A heavy but uniform rope of length L is suspended from a ceiling. (a) Write the velocity of a

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A heavy but uniform rope of length L is suspended from
a ceiling. (a) Write the velocity of a transverse wave
travelling on the string as a function of the distance
from the lower end. (b) If the rope is given a sudden
sideways jerk at the bottom, how long will it take for
the pulse to reach the ceiling ? (c) A particle is dropped
from the ceiling at the instant the bottom end is given
the jerk. Where will the particle meet the pulse ?

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Bro literally you nailed the question.... explanation ❤

AjayKumar-ntvc