- #1
PhysLiz
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Homework Statement
Two transverse sinusoidal waves combining in a medium are described by the wave functions
y1 = 5.00 sin π(x + 0.900t)
y2 = 5.00 sin π(x − 0.900t)
where x, y1, and y2 are in centimeters and t is in seconds. Determine the maximum transverse position of an element of the medium at the following positions.
(a) x = 0.210 cm
(b) x = 0.520 cm
(c) x = 1.30 cm
(d) Find the three smallest values of x corresponding to antinodes. (Enter your answers from smallest to largest.)
Homework Equations
Equation of a standing wave: y = 2Asin(kx)cos(wt)
The Attempt at a Solution
by my calculations,
y1+y2 = 10sin(pi*x)*cos(0.9*pi*t)
and from here I'm a bit confused. I tried deriving (y1+y2) with respect to time, and setting this equal to zero in order to find the corresponding x-values , but I just ended up with 0-values so either I did it incorrectly or that's not the right method. Thank you in advance for any assistance!