A rope under a tension of 294 n and fixed at both ends


A rope, under a tension of 294 N and fixed at both ends, oscillates in a second-harmonic standing wave pattern. The displacement of the rope is given by

y = (0.16 m) sin[(?x/4.0] sin[13 ?t]. 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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Physics: A rope under a tension of 294 n and fixed at both ends
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