Example 2 Two waves traveling in opposite directions produce a standing
wave. The individual wave functions are
y, = 4 sin (3x - 2t)
y2 = 4 sin (3x + 2t)
where x and y are measured in centimeters and t is in seconds.
a. Find the amplitude of the simple harmonic motion of
the element of the medium located at r= 2.3 cm.
b. Find the positions of the nodes and antinodes if one
end of the string is at x = 0.
c. What is the maximum value of the position in the
simple harmonic motion of an element located at an
antinode?​