L25 Superposition of Waves 疊加原理  


🔑 Superposition: Dtotal(r,t) = Σ Di(r,t)

Superposition of 2 Waves on a String If there are 2 waves...
D1(x,t) = A1 cos(k1x - ω1 t)
D2(x,t) = A2 cos(k2x - ω2 t)
... we have wave interference

Standing Waves & Resonance youtube Video

Tacoma Narrows Bridge Collapse

🔑 Superposition: Special Cases

Assume A2=A1
k2 = k1, ω2 = - ω1
→ Standing Waves
k2 = k1, ω2 = + ω1
→ Interference
k2 ~ k1, ω2 ~ + ω1
→ Beats

Lecture View Graphs Reference: Knight Ch 17


Normal Modes
Normal Modes
(Standing Waves)
Sound
Sound Waves
Interference

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C G White (白愛恩), J D White (白小明)
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