A heavy rope 3 m long is attached to the ceiling and is allowed to hang freely.
Question:
A heavy rope 3 m long is attached to the ceiling and is allowed to hang freely.
(a) Show that the speed of transverse waves on the rope is independent of its mass and length but does depend on the distance y from the bottom according to the formula v = gy.
(b) If the bottom end of the rope is given a sudden sideways displacement, how long does it take the resulting wave pulse to go to the ceiling, reflect, and return to the bottom of the rope?
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a The speed is given by v F At a distance y from the b...View the full answer
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