Answer to Question #78165 in Mechanics | Relativity for Prerana

Question

The vibrations of a string fixed at both ends
are represented by the equation
y(x, t) = 2 sin (pie x)/3
cos (50 pie t) metre
This stationary wave is produced due to
superposition of

y1(x, t) = A sin 2pie/lemda (x – vt) and
y2(x, t) = A sin 2pie/lemda (x + vt).
(i) Obtain the equations of component
waves, and
(ii) calculate the distance between two
consecutive nodes of the stationary
wave.