What is the force distribution in a string wave?

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The discussion centers on the force distribution in a string wave, emphasizing that the tangential forces at any point on the rope are oppositely directed and neutralize each other. Despite this cancellation of horizontal components, the rotation between successive points along the string leads to a change in the vertical component of tension. This vertical change is responsible for the up-and-down movement of the string elements while maintaining horizontal equilibrium. The conversation also touches on the mathematical aspects of this force distribution and its implications for oscillation and circular movement around neighboring points. Understanding these dynamics is crucial for analyzing wave behavior in strings.
hokhani
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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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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
 
thanks very much Studiot
 
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?
 

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