p2c-s2008-lecture-8

p2c-s2008-lecture-8 - lac-lure 8 S+qndfn waves m1 {5+an 5...

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Sauna 510m (321' out We. will see. +1.er -Hne inshumen‘: UJf‘H‘i one, emc] (DP-Eh Pwducu Iowa!" nun-has was“ +4ne ins—Hummt {pi-PM bn‘Hx was nPem, Q‘sSuming We same, [mg-[41 I‘F "Hm-Q and is w , 4412, and 1‘s {aw-oat] +0 vermin out qJCMDSPkQTfL P‘I‘QSSUTE -9 "HM; and I"; on. Preswre nude. IF +112 ear-.3 f5 closed, chi-ems M: Hne e.an cahnn't mwt —=7 “Hm. 9.an is a. dfsplacemenf nude We‘re'core , 4145-25 wf-Hn bofi ends Cloud acne, jus+ lfke rah-{was wi‘Hn pfer andPufflH —> bu‘Ph endpain'l's cure. dl‘sflqcemefi' mm a fig S+nndfna wave q-Herns nml‘HnuS mad'hamn-Ifcd Eéflfii'un ‘ +he 'HneAna-l'uml ealuencles (WHWSanMj‘ music Hequancfes“ an hares ) have Hm same. ‘Farm as -Fu-r+1ne S‘hrin we «Irena? di'smssed - oilhm Niki-uncle NH f: 45+ hnTMMtE 116., we sencl Sound clnum 'qu +UE-IE a'l' a. certain -Fr£o‘uanclfi ; 'H'Ha sound “Huh 0.“: 14m and or? Hoe +1452. ; f'F ‘Hn-e Sauna] wavelmgw ’73 Sud“ find: L: h I). h=4lzlgl.n 'Hnen ‘l’he Sound ‘FY-EGIU‘EHCIQ E‘s a hnhral ‘Fheo‘uenma of Hm “lube amd "Hr-.9. 4141M. Naomi-es a we 543+ up an. Shndi'ng wave The hahml fiEquencfes ant-Hm +ub4z mu». 41m: clased encls acre +‘nus V V —2L ......—: .— Ai'rT”) -Fh",l th % same 2x Pressi'an an; Fm Hm 5+ring wiHn 9‘er mil Wink unfit have V: SPeeé a‘F snumhatlumla ——) 0x 431.1th shrines will ‘nn‘i' Fmdute ‘Hne 5‘an hate as a chased +uba a? Hue Same IWQH‘. unless we qijus‘i: ‘Hne Hush“ 'wnA {of mass dawnng 0'? 'HM'. Shir-g audn *H‘roi' Vshina:@=3qqmls_ Four musfcaJ IIWS‘ITUmtn‘i'S’ o.+ leqstl-om em} afi 'Hne ‘lube should be open +0 M" "H142 Sumac] waves flirt} 5:: we. *MX'I‘ need +0 fonk quuu-f- Pressure Yarfqfims 3. hacks in anfi-n‘m +1: Fosiffan Variations & nudes Thus consider am arm—enJed {ube (3.3.,qflu1ce) 3x9 blaming in'l'o "Hm moo-lfifi'ece, we lama-JR Pressure Writ-whims "Hind" figural +0 “Hm wds o'F "Hi0. +ube mad nHu-l- quk —? we. tacit Shading Nantes ad- 'Hnta. TBSanan'l' (mad-Won 'Fx'equewcl'ei 3 'H-xfs will Freduminnn'l'l‘d Be. 'Pne Qnénmefl'lnl Frequenud 1.1.2. , +‘ne ‘rQSnnnnt ‘F‘reiuemnd n.1in 'Hne lav-yd wavehntg'ljn, as 4m- +‘na cauH-nr shin: Thus: cam.us 'HW. fie-Wm 'For 'Hw. finclmen'l-n] Mode Since "Hne and}. n-F 'Hw. film aw. arm ., We. faressure Oct 'H‘lli. M0 E‘flas ax fimasrhmlt _ Pressure. Pa . a 'H'uz. ‘l'wc: :1an are. FTESSU‘f‘Q nodes We. knew. -Pne~re mus+ be. a. Pressure nwi-I-nmle. Lei-mean +‘ne ’2. nodes Ting gndqmen'f’aj MDC‘Q bi! ‘HW. SimFIQS'E Made "and' «Hands ~Hm‘s J LE. 1 'Hnai‘ Inns no. n‘l’nerr Pressuve map. befiween +ho. 4mm ands ’I‘ I P: Pa I P‘l‘Pu (it? = (1:) i 1 : l .