Workers attach a 25.0 kg mass to one end of a 20.0 m long crane, suspending the mass in midair. If the cable has a mass of 12.0 kg, determine the speed of transverse wave at the middle and bottom end of the cable.

Answer 1

Tension is not uniform on the cable, due to weight being distributed. So speed along the cable is not uniform...
at the bottom: tension=(20*12)*9.8 N
at the middle: tension=(20+6)*(9.8)N
mass per length (m/l)= 12/20=.6kg/meter
speed= sqrt (tension/(m/L))