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The transverse displacement of a string ...

The transverse displacement of a string (clamped at its both ends) is given by
`y(x, t) = 0.06 sin ((2 pi)/(3) x) cos (120 pi t)`
where x and y are in m and t in s. The length of the string is 1.5 m and its mass is `3.0 xx 10^(-2) kg`.
Answer the following :
(a) Does the function represent a travelling wave or a stationary wave?
(b) Interpret the wave as a superposition of two waves travelling in opposite directions. What is the wavelength, frequency , and speed of each wave ?
(c ) Determine the tension in the string.

Text Solution

Verified by Experts

(a) Stationary wave (b) `l=3, n=60Hz, and v= 180 ms^(-1)` for each wave
(c ) 648N
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