P17_017 - 17(a We take the form of the displacement to be...

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17. (a) We take the form of the displacement to be y ( x, t )= y m sin( kx ωt ). The speed of a point on the cord is u ( x, t )= ∂y/∂t = ωy m cos( kx ωt ) and its maximum value is u m = ωy m .Th ew av e speed, on the other hand, is given by v = λ/T = ω/k .Thera t ioi s u m v = ωy m ω/k = ky m =
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