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lecture 15 - waves on a string

lecture 15 - waves on a string - Announcements Prayer...

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Announcements 2/9/11 Prayer  Complex numbers next time. The Colton  “Complex numbers summary” handout should be  helpful. 
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k  and   ϖ What’s the difference between these: General form of cosine wave: …sometimes written as: k = “wavevector”;  ϖ  = “angular frequency” cos( 5 ) s x t = - cos(2( 5 )) s x t = - cos( ( ) ) s A k x vt φ = - + cos( ) s A kx t ϖ φ = - + ϖ = _______
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Reading Quiz A wave pulse traveling on a string hits the end of  the string, which is tied to a post. What happens? a. The pulse reflects, flipped over b. The pulse reflects, not flipped over
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Demos Shive wave machine Web demo:   http://www.colorado.edu/physics/phet/simulations/stringwave/stringWave.swf
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Reminder: the Wave Equation Why is it called the wave equation? a. Because traveling waves are solutions of the equation! 2 2 2 2 f f C t x = ( 29 ( 29 2 2 2 2 2 sin( ) sin( ) sin( ) cos( ) cos( ) cos( ) f f A x vt A x vt v x t Av x vt f f A x vt Av x vt v x t Av x vt = - - = - - - = + - = - - = + - - = - - 2 C v =
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