1)Two Traveling Waves y1=Asin[k(x-ct)] and y2=Asin[k(x-ct)] are superimposed on the same string. What is the distance between adjacent nodes?
2) Standing Waves are produced by the interference of two traveling sinusoidal waves, each of frequency 100 Hz. The distance from the second node to the fifth node is 60 cm. What is the wavelength of the original waves?
y(x,t)= ymax sin (kx-wt), where w=omega
For the combined wave:
y(x,t)=[2ymax sin kx]cos wt, where w=omega
The Attempt at a Solution
For the first question, I read in my book that adjacent nodes are separated by half a wavelength, but I'm not sure why this is true, and also what is the wavelength in the combined wave in this question? Please help.
For the second question, I know that you find the nodes by equating sin kx to zero, but I'm confused about incorporating the distances?