Question: A uniform rope of mass m and length L hangs from a ceiling. (a) Show that the speed of a transverse wave on the rope

A uniform rope of mass m and length L hangs from a ceiling.
(a) Show that the speed of a transverse wave on the rope is a function of y, the distance from the lower end, and is given by v = √gy.
(b) Show that the time a transverse wave takes to travel the length of the rope is given by t = 2√L/g.

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