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Suppose a transverse wave travels down a stretched cable. Find the ratio vp/c of the maximum...

Suppose a transverse wave travels down a stretched cable. Find the ratio vp/c of the maximum speed Vp with which any particle belonging to the cord travels (i.e. the cord’s maximum transverse velocity) to the speed c with which the wave travels down the cable.

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Answer #1

For particle,
is the frequency of SHM of particle,
A max. displacement or amplitude of the particle
V = ASint [ the particle undergoes SHM ] ......1st

Max. V,
Vp = A

For wave on the cable,
c = .. here T = tension in the cable, = mass/length of the cable .....2nd

Vp/c = A / ...From 1st and 2nd

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