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A uniform rope of mass m and length L ha...

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=sqrt(gy)`. (b) Show that the time a transverse wave takes to travel the length of the rope is given by `t=2 sqrt(L//g)`.

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