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Unformatted text preview: Physics 1C Lecture 14A Monday Quiz Topics: Mass on a spring Mass on a string = simple pendulum Equation for simple harmonic motion Energy in oscillations Transverse & longitudinal waves Wave equation Wave interference Doppler Effect I.e. this inlcudes topics covered in class up to and including last wednesday Standing Waves in Strings For a string fixed at both ends, the longest standing wave we can achieve is: The frequency for this standing wave is known as the fundamental frequency or the first harmonic . The length, L , of the string is equal to onehalf the wavelength. We label standing waves by the number of antinodes, so this wave is n = 1 . Standing Waves in Strings The next longest wavelength that we can achieve on this string is n = 2 . Here, L = λ The next longest wavelength that we can achieve on this string is n = 3 . Here, L = (3/2) λ Standing Waves in Strings For the n th harmonic: L = n 2 l n =1, 2, 3, 4... λ = 2 n L Recall that: f n = v l = nv 2 L v = l f So in general the frequency will be: The different frequencies are known as harmonics for standing waves. Just choose n =5 if you want a standing wave with 5 antinodes. Standing Waves: Math Model Assume two waves with the same amplitude, frequency and wavelength, traveling in opposite directions in a medium: y 1 = A sin ( kx – ϖ t ) and...
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This note was uploaded on 01/30/2012 for the course PHYS 1C 1C taught by Professor Wethien during the Spring '11 term at UCSD.
 Spring '11
 Wethien

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