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Transverse Waves

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A uniform cord of length L and mass m is hung vertically from a support.

a) What is the speed of a transverse wave in this cord, as a function of height h from the lower end?
b) If the cord is 4.0 m long and has a mass of 0.5 kg, how long does it take a pulse to travel from one end to the other?

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Solution Summary

This solution determines the formula for the speed of a transverse wave and calculates the time taken for the wave to travel a distance.

Solution Preview

a ) Velocity of wave = square root of (T/ Mu )
Where T is the tension and Mu is the mass per unit length = m/ L
Velocity at a distance h from the lower end
Tension in the rope at a ...

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