- #1

A rope of total mass m and length L is suspended vertically with mass M at the end. Show that the time for a transverse wave to travel the length of the rope is...

t = 2[squ](L / mg)*[[squ](M+m) - [squ](M)]

I start out with t = L/v

where v = [squ](T/[mu]) T being tension and [mu] being mass per unit length

So, t = L/[squ](TL/m)

Thats as far as I got :(

The book hints to find an expression for the wave speed at any point a distance x from the lower end by considering the tension in the rope as resulting from the weight of the segment below that point. But i dont know how to turn that into an equation :(