The discussion revolves around finding the Fourier coefficient Bn for a triangular wave on a finite string of length L = 8, which is fixed at both ends and initially displaced. Participants are exploring the appropriate mathematical representation for the initial displacement function U0(x).
Some guidance has been offered regarding the representation of the triangular wave, with participants questioning the validity of previous suggestions and clarifying the correct form of the displacement function. Multiple interpretations of the displacement function are being explored without a clear consensus.
There is an emphasis on the constraints of the problem, particularly the fixed endpoints of the string and the nature of the initial displacement. Participants are also navigating the limitations of their responses in relation to homework policies.
, I'm not supposed/allowed to give direct answers !First, you need to know what the "small" displacement is. Let's say you lift the center by an amount ##h##, so the center of the string is at ##(\frac L 2,h)##. Now just find the equation of the two straight line segments forming the triangular displacement. Also, I would ignore BvU's answer which is a) discontinuous and b) partially parabolic.nazmus sakib said:
No, it was just a typo. I (of course) meantLCKurtz said:
