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7 Cards in this Set
- Front
- Back
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Standing Wave |
Combination of two harmonic waves of equal λ, frequency and A but moving in opposite directions
D(x,t) = A(x) cos(ωt) where A(x) = 2A sin(kx) |
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Nodes |
- Zero Amplitude - Remain at rest at all times - Occur at 0, ±λ/2, ±λ, ±3λ/2, ±2λ... |
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Antinodes |
- Maximum Amplitude (of 2A) - Occur at ±λ/4, ±3λ/4, ±5λ/4... |
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Normal Modes |
- of vibration of a string of length L, with both ends fixed - λm = 2L/m where m= 1,2,3,4,... - λ1 = 2L, λ2 = L, λ3 = 2L/3
(see next cards for a more detailed explanation) |
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First Harmonic, f1 (Fundamental Frequency) |
- n=1 - nodes = 0 - Lowest frequency, largest λ |
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Second Harmonic, f2 |
- n=2 - nodes = 1 |
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Third Harmonic, f3 |
- n=3 -nodes = 2 |
