Question

A heavy uniform rope is held vertically and is tensioned by clamping it to a rigid support at the lower end. A wave of a certain frequency is set up at the lower end. Will the wave travel up the rope with the same speed?

Answer 1

No. Due to the weight of the rope, the tension will increase along the string from the lower end to the upper end. Hence, the wave will travel with an increasing velocity along the string, since `v prop sqrtT`