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W11Physics1CLec14A

W11Physics1CLec14A - Physics 1C Lecture 14A Monday Quiz...

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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
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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 one-half the wavelength. We label standing waves by the number of anti-nodes, so this wave is n = 1 .
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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
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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 anti-nodes.
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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 y 2 = A sin ( kx + ϖ t )
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