show that all harmonics are present in the vibration of stretched string fixed at both ends
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Explanation:
Consider a string of linear density m stretched between two rigid supports a distance L apart. Let T be the temsion in the string
Stationary waves set up on the string are suhjected to two boundary conditions the displacement y=0 at x=0 and at x=L all times. That is. there must be a node at each fixed end. These two boundary conditions limit the possible modes of vibration to a discrete set of frequencies such that there are an integral number q of loops between the two fixed ends
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