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A rope of total mass m and length L is suspended vertically with an object of...

A rope of total mass m and length L is suspended vertically with an object of mass M suspended from the lower end. Find an expression for the wave speed at any point a distance x from the lower end, and calculate the time needed for the transverse pulse to travel the length of the rope. The rope has a length of 39.2 m and a mass of 1.00 kg. Suspended object has a mass of 8.00 kg.
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Answer #1

Mass suspended at x distance from lower end of rope

M'= M + (x/L)m

Tension = M'g

Speed of wave = (TL/m)0.5 = ((ML + m x)g/m)0.5

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