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The transvers displacement of a string (...

The transvers displacement of a string (clamped at its both ends) is given by
`y(x,t) = 0.06 sin ((2pi)/(3)s) cos (120 pit)`
Where `x` and `y` are in `m` and `t` in `s`. The length of the string `1.5 m` and its mass is `3.0 xx 10^(-2) kg`.
Answer the following :
(a) Does the funcation represent a travelling wave or a stational 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 ?
Datermine the tension in the string.

Text Solution

Verified by Experts

The correct Answer is:
(a) Stationary wave
(b) `I = 3 m, n = 60 Hz`, and `v = 180 ms^(-1)` for each wave
(c) `648 N`
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