A mass M = 2.3 kg is hanging from a long string of length L = 21.5 m and total mass m = 16 kg. A student gives the mass a quick horizontal shake to set up a wave which travels upwards along the string. Express the tension of the chain at a height y above the bottom in terms of M, m, and g. What is the speed of the wave, in meters per second, at the top of the string? How long does it take, in seconds, for the wave to travel up the string?

A mass M = 2.3 kg is hanging from a long string of length L = 21.5 m and total mass m = 16 kg. A student gives the mass a quick horizontal shake to set up a wave which travels upwards along the string. Express the tension of the chain at a height y above the bottom in terms of M, m, and g. What is the speed of the wave, in meters per second, at the top of the string? How long does it take, in seconds, for the wave to travel up the string?

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