A mass M is hanging from a rope of length L and mass m. A student gives the mass a quick horizontal shake to set up a wave which travels along the rope.
a) Give an expression, in terms of the provided variables, for the speed of the wave at the bottom of the string. You may assume the mass of the rope m is much less than M.
b) What is this velocity, in meters per second, if the hanging mass is 18 kg, and the rope has a mass 75 g and length 2.9 m?
c) If you double the mass of the hanging weight, what will this velocity be, in meters per second?
