- #1

harambe

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## Homework Statement

A uniform rope of length 12cm and mass 6kg hangs vertically from a rigid support.A block of mass 2kg is attached to the free end of the rope.A transverse pulse of wavelength 0.06m is produced at the lower end of the rope.What is the wavelength of the rope ,when it reaches the top of the rope

## Homework Equations

## The Attempt at a Solution

So It is given that the wavelength changes and the tension also changes through out the rope

T(upper segment)= 8g,T(Lower segment)-=2g

The wave equation

v1/v2=(T1/T2)^1/2 {the mass perunit length cancels for this case}

Now velocity of a wave= wavelength X frequency

The wavelength is changing through out the rope and I don't know about frequency so How should I proceed after this...Does the derivation consider the fact that the wave changes velocity at every point on the rope