Question

What are the assumption we take in our study of sinusoidal waves?
(WavesWav string)

Answer 1

Assumptions take on study waves in a string
* We assume that the displacement of the string is very small
* Slope of the string is everywhere very small compared to one. Equivalently the angle θ between the string and the horizontal is small.(∂y/∂x <<1)
*since θ is very small,we take sin θ=θ=tan θ
*The string mass is fixed. When the string is displaced from equilibrium and is therefore lengthened its mass per unit length must decrease.We are not considering this.
*We ignore any force due to resistance to bending the string since, under our assumption of small slope, it is reasonable to imagine that the bending force is negligible.
*