Oscillations
Mathematical Anatomy of Simple Harmonic Graph:
- x-axis = time axis
- y-axis = displacement
- Key features:
- Amplitude
- Temporal period
- Temporal frequency
- Angular frequency
Graph of a sinusoidal oscillation. Examples include:
- Mass on spring
- Pendulum (swing)
Damped vs. Forced Oscillation: - Damped Oscillation Examples:
- Swing without moving legs
- Pendulum moving until it stops
- Forced Oscillation Examples:
- Moving legs on swing to keep swinging
- Pushing a person on swing
Waves
Types of physical waves:
- Mechanical waves
- Electromagnetic waves
Propagation in Medium: - Transverse waves (light, surface waves, rope wave, etc.)
- Longitudinal waves (sound waves, seismic waves, etc.)
Mathematical Anatomy of Waves: - Key features:
- Amplitude
- Speed of wave
- Wavelength (spatial period)
- Frequency
- Period
Key Characteristics:
- Amplitude = height of graph; relates to strength, loudness
- Frequency = how scrunched up; relates to pitch