PHY280F Lectures
Lecture 1 (Oct.21)
- Introduction
- Simple Harmonic Motion (SHM)
Lectures 2 - 4 (Oct.23 - 30)
- The rotating vector representation. Complex numbers. The complex exponential.
- Use of complex exponential in solving the harmonic oscillator equation.
- Superposition of vibrations: of equal or different frequency; in the same direction or at right angles.
- Beats; Lissajous figures.
Lectures 5 - 8 (Oct.31 - Nov.7)
- Free vibrations of physical systems.
- Damped SHM.
- Forced oscillations. Comments (Lect.6)
- Power absorbed by a driven oscillator. Resonance. Examples
Java applet used in class: http://home.a-city.de/walter.fendt/phe/resonance.htm
- Coupled oscillators, normal modes.
Java applet used in class: http://home.a-city.de/walter.fendt/phe/cpendula.htm
- Linear algebra methods used in the study of coupled oscillators
The example used in class (three pendulums, two springs) is attached to lecture notes
Additional notes: Analysis of normal modes by using linear algebra. Eigenvectors and eigenvalues.
Lecture 12 (Nov 18)
- Mass-spring transmission line, general solution.
Lectures 13 - 14 (Nov 20 - 21)
- Energy and momentum. Energy transfer rate.
Physics of Sound (optional reading)
Lecture 15 (Nov. 25)
- Transverse waves on a string
Lecture 16 (Nov. 27)
- Reflection of mechanical waves. Standing waves.
Lecture 17 (Nov. 28)
- Mechanical impedance.
Lectures 18 - 19 - Review (Dec. 2 and Dec. 4)
Examples used in Lectures 15-18
Suggested problems for study from A. P. French Vibrations and Waves:
3-16, 3-19, 4-4, 4-8, 5-5, 5-7, 6-1, 6-2, 7-5, 7-6, 7-7, 7-8