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Question(s) / Instruction(s):

A rope, under a tension of 280 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 = ( 0.34 text( m))(sin((pix)/8))sin(2 pit)

(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?

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