Physics
Waves and Oscillations
Train on Waves and Oscillations with 184 published problems. Preview a problem, explore the course outline, and work through one problem at a time.
Practice collection
Practice problems
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Preview a course problem
See a problem from Waves and Oscillations before you begin.
Course topics
Course topics
Free, damped, and driven oscillators
Coupled oscillators and normal modes
Wave equation and boundary conditions
Fourier superposition and wave packets
Dispersion, group velocity, and energy transport
Nonlinear and parametric oscillations
Practice problems
Try a few Waves and Oscillations problems, each with a hint.
- Recovering an oscillator from its ring-down peaks Free with an accountFree, damped, and driven oscillators
- Random kicks leave a non-Gaussian oscillator fingerprint Free with an accountFree, damped, and driven oscillators
- A localized displacement in a three-mass chain Coupled oscillators and normal modes
- A side resonator cuts a notch into a lossless waveguide Coupled oscillators and normal modes
- A closed basin rings in seiche modes Wave equation and boundary conditions
- One dashpot can terminate a string without an echo Wave equation and boundary conditions
- What a sharp rectangular pulse costs in wavenumber space Fourier superposition and wave packets
- Repeated averaging trades sharp edges for spectral rolloff Fourier superposition and wave packets
- Superluminal phase without superluminal transport Dispersion, group velocity, and energy transport
- Duffing response branches and the limits of harmonic balance Nonlinear and parametric oscillations