It is understood that a pulse is regarded as a wave consisting of a single disturbance that moves through the medium with a constant amplitude. (a) Use the concept of movement of a pulse to deduce that the wave function for a simple harmonic wave on a string reduces to sinusoidal wave y(x, t) = Asin(kx wt+), by allowing an initial phase shift p. (b) Hence, from (a) deduce that the linear wave equation is a²y(x,t) 10² y(x,t) -7/22 Əx² Ət²

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Assignment II
It is understood that a pulse is regarded as a wave consisting of a single
disturbance that moves through the medium with a constant amplitude.
(a) Use the concept of movement of a pulse to deduce that the wave
function for a simple harmonic wave on a string reduces to sinusoidal
wave y(x, t) = Asin(kx‡wt+6), by allowing an initial phase shift p.
(b) Hence, from (a) deduce that the linear wave equation is
a²y(x,t) 1 8² y(x, t).
=
ах2
O
Transcribed Image Text:Assignment II It is understood that a pulse is regarded as a wave consisting of a single disturbance that moves through the medium with a constant amplitude. (a) Use the concept of movement of a pulse to deduce that the wave function for a simple harmonic wave on a string reduces to sinusoidal wave y(x, t) = Asin(kx‡wt+6), by allowing an initial phase shift p. (b) Hence, from (a) deduce that the linear wave equation is a²y(x,t) 1 8² y(x, t). = ах2 O
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