Standing Waves (Equal amplitudes, opposite directions, same frequency and wavelength) The waves can be represented by x

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Standing Waves Equal Amplitudes Opposite Directions Same Frequency And Wavelength The Waves Can Be Represented By X 1 (48.5 KiB) Viewed 39 times

Standing Waves (Equal amplitudes, opposite directions, same frequency and wavelength) The waves can be represented by x = y. sin(kx - 1) and 3: = y. sin(kx + 1) + Use the trig identity sinat sin B=2 sin az B =2 COS a B 2 2 to combine these and show that you get: 3+=2 y. sin kar cos et How do we know that this is no longer a traveling wave? Explain why we can find the locations of nodes (where the amplitude is always zero] from this equation by setting (kx) equal to me and solving for x. Use the procedure you just explained to write x as a function of the wavelength 2.. To find antinodes (where the amplitude is a maximum], we must set kx equal to and we solve for x as a function of 2. and we get: