- #1

Aerimiel

- 1

- 0

- Homework Statement
- Hello everyone!

Would you be so kind as to give me an advise for the following problem:

Find the total energy of a vibration of the string oscillating with nth normal mode with amplitude A. The tension in the string is T and its total mass is M.

- Relevant Equations
- ψ(x,t) =∑Asin(kx)sin(ωt)

Steps that I've taken:

Thank you very much for your attention!

- First, compute the derivative of the psi-function with respect to time and then take the square of the result
- Second, input the result into the KE integration formula.
- All that is left is to find the integrand, however this is where calculations became really "messy". It seems that I have to find the time
*t*at which the PE is zero. However, I keep on getting the wrong result.

Thank you very much for your attention!