The equation of a transverse wave traveling along a string is y = 0.15 sin (0.79 x

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The equation of a transverse wave traveling along a string is y = 0.15 sin (0.79 x – 13t) in which x and y are in meters and r is in seconds.

(a) What is the displacement y at x = 2.3 m, t = 0.16 s? A second wave is to be added to the first wave to produce standing waves on the string. If the wave equation for the second wave is of the form y(x, t) = ym sin (kx + wt), what are

(b) ym,

(c) k,

(d) a, and

(e) The correct choice of sign in front of w for this second wave?

(f) What is the displacement of the resultant standing wave at x = 2.3m, t = 0.16 s?

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Fundamentals of Physics

ISBN: 978-0471758013

8th Extended edition

Authors: Jearl Walker, Halliday Resnick

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