Question

what is the energy stored in a travelling wave...derivation

Answer 1

What type wave do you mean?
Mechanical on rope, sound wave, electromagnetic wave?

Answer 2

a string clamped at both ends ....

Answer 3

This is in contradiction with your initial question:
A string clamped at both ends does not support travelling waves but stationary waves only.

Answer 4

oh yeah sorry my mistake ..i wud rather type the question

Answer 5

A uniform string is clamped at x=0 and x=L and vibrating in fundamental mode.with M as mass per unit length.tension in string is T and amplitude is A.find total energy stored in string???...solve asap please

Answer 6

got something?

Answer 7

Here is how I would do:

- Derive velocity of any bit of string : v(x,t) from displacement y(x,t)
- Choose \(t_o\) such as string is passing through equilibrium position. Then energy is purely kinetic.
- At same time, use v(x,\(t_o\)) to get elementary kinetic energy of bit between x and x+dx, then integrate for x between 0 and L.