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So I was reading our lecture notes about generalising the motion of a string by considering it as a system of N masses, and one of the arguments was that no matter where you are on the string, each mass element will oscillate with the same frequency. This makes intuitive sense for an ideal string with no friction, but is there a way to mathematically prove this/ does it only apply to ideal strings, or can it be extended to realistic strings?
Many thanks :)
Many thanks :)