Superposition on longitudinal wave

In summary, when a spring is fixed at both ends and vibrating, reflection will occur. The nodes and antinodes are located at points of minimum and maximum displacement, respectively. This is different from the compression and rarefaction regions, which occur at different points throughout the cycle.
  • #1
Kai
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When a spring is fixed at both ends and it is vibrating back and forth, reflection will occur. So where are the nodes and antinodes? Are they at compression or rarefaction region?
 
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  • #2
Kai said:
When a spring is fixed at both ends and it is vibrating back and forth, reflection will occur. So where are the nodes and antinodes? Are they at compression or rarefaction region?
A node is where there is little or no displacement during a cycle, an antinode where the maximum displacement at that point is the maximum of anywhere. Since the ends are fixed, they will be ... which?
This is sort of opposite to compression and rarefaction. Compression and rarefaction regions can be found at some snapshot of the cycle, but over the course of a cycle they are the same places: maximum compression in one half of the cycle occurs where maximum rarefaction occurs in the other half.
These are maximised where displacement is minimised, and vice versa.
 

FAQ: Superposition on longitudinal wave

1. What is superposition on a longitudinal wave?

Superposition on a longitudinal wave is a phenomenon where two or more waves of the same type travel through a medium and overlap with each other. This results in the combination of the individual waves, creating a new wave with a different amplitude and frequency.

2. How does superposition affect the amplitude of a longitudinal wave?

When two waves superpose, the amplitude of the resulting wave is equal to the sum of the individual wave amplitudes. This means that if two waves with equal amplitudes superpose, the resulting wave will have double the amplitude.

3. Can superposition occur with longitudinal waves in different mediums?

Yes, superposition can occur with longitudinal waves in different mediums, as long as the waves have the same type and frequency. However, the resulting wave may have different properties due to the different properties of the two mediums.

4. How does superposition affect the wavelength of a longitudinal wave?

Superposition does not affect the wavelength of a longitudinal wave. The wavelength of a wave is determined by the source of the wave and the medium through which it travels. However, the resulting wave may have a different wavelength if the two overlapping waves have different wavelengths.

5. What is the principle of superposition in relation to longitudinal waves?

The principle of superposition states that when two or more waves overlap, the resulting wave is the sum of the individual waves. This applies to all types of waves, including longitudinal waves.

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