mt1soln_08

mt1soln_08 - anti-node node node 3 4 ! anti-node node node...

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Unformatted text preview: anti-node node node 3 4 ! anti-node node node 3 4 ! Physics 9B-C Midterm 1 Solutions Cole, UC Davis 20 points per problem/120 points total. [1] a)bothb)frequencyc)rightd)greaterbulkmoduluse)fasterf)decreaseg)0 h)falsei)awayfromj)antinodes. [2] (20pts) Method1: Startbyapplyingthederivativesandusingthechainrule. Let u = x + vt: y x = dy du u x = dy du sothat 2 y x 2 = d du y x u x = d 2 y du 2 Similarlyfor dt, y t = dy du u t = + v dy du sothat 2 y t 2 = d du y t u t = v 2 d 2 y du 2 Pluggingintothewaveequation: 2 y t 2 v 2 2 y x 2 = v 2 d 2 y du 2 v 2 d 2 y du 2 = whichis0. Method2: Thefirstorderwaveequationforwavesmovingtotheleftis y t v y x = ,andis easiertouse.If y isasolutiontothisequation,itwillalsobeasolutiontothewaveequation.isasolutiontothisequation,itwillalsobeasolutiontothewaveequation....
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mt1soln_08 - anti-node node node 3 4 ! anti-node node node...

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