01
Simple Harmonic Motion
x(t) = A cos(ωt + φ)
ω = √(k/m)
The ideal mass-spring oscillator provides a canonical example of periodic motion.
02
Wave Equation
∂²ψ/∂t² = v²∇²ψ
The wave equation describes propagation phenomena across many physical systems, including mechanical and electromagnetic waves.
03
Resonance
Resonance occurs when periodic driving interacts strongly with a system near one of its natural frequencies. Real systems include damping, which limits amplitude growth.