Question

Two waves 1 and 2 are present on a string:
(35mm) sin [(8.4m ) (15.7s ) ] 1 1
y1 x t
− − = −
(35mm) sin [(8.4m ) (15.7s ) ] 1 1
y2 x t
− − = +
(i) Write the expression for the resultant wave, y = y1 + y2 in the form of wave function
for a standing wave. (ii) Determine the x coordinates of the first two antinodes, starting at
the origin and progressing towards + x direction. (iii) Determine the x coordinate of the
node that is between the antinodes of part (ii).