Date: Jul 5, 1996 5:32 AM
Author: Brian P. Davis
Subject: Help: Fourier anlysis (transverse waves)

I've been given a problem, and I'm stumped. My professor has assigned us

the problem of determing the y value of the following equation when the

time, t, is not equal to 0.

y = (A cos(wt) + B sin(wt)) sin (wx/c)

I purposely left off the subscripts for readability. A should be A sub n

B should be B sub n, and the same for y and w.

We know the following information:

frequency = 100Hz

length of string = 50cm

string struck by mallet at 12.5 cm (or length / 4)

time increment is 0.0001s

I've already done the integration and have equations for A sub n

and B sub n.

My biggest problem right now is what to do with x. Is it a constant

value (i.e. length / 4) or do you have to calculate for every possible

value of x? If the latter is the case, how do you come upon a final

answer for y? Or am I just way off base?

Thanks for any help,

Brian