A rope, under a tension of 200 N and fixed at both ends, oscillates in a second-harmonic

Chapter 16, Problem 52

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A rope, under a tension of 200 N and fixed at both ends, oscillates in a second-harmonic standing wave pattern. The displacement of the rope is given by y (0.10 m)(sin px/2) sin 12pt, where x 0 at one end of the rope, x is in meters, and t is in seconds. What are (a) the length of the rope, (b) the speed of the waves on the rope, and (c) the mass of the rope? (d) If the rope oscillates in a third-harmonic standing wave pattern, what will be the period of oscillation?

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