This preview shows pages 1–8. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 7 As 7 Bs 11 Cs 6 Ds 19% As 19% Bs 30% Cs 16% Ds k = 2 = 2 T phase : kx t kx + t kx t Wave traveling in + x direction Wave traveling in  x direction Transverse Traveling Wave y ( x ,0) = y max sin kx ( ) k = 2 Spatially Periodic ( repeats ) : k = 2 Wave number Wavelength Transverse: Displacement of particle is perpendicular to the direction of wave propagation Longitudinal: Displacement (vibration) of particles is along same direction as motion of wave Traveling Waves they travel from one point to another Standing Waves they look like theyre standing still v wave = dx dt = k = T = f Wave Speed 1610:Principle of Superposi4on of Waves Special Case, same k and but phase difference y 1 ( x , t ) = y m sin( kx t ) y 2 ( x , t ) = y m sin( kx t + ) sin + sin = 2sin + ( ) 2 cos ( ) 2 y '( x , t ) = 2 y m cos 2 sin( kx t + 2 ) 2 y m cos 2 is the amplitude of the wave Special Case, same k but s different and no phase difference y 1 ( x , t ) = y m sin( kx t ) y 2 ( x , t ) = y m sin( kx + t ) sin + sin = 2sin + ( ) 2 cos ( ) 2 y '( x , t ) = 2 y m cos t [ ] sin( kx ) 1610:Principle of Superposi4on of Waves Special Case, same k and but phase difference y 1 ( x , t ) = y m sin( kx t ) y 2 ( x , t ) = y m sin( kx t + ) sin + sin = 2sin + ( ) 2 cos ( ) 2 y '( x , t ) = 2 y m cos 2 sin( kx t + 2 ) 2 y m cos 2 is the amplitude of the wave Special Case, same k but s different and no phase difference y 1 ( x , t ) = y m sin( kx t ) y 2 ( x , t ) = y m sin( kx + t ) sin + sin = 2sin + ( ) 2 cos ( ) 2 y '( x , t ) = 2 y m cos t [ ] sin( kx ) Standing Wave n = 2 L n : n=0, 1, 2, 3  f n = v n = 1 n = n 2 L T n = 1 f n = n v = 2 L nv = 2 L n 1 = 2 L T 1 = 2 L v 2 = L = 1 2 T 2 = L v = T 1 2 3 = 2 L 3 = 1 3 T 3 = 2 L 3 v = T 1 3 Problem 1633: Interference of Waves Two sinusoidal waves with the same amplitude y m =9.00 mm and the same wavelength travel together along a string that is stretched along the x axis. Their resultant wave is shown twice in the figure, as the valley A travels in the negative direction by a distance d=56.0 cm in t=8.0 ms....
View Full
Document
 Spring '07
 GROUPTEST

Click to edit the document details