Force on the string wave

[hokhani]

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?

 

[Studiot]

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

 

[hokhani]

thanks very much Studiot

 

[Studiot]

There is more (mathematical) detail here.

https://www.physicsforums.com/showthread.php?t=452820&highlight=transverse+wave+string

 

[hokhani]

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?