— —-o .—-—-—— L- ————. T i t Pressure hula tans-aura nah = . . . _ = Pnifian ahfinoaa l (P Po}? and l'ij-ql) I = rasttmn ant-mach, Pasl'fian haJE {lam‘lfidn when (no WuVlmn‘i’ ai- n'tums] 'i’hi back 3 Fax-Th SHM = Prawn nmtinadfl “flame” “'F (lamfim 54-9119 maximum alt-Ems has fine [tn-«32d- amflrl-ucle) Ynfin‘fian in Pfiisurfi) we, rafresen'f +‘m‘s using 'ere ér‘srlqwd 9.anqu displmEmEn‘l' envelopa 'Funclamen'l'ul ma d2 _ A Z AisPhcemen’c nacie Ea.an successiVe. lawmath “Haw has one and iii-rand displacemm't nude (‘15 UN“) “:7 ——9 45+ kmmmic e (-— L = A _> 4F and Law-Manic. (— -) L: 1&- k—A ——-—>l<—.§-——Jl 2' We. 1mu5+ alwags have a. Pressure. node (Posi‘Hm nn‘h'nade) cm +‘he encls '2.L . 'flnus L51; —*; A=Tg 1h=4:2.%.w The. Human Frequancfes are fin: a; : an .5: a -Pne same as H19. hbe wi-l’h 'hua closed ends fluff M“ We 1H1|“ @91' M Sauna du+ £undnfi¢fl+fi1 Fa‘mllai urnsfder -H«e. +ul>e wH—‘n one and arm me! one closed -? 'lmeE't , Lint-ind, Saxnfhanelefc. We mu5+ haw. q lanai-Hun ‘nuc‘a a'L' +112 closed em) and a. Fmssure nude :14: fig, elven and clm‘Sfluceman‘t awaan ______._) “'3 'FUhanmE‘n'l'nJ maJe 6—- (4 displnmmen‘f male.) ( t =§ — A L .— ._ displacemfln‘t‘ ‘1‘ ‘1 node Preisurl node -..-. ch‘s Placement £1115de 45+ harmonic I S (1 dx‘sflqctmni- nudes) .. 3A V— g—ek-ér—x L ' T __) 1m! ham-manic (— (3 Ms.leme mails) .. A |<——-A—a|<—.f:__)! 'L- Eq— -hA . w L--——- ->~ Aw; Jh=4,a,5,--- L1 onha ~HnQ it! harmonics arr-e Presen't The resunnn'l' fiecluencies are 'E‘" fi" "" 3% ;n:*l{5,5"... There'Fwe , +0 SumMM‘i-fie‘} 1! wave an a. Shaina ‘, V: J? t +U‘ba Uni-Ha tamed H -F - h '3'- " h 41 51 {LL 1 - 1' '3’“ 1. or!“ ifliilv=Vsuund GT" {.r-hl _h_135m h‘pawfirhmwa “ LIL J ' i I 1 aymfiontclasid axe. Hue. hn-l-uml (rESanafi3 fiequamies Err-Hm aifiwmt si+uurtio~ns 9 ‘er musical nukes we heal:- Tkuh-Fm- -Hne Same. [an 14‘, Ha: “n+2 1n 13 b m- ‘3 P ‘3 ‘3 clavinfi av- mmPe‘t {'5 louder bus q-Fad'or n4: +wo in Freiuencta fin.“ -l’he nn’re qugecl £44 a; -Flwl:e , Eng.) 'Fw 'lJnE. 'Fumdnmen'l'od Matias h=i. ...
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This note was uploaded on 05/23/2008 for the course PHYS 2c taught by Professor All during the Spring '08 term at UC Riverside.

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p2c-s2008-lecture-8 - lac-lure 8 S+qndfn waves m1 {5+an 5...

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