Assignment2 - LinIt_P hysZ 3D E_5pringfl9 Assignment 2...

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Unformatted text preview: LinIt_P hysZ 3D E_5pringfl9 Assignment 2: Mechanical Waves [Chapter 15] Due at 3:00pm on Friday, January 3D. 2009 Wu: Gradim Deiails Exercise 15.6 mfll'ilflifll: Acmmmistfictfledbyfii t1=B (us {211] ([311; - mam j,udelefi:## Inn, lantliFfifilcttl, mm; {a} Definite fiewave's anglinlie {h}De‘eml'Ie fiewa‘t‘e'swa‘eeletgt. (c}Definire fite 'I'l'a'i‘E'S femur}. my... Acmmmse wave jsfieactihetihj' yEIJ} = Benel211'(E - r 'ttleteB‘=".'.IIIIIII1:|.|.1.1;1I L=2ILD “1..de =331-DJ-c1flI—2 El. Part A Definite fie tut-1'5 IIIIEIIi‘IIIE Definite fie wet-1'5 new Part D Definite fie fiat-1'5 speed nt'prupagafinn. PaflE Definite fire mate's fiirecfinnofpmplgfinn. ANSWER: I Exercise 15.16 DescrilflhIAI-msm'ng wafimw isliedtu'flrceflingatifi wmmtelofiarend suppmlsawejgflflimwuphflfleming slightly: firwnatmwliugupte :tlingubeyflreqmlionfi {mt}}=((fijfl{m;|} JAE-Elsi: (HEMP-1m... A 1.3fl-m suingufweight 1.29 N ist'L-edt: flrcefljngatit mam, unit! lfl'fiEl'EIII mappwls a weigiiI-‘Ir'.fi'15m3wp11ldtflr stlingsligifly, 1}! wave: maeljngmfln: stringnbeytte qutiuny [.12. I} = [3.5!] mmm {1T3 m'1 I — 2T3] If1 1} Par”; Hnwmnhfilm dunes ittakn aplflsatou'm-‘Elfln full lenghufflestring? P31113- Wln‘tis fieweigh‘t'I-‘Ir'? HM'nnnj-‘wm'flmgflns are-nut! sln'JEatmj-‘imlamucffim? 1I'Jn‘ln‘tis [he equfimfim‘waves Mam [he suing? {- yIIII. [:I = Itmljtutflfl m"l I —‘173l'l5" l:| E y[:.t] = {3.5.11 mjmnnna m"L 2+21'30 rt 1: r fix. :3 = {1:15 mm}:qu m" :- +2330 5" HI r y[:.t] = {1n}: mjmnnn m' ‘z—amn 'n] Exercise 15.2" Descrilflhtfipdammwimmss mud lenghLis mhadwi'fllaminmncflgkwm‘e nimfi'eqmcyfmdanpfiufleflmvels slough wire. {a} Caluflata fin mpm Larrjed hylhe wave. Eb} WWNTIE mung pun-Him wave mlimdn... :1de wire wifll muss 2.?5 FI- and 1m?fi.fl an is stretchdwitha mjunuf'lfifl N. Awave nithfraqmcy 1&5 H; mmflinfle 1.50 mm travels aJuug'flmijE. Pal-IA Cal-cum! the Hang puma" (mind by flI wave. Part]!- ‘flflmlnppeus In 111 mpm iffin naminle 1'5 halved? Exercise 15.26: Reflecfinn DEer Aware p‘ulsenna stringhs fliedij sturwnjuflr figmatt=flffhamre5peedis “(Emmi Hpnjmflisafimdmi, draw 1113mm] I'm!!th strings“: 15m. (b) prnintfl is aimed militant! militia-tout! stringatt Awawp‘uke masflghshmmmflrfim at: =fi.'1'hewave speedis-H} (Hull's. 41} mm 4J1] mm PaflA Hpujmfljsafiudmdmwflmu] wweonflrstrjngatl =15um. yimm) ANS'WE R: .4 __ .6 __ .3 __ Parr”!- pruiniflisafiudmdmwhmulwwemflrmingatl =20ms. a __ _ yfimm) 6 _ Par“: Hpuintflisafiudmdmwfirmmlwm'emflr stn'JJgaH =25 um. PaflD EPOIiIJIU is a find-uni, draw tumulwmem'flrsuingat A: =J-Duus. -2U PmE ijmflisafiudmdmwflmul u-muonmestrjngatg =35 um. ANSWE R: ANSWER: -15 -10 drum) Mm!!!) minim) Part]: IEpuim D is a fined. and. dJan.