ch16-p069 - 69. (a) We take the form of the displacement to...

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69. (a) We take the form of the displacement to be y ( x, t ) = y m sin( kx ω t ). The speed of a point on the cord is u ( x, t ) = y / t = – y m cos( kx t ), and its maximum value is u m = y m . The wave speed, on the other hand, is given by v = λ / T = / k . The ratio is 2 . / mm m m uy y ky vk π == = λ (b) The ratio of the speeds depends only on the ratio of the amplitude to the wavelength.
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