axeeonn
Jul7-03, 03:20 AM
I have this problem due tomorrow, well technically today, and I'm having trouble with it. It askes...
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 :(
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 :(