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The transverse displacement of a string ...

The transverse displacement of a string (clamped at its ends) is given by `y(x,t)=0.06sin((2pi//3)/(3))xxcos120pit` where x,y are in m and t is in s. the length of the string is 1.5 m and its mass is `3.0xx10^(-2)` kg. answer the following.
(i) Does the function represent a travelling or a stationary wave? (ii) Interpret the wave as a superposition of two waves travelling in opposite directions. What are the wavelength frequency and speed of propagation of each wave ?
(iii) Determine the tension in the string.

Text Solution

Verified by Experts

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