Hi all, I've got a question about waves and standing waves on a string fixed at both ends. I understand why only certain discrete wavelengths / frequencies are allowed to generate standing waves on a string such as a guitar string. My question pertains to understand what happens when a guitar string is plucked. At the instant the string is plucked, the instantaneous shape of the string does not resemble any of the standing wave modes, but I understand that the pluck essentially sets the string vibrating with several modes at once... the fundamental and the higher harmonics. I guess I'm trying to visualize the shape of the string when plucked as being the sum of a Fourier series made up by adding up essentially an infinite number of standing wave frequencies. My questions are: 1) Is my description of exciting a number of different standing wave frequencies at once correct? 2) Can frequencies other than the set standing wave frequencies be generated by the initial pluck? Do these other frequencies rapidly die out (which is why they seem to be seldom mentioned at all in descriptions in introductory texts), or are they never excited at all? If they're never excited at all, why is that the case? I guess the main thing I'm struggling with is how a seemingly arbitrary string shape generated by the pluck can be represented just by the standing wave patterns. Cheers, Chris.