A rope, under a tension of 150 N and fixed at both ends, oscillates in a second-

Question

A rope, under a tension of 150 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..

A rope, under a tension of 150 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 = (0.08m)( sin (pi x / 4)) sin (18 pi t) What is the length of the rope? What is the speed of the waves on the rope? What is the mass of the rope? If the rope oscillates in a third-harmonic standing wave pattern, what will be the period of oscillation?

Explanation / Answer

a)8 m

b)72 m/s

c)0.23 kg

d)74 ms

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