p2c-s2008-lecture-4

p2c-s2008-lecture-4 - I rec-va Ll VIH'Uro-i Ge uemul'es 3.....

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Unformatted text preview: I rec-va Ll VIH'Uro-i Ge uemul'es 3.. Tummci". .. K W 3 We maxi-E Pmdulum x wig La. mama Wdflwicaj SUP-PW Inna. Mai men Na (61» Qweo‘uwdesfifi- which H- lilr-fl 41> Vibmfi I4 LIME. WWW ink-WI 515W ad‘WI'! ‘FYEa‘UEOLQ, H— Cam Mandy-1M W "'7‘ immeaan amrfihcle n4 1&4 buildifité mm n-h-uck goes b3 , m- n‘n amfiqunke I4. we “Na +9 *I'nrud' twain-m at nflM‘é—eflU-mdu W .3 Verna H'H'LQ W cm Eu a-JOSWLJIJ nmh‘hia {Ha-j W afia‘iwina} a! W “H ' . “a {M --"—"' Hamming (W _________ M r A chm" {hacks rm tannins 4M Mafi- Law N‘MM haunting mm a. loam-cl NHL A'px-equwuq n-F fihui am 1.62.5. How Mudn wiil ‘HM. loam—A Adlai Uwh‘cdlua i-F 50m) Sfimls 1N1 ‘HM. and. ‘7 k = wazm = (zrr-gfm k‘x kx=m=3 _ m _ "1% _ X' 13' " 1 - i 1 (mm (mm Periodic. waves —- a. 541301:th Sham n‘F wave Pulses Hm‘l" Wren-['5 We Same ffl'HT‘rfi od' regular intervals K—A—el —-9v -—>v ——av —>v ——-—————'———’—'—-—'"—"9x FAA -- Cl Lemma“ Md mear'l'nn'l' Fhfihamennn "flue. ola‘shnce beheen adjacent Peaks, arr Ina-Mew aeljacmf 'H‘NQMS, is awed 44w wavelengw‘h A ( A = gunk \ambdn) As 44“: wave Mvnls 4-: m th'l’, Eqdn Faint x axkibih Pwiaii‘c mafia“: L300 {'5 Pavia“: 'Cor mung Fain-l: x The Refine} T a": 'ans ‘Mu'ffm f5 “Hue “H‘sz H- +ak2$ fir ‘Hne wave 41: +£an we. wavalamg-{L _; T = i}. V=5Peed 0154412 wave. or- V=$=fl£ —7-) where {3: .7:- is ‘l‘ne Gefluencfl 0": HM wave (-Hne number a": wave “6+5 *Hnai' Pass a. given ,9an in ‘15) Hmmmic NM'ES - Waves wiHna sinusoidal Shalara "' A55“ k K-VH A;k=ms+ufl+5 ‘3 [ Err—J ] A=amp|f+uJe [1% {HM x-vi' Form of a wave, as we. éiscuueél {tn-t1: {(X-IH'] 'FIH' dung wave framing in 141: +3: dfredfa-n. Consiaw a "swing/cot“ 01' 42"“? M- W” Cuba“ —-9 L3 = Asidka Th9. Rnfifm mu5+ l-QIFQQT eve/«3 A : sir-Jaw) ASifiUx) = Asih[k(x+,\)] =sinamsb _......__....._— +£um sin}; : AsinkxmakA + Aces kx sink/l Saiu'l'im: |<,\=2Tr 9H k is cc.th “Hm wave. “umber (H- I‘S hn'f' Masada M W‘Efim] H waugaii‘m number “US: kV = =2T|=F = LU Liv—Hind k V (angular- ‘F‘chlu E‘nflj —-9 0n . 47.) or I3=Asin[k(x-vfl] ‘3 = Asih(kx—w’c) a swwclemav a. hnvmmr‘c wave In W, W is a Phase o-FFsd': a: A5;h(kx_wt hf) Far waves hauling in 1‘ne -—x direch‘m, \3: Ash“ kx$wf +g] The. disPlacemtn'l's 0"; HM: Medium ' ‘4 am 5:33 1243‘, *3: Asin(w’c+3) v K 'For X=<v ; Steed n'Fa. wave cm :1 Shin; Ra|q+iuelg any; 41: cleriue ; shows general fiend-we: Had" are Valid 'For all machqnl'cnl' waves, $3., Sound