The behavior of a wave reflecting at a boundary on the wave machine depends on whether the boundary is free or clamped.
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This demo shows the wave patterns of three different instruments:
a flute, a saxophone, and a trumpet.
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Transverse standing waves with 3 different boundary conditions.
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Standing waves with two free boundaries
The normal modes of a standing wave are all just multiples of the fundamental frequency.
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When two waves overlap, the resulting wave is the sum of the two original waves.
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Destructive Interference