Equation of transverse vibrations of a string tied at both the ends is
y = (x, t) = \(0.3 sin [\frac{2 \pi}{3}x]cos (120 \pi t)\)
Where y and x are in m and t in s. Length of the wire is 1.5 m and mass 0.002 kg, then,
(i) Calculate the maximum displacement at x = 0.5 m.
(ii) Mark the places of nodes on the wire.
(iii) Calculate the wave velocity.
(iv) Calculate the velocity of the particle at x = 0.75 m and t = 0.25 s.