macho-Mini The sFeenl o-F qhque in a. Uni—Form mEch'um Jerends anlxa ah 'Hne PHFET'I'i'EJ o-F'H'Ie medium, M nun 'Hne, (anmd-erl‘sfics n‘F "Hie wave (-Freraluenctg , flmPli-l-udfl, Thus weaves n-F all 'H‘Efiuehcfes and qulihdes 'f'mvel as? fine same sreed AS an example, music,“ a wave or: q S-lring (fang EQHEIE’CL) The S'I'Tifig has it mass Cli‘flSi‘ha P: %’ “mg” (m =+b+nl muse», L = +o+nl lama-Ha) The Pulse. MWES'h‘H‘nP. Tighf at SPEEJ V"’ or, eclu'walen’flg, 'Hne. Puke is a‘l' res-l- qua +‘ne S'h‘ing moves +0 ‘H'Le iii-Fl" n'l' #293 V Cansiéer mm in-Fiwbesimal segment M We Cam heart ‘Hw. inshw'hn'neous mini-ran o-F cm as H- Passes 'thugh -Hne Pulse +0 be circular , Wi‘Hn ‘rquus cu‘F Lurvn‘l'ure i" (an ins-hmf Inter", +11% circular radius waulé ‘nan a. IAN-Fermi“ Value; UHIESS 'Hfle Pulse has a. circular shape) ‘9 Eat. = elm y: elm: mass D‘FC’f :0. The cen+riP|+a1 “Force is Praviéacl Ea 'Hfie +£n5ian The fansirn f5 "Hue Salan aVet-Lawhere in fine S'H'i'na 2. R :: T gt:- ‘1 ,. = Ami;— (ammo L = l 9““ .Vz" dun/ax F. Speed a'F Hm: wave on a fishing vmg = fig“ 5-1: a. wave on a s-l-‘ring lou+ H's Feq'l-ures QFPIU +5 mu meohmfcaJ LAJQVESI Sud/I as SaunJ {hm-tic; SFQECI V N res-bring £5119 where, W “ inertia“ f5 Hm mass Jami-’41 a; +‘ne medium In We case 0% +ne shincé, ~Hne "réS'l'oring {ox-Le" is 'er finsim —9 it is wha'l' makes 'Hwe mleum Shot]: back +0 H's original lanai-Hm; H3 H— Aoeg Wig qUECkILA because 'Hruz TeSfiring 'FDTCQ is large , 1"th means (5% Jagnr'fim‘) Wax—Hm wan. Passe; oluiLHLé —; hi3)» SFQJ V We ab-l'ain "H/‘Ie Lullawing impav‘t'an'f infimafifl 'Frwn our calmlajl'fm H: szn% “> M SPEECI o‘Fn wave in a. hamaws mdl'um W clarmds fl m1 Fur-Mb?) aF'H/LQ medium (in Hat‘s case, +Luz mun-“T #414409 Shina Md (4-: mass Jen/15H"? The SPmd n'F' a md/tmfcaJ wave [‘5 €an 0" "Hm wave Perf'tiQS 1 £16.} mmFIH-ucie 3 (maven? Shaking 'Hm. s-l—rina fits-E (111‘ng Radium-CA4) 0"” thu \mcam- mPlf'l-ude 01:32an capped ‘Hw. SPF-id. For Sour. :1, notes Alaluenw] J [MAJ m'fes (low ‘Frequwuax , [aual (lax-9.2 mpll'fiaub‘ dmcl so‘F't (5mm!) MPII'HAJE] Souran aJJ "Fraud ad- 'Hme Same Spam] in a. alum meél‘um (air: mafia- left...) O'HWETW'ESQI ‘I‘S'Eeming +o a arms-firm ("Ft-r exWPlfl, 'HuL Vela-Hue firms: 0": ctr-1'in 0+ ‘Hhfl hu‘hes Luau-la WA on how {at back in “Hue audfhvium Lama. are sea-teal! ...
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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-4 - I rec-va Ll VIH'Uro-i Ge uemul'es 3.....

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