‘ 11:2 tots] ware matte string 3:; =40 um. ANEHI'R Part G prm'm D is a finedend. dJ'EJ'I.‘ 11:2 133:3] ware mama string SH! =45 “m. ytmm} :UI'SHIR: ‘3 Part H Repaatpmk for 11: case inn'tlichpmm CI L5 a free and fur £=15 LIL-3.. yimm) ANS'E'L'EK 1[hm-t] RepeatpanB fiJILhE casemwh-zhp-m'm Oisafieeaflfirtflfi L115. ANSH'ER: 1a: Part J Repeat part f. ['11: Lb: case anhchp-acim 015 a. fee E131 fin" I=251|flt ANSH'ER: 1a Part K RepaatpartD for ta case inn'hkhpmm CI L5 3 free and fur £=3EI my. ANSH'ER: yflmm) yfimm) 1EI‘ Part L Repaatme far 11:: case inn'hichpom: CI L5 3 free and fur £=35 um. yimm) :UI'S'H'ER: ‘5 Part 11 RepaatpartF fiat L112 case anhchpojmflis a. he and ['13: £=1CI 141.5. yimm) :UI'S'H'ER: -4 -6 -El 1:! Part 3: Repeat part Bio: 11: case in n'mchpom: CI L: a Eree and fur F45 “m. a __ ytmm) 6 __ ANSHI'FE Exercise 15.18: Interference uf'Il'iangnlar Pnleee [IE striplinn: Two :rLaJlgulaJ ware p‘LIlSE are traveling toward each Utter one started suing 3.5 SIEHJ'WEI. inthe figue .Eachpulse 1'5 Ldmjcal In due min: and travels 3:105 cm‘s. The leadmg edges of the pulses are LUCI cm apart a: I: = III. (3] Shah-Jame dupe... 'I‘wu trims: warn: pulses are trading [fin-ardent utharm: a siren:th sum; as shew-11in 111E figure . 1-33.th pulse is idmnzal 1:: 11:2 alter and travels. at lflfl L'IILII'Ih. The leading edgfi elite pulses. are 1.0m... spares: J: = CI. .; I‘ll" Hulk. |' _‘ "H.115. __—i-- 11— IIJJu-n 1“:'I'"I _ ' ‘11.le {—H—b 4—14—9- II'HI-nu Iffiem LIII-m‘: Ifl1ull Park-'1 3.0 -- Shannen shape of am smug an; = [2.25:] a. New} ANSHIK 2-5 “ 1.|:| — I - I ' | | I - | -3.0 -2.|:| -l.0 U 1.0 2.0 3.|:| .11ch _1'0 _ Part]! D Ekenhdaeshapeaffllesmngau =|2I.5Cfls. yicma' . 2.U AHEH'ER: . - : . - | -3.0 -2.E| 2.0 3.|:| rel:ch Par”: 3 U Skechtheshap-eofmesnLuga:£=fl.TSD:—1. yficm} ' 2.0 '- ANSH'ER: LEI ‘- I . I . . I . | -3.0 -2.E| -1.0 U 1.0 2.0 3.|:| .11ch _1'0 _ Part1] Ehfihdaeshapem'fllesmngetl =1.EIC{IH. ficmfi'n ANSH'ER: 2.0 3.|:| —3.o 53(ch Part]! Shfihdneshapeacfmesmngetl=1.25|fl5. “emf-U " _ 2.0 — 3.551111% 1.n — . - :—|—|—'——'—l—'—i - I —3.0 -2.n —1.0 0 1.0 2.0 3.n .11ch -1'0 _ -2'0 __ Exercise 15.19: Interference uf'Il'iangnlar Pulses Destripfinn: Two mugulal were p‘LIlSE are traveling toward each ether acne stencted suinges stare-ninth figure . Eachpulse :is tiered-cal no Lhe miner anitrarels 3:103- cm"s. The leeng edge: if the pulses are LUU cm apart at I: = III. Suppose that 'I‘we trims: W31! pulses are Emeline Inward exhudae'ren a stretched smug as shew-11mm figare . Eem pulse is. identcel to fine rater udtