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.

The transverse displacement of a string (clamped at its both ends) is

1.	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.
Answer» Solution :(a) STATIONARY WAVE (B) `l=3, n=60Hz, and v= 180 ms^(-1)` for each wave (C ) 648N