# Today 1/16  Waves  Interference of Waves  HW:1/16 HW Handout “Superposition” Due Wed, 1/22 (beginning of class)  Read: Ch 16.1,2,5 Ch 17.1,2  Suggest:

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### Text of Today 1/16  Waves  Interference of Waves  HW:1/16 HW Handout “Superposition”...

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• Today 1/16 Waves Interference of Waves HW:1/16 HW Handout Superposition Due Wed, 1/22 (beginning of class) Read: Ch 16.1,2,5 Ch 17.1,2 Suggest: Problems 16-1,2,3,4,5,8 Note: This lecture is mostly animations and is more than 80 slides long! Beware the print button!
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• Things to think about: How would you define a wavelength? How would you define a frequency? How would you define a wave velocity? What happens when two waves run into each other? Consider a traveling wave: sound, light, football stadium, water... How does the direction of the waves motion compare to the direction of the individual particles motion?
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• Wave moves right while particles move up and down. Called a transverse wave Examples are light, water, and football stadium, sound is a longitudinal wave.
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• Wavelength ( ) = ? = 8 units Wave Velocity (v) = ? Direction is to the right, v = x/ t v = /T x is and t is T, the time for a particle to go through one complete oscillation, as in SHM. Frequency, f = 1/T also as in SHM. v = f
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• What happens when two waves collide?
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• waves just meeting
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• ? Superposition!!! Green wave says move up but blue wave says move down so... Particle does not move!! ?? Superposition means superimpose all effects at a chosen location then add them up (as vectors) to get the net effect at that location.
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• Only overlap here. the two waves are right on top of one another.
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• Now lets put this in motion.
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference
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• Destructive interferenceConstructive interference This is a standing wave and is a superposition of two traveling waves. These two waves interfere with each other causing locations of constructive and destructive interference.
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• Destructive interferenceConstructive interference Note that the locations of constructive and destructive interference alternate. These locations are called nodes (destructive) and anti-nodes (constructive).
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