M1 · Oscillations & normal modes
A 24-module path through m1 · oscillations & normal modes, in study order from foundations to the frontier.
Modules
- Simple Harmonic Motion
- Amplitude, Phase, and Angular Frequency
- Energy in Simple Harmonic Motion
- Small Oscillations About Equilibrium
- The Simple Pendulum
- The Physical Pendulum
- Anharmonic Pendulum and Amplitude Dependence
- Complex Exponential Representation of Oscillations
- Damped Harmonic Oscillator
- Underdamped, Critically Damped, and Overdamped Regimes
- Driven Oscillations
- Resonance
- Transient and Steady-State Response
- Quality Factor
- Resonance Curve and Bandwidth
- Power Absorption and Phase Lag in Driven Systems
- Coupled Oscillators
- Normal Modes
- Normal Coordinates
- Eigenvalue Problem for Normal Modes
- Beats
- Energy Transfer Between Coupled Oscillators
- Normal Modes of Continuous and Many-Body Systems
- The Isotropic 3-D Harmonic Oscillator