How Do You Find the Position of Antinodes on a String with Fixed Ends?

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In summary, the conversation discusses waves traveling along a string with a wavelength of 2.4 m and what happens when they reach the fixed end of the string. The speaker is unsure of how to determine the distance of the first two antinodes from the end and asks for clarification. It is mentioned that there is a node at the end, and the question is raised if there is a specific length for the string that could affect the location of the antinodes.
  • #1
MasterPnut
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1. Waves traveling along a string have a wavelength of 2.4 m. When the waves reach the fixed end of the string, they are reflected. How far from the end are the first two antinodes?


2. Not sure what to use



3. I have no really a clue on what to do, if some one could explain it to me, that would be really helpful.
 
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  • #2
What happens at the fixed end of the string? Do you get a node or antinode there?
 
  • #3
Isn't there any specific length for the string given in your textbook?
 
  • #4
Would that make a difference?
 
  • #5
You get a node at the end.
 
  • #6
So if there is a node at the end and the wavelength is 2.4m where will the anti nodes be?
 

Related to How Do You Find the Position of Antinodes on a String with Fixed Ends?

What is a wave antinode?

A wave antinode is a point in a standing wave system where the amplitude of the wave is at its maximum. This means that the particles in the system experience the maximum displacement from their equilibrium position.

How is the position of a wave antinode determined?

The position of a wave antinode is determined by the wavelength of the wave and the distance between the source of the wave and the reflecting boundary. Specifically, the distance from the source to the antinode is equal to half the wavelength.

What is the relationship between wave antinodes and nodes?

In a standing wave system, there are both antinodes and nodes. The nodes are points where the amplitude of the wave is zero, while the antinodes are points where the amplitude is at its maximum. The distance between adjacent antinodes is equal to half the wavelength, and the distance between adjacent nodes is equal to one full wavelength.

Can wave antinodes be observed in real life?

Yes, wave antinodes can be observed in real life in various systems such as musical instruments, sound waves in a room, and water waves in a tank. In these systems, the standing waves that are formed have distinct antinode points where the amplitude is at its maximum.

What are some practical applications of understanding wave antinodes?

Understanding wave antinodes is important in various fields such as acoustics, optics, and seismology. It can also be applied in engineering and design, for example in optimizing the acoustics of a concert hall or designing a musical instrument. Understanding wave antinodes can also help in predicting and understanding natural phenomena such as earthquakes and tsunamis.

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