lecture 15 - waves on a string

lecture 15 - waves on a string - Announcements 2/9/11...

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Unformatted text preview: Announcements 2/9/11 Prayer Complex numbers next time. The Colton “Complex numbers summary” handout should be helpful. 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 = _______ 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 Demos Shive wave machine Web demo: http://www.colorado.edu/physics/phet/simulations/stringwave/stringWave.swf 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...
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lecture 15 - waves on a string - Announcements 2/9/11...

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