One end of 12.0 m long rubber tube with a total mass of 0.9 kg is fastened to a fixed support. A cord attached to the other and passes over a pulley and supports an object with a mass of 5.0 kg. The tube is struck a transverse blow at one end. Find the time required for the pulse to reach the other end
`(g=9.8 m//s^2)`

Explanation

Tension in the rubber tube AB, T = mg T = (5.0) (9.8) = 49 N or Mass per unit length of rubber tube,
`mu=(0.9)/(12)=0.075 kg//m`
`therefore` Speed of wave on the tube
`v=sqrt(T/(mu))=sqrt(49)/(0.075)=25.56m//s`
`therefore` The required time is,
`t=(AB)/V=(12)/(25.56)=0.47s`