fourier integrals are introduced near the end of the course as a limiting case of Fourier series. The course is centered on three laboratory activities (a physical pendulum, a driven LRC circuit, and a pulsed LRC circuit), supported by lecture/discussion and guided data analysis activities. We use complex numbers throughout the analysis so that students learn this important tool. (more...)

Textbook:

1. Vibrations and Waves in Physics, 3rd Edition written by Iain G. Main. (M)
2. Classical Mechanics written by John R. Taylor. (T)

Sample Syllabus Fall 2011

• All activities for Oscillations
• All small whiteboard questions for Oscillations
  (What are SWBQs?)