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