484_Physics ProblemsTechnical Physics

484_Physics ProblemsTechnical Physics - 486 Wave Motion...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
486 Wave Motion Section 16.6 The Linear Wave Equation P16.43 (a) A =+ 700 300400 .. . af yields A = 40 0 . (b) In order for two vectors to be equal, they must have the same magnitude and the same direction in three-dimensional space. All of their components must be equal. Thus, 700 0 300 . ±± . ij k ijk ++ = ++ ABC requires AB C == = 0 ., , . and . (c) In order for two functions to be identically equal, they must be equal for every value of every variable. They must have the same graphs. In AB C xD tE x t + = + + + cos . cos . . . a f 0 7 00 3 00 4 00 2 00 mm , the equality of average values requires that A = 0 . The equality of maximum values requires B = . m m . The equality for the wavelength or periodicity as a function of x requires C = r a dm . The equality of period requires D = 400 r a d s , and the equality of zero-crossings requires E = 200 r a d . *P16.44 The linear wave equation is = 2 22 2 2 1 y xv y t If ye bx v t = then =− y t bve t and = y x be t = 2 2 y t bve t and
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

Ask a homework question - tutors are online