What is the force distribution in a string wave?

In summary, the conversation discusses the force at any point of a rope in the wave position being tangential, with two opposing forces canceling each other out. However, due to the rotation caused by the wave, there is a change in the vertical component of the force, which causes the string to move up and down while maintaining horizontal equilibrium. Further mathematical details are available for a deeper understanding. Additionally, the conversation also touches on the fact that the tension on the string is different on either side of a typical point, with the y component responsible for oscillation and the x component for circular movement around the neighboring point.
  • #1
hokhani
483
8
we know that the force at any point of the rope(in the wave position) is tangential.
however at a typical point we have two tangential force oppositely directed.
so they must neutralize each other.
how the force exists in the rope?
 
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  • #2
The wave causes a rotation between successive points along the string.

So although the horizontal components of the tension cancel, the direction change from the rotation causes a change in the vertical component. It is this change which is the force which moves the elements of the string up and down, whilst maintaining horizontal equilibrium.

Hope this helps
 
  • #3
thanks very much Studiot
 
  • #5
in this case you mean that tention of string in one side of a typical point, is more than another side and
difference between forces has 2 component so that the y component is for oscillation
and the x component is for circular movement aboat the neighboring point!
could you guide me whether it is true or not?
 

1. What is force on the string wave?

Force on the string wave is the amount of energy or strength exerted on a string as it vibrates. It is a result of the tension in the string and the movement of the particles in the string as a wave travels through it.

2. How is force on the string wave calculated?

Force on the string wave is calculated using the formula F = μω^2A, where F is the force, μ is the linear density of the string, ω is the angular frequency of the wave, and A is the amplitude of the wave.

3. What factors affect the force on the string wave?

The force on the string wave is affected by the tension in the string, the frequency and amplitude of the wave, and the linear density of the string. Changes in any of these factors can alter the force on the string wave.

4. How does force on the string wave impact the speed of the wave?

Force on the string wave does not directly impact the speed of the wave. However, the tension in the string, which is affected by the force, does impact the speed of the wave. A higher tension will result in a faster wave speed.

5. Can force on the string wave be measured?

Yes, force on the string wave can be measured using a force sensor or by using the formula F = μω^2A. However, it is important to note that the force on the string wave will change as the wave travels and interacts with other objects, so it may be difficult to obtain a precise measurement.

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