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(i) The transverse displacement of a str...

(i) The transverse displacement of a string (clamped at its two ends ) is given by `y(x,t)=0.06 sin[ (2pi)/(3)x] cos 120pit,`
where x, y are in m and t is in s.
Do all the points on the string oscillate with the same (a) frequency, (b) phase, (c) amplitude ? Explain your answers. (ii) What is the amplitude of a point `0.375m` away from one end?

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The correct Answer is:
All the points except the nodes on the string have the same frequency and phase, but not the same amplitude.
(b) `0.042 m`
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