A rope under a tension of 370 n and fixed at both ends


A rope, under a tension of 370 N and fixed at both ends, oscillates in a second-harmonic standing wave pattern. The displacement of the rope is given below where x = 0 at one end of the rope, x is in meters, and t is in seconds.

y=(.04m)(sin(pix/8))sin18pi(t)

(a) What is the length of the rope?

m

(b) What is the speed of the waves on the rope?

m/s

c) What is the mass of the rope?

kg

(d) If the rope oscillates in a third-harmonic standing wave pattern, what will be the period of oscillation?

s

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Physics: A rope under a tension of 370 n and fixed at both ends
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