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Lecture 9 - May 1 2008 Physics 40B Lecture 9 1 Physics...

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Unformatted text preview: May 1, 2008 Physics 40B Lecture 9 1 Physics 040B/001-S08 Chap. 15:6-8 Standing Waves Review Transverse and Longitudinal Waves Traveling Wave: y ( x , t ) = f ( x ! vt ) and y = f (x +vt) Harmonic (Sinusoidal) Wave Propagation velocity v = dx dt = ! k v y = " y " t v y max = ! A a y = " v y " t a y max = ! 2 A Harmonic Wave Function " 2 y " x 2 = 1 v 2 " 2 y " t 2 Wave Equation for Elastic Media: y ( x , t ) = A cos( kx "# t ) T = 2 $ # f = # 2 $ % = 2 $ k k = 2 $ % y ( x , t ) = A cos 2 " x # $ 2 " t T % & ’ ( ) * v = + k = # T = # f , # = v f May 1, 2008 Physics 40B Lecture 9 2 v = F μ Velocity of Traveling Wave on String/Wire P = dW dt = 1 2 μ ! 2 A 2 v Power Transmitted by Harmonic (Sinusoidal) Traveling Wave Review Continued May 1, 2008 Physics 40B Lecture 9 3 Assignment #4 May 1, 2008 Physics 40B Lecture 9 4 Refections oF Waves at Boundaries •¡ixed End__ Refection is negative so that positive pulse and negative refected pulse cancel since end oF string can’t move. Reaction Force oF wall generates negative pulse....
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Lecture 9 - May 1 2008 Physics 40B Lecture 9 1 Physics...

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