Consider a string of length 0.4 m which is fixed at both ends. It is initially stationery. The string is plucked, giving rise to an initial small displacement. (a) Obtain the appropriate wave equation that is satisfied by this string. (b) Obtain expressions for the displacement and velocity of the string. (c) Determine the frequencies of the different modes of the vibrating string.
Consider a string of length 0.4 m which is fixed at both ends. It is initially stationery. The string is plucked, giving rise to an initial small displacement. (a) Obtain the appropriate wave equation that is satisfied by this string. (b) Obtain expressions for the displacement and velocity of the string. (c) Determine the frequencies of the different modes of the vibrating string.
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Transcribed Image Text:Consider a string of length 0.4 m which is fixed at both ends. It is
initially stationery. The string is plucked, giving rise to an initial small
displacement.
(a) Obtain the appropriate wave equation that is satisfied by this
string.
(b) Obtain expressions for the displacement and velocity of the
string.
(c) Determine the frequencies of the different modes of the vibrating
string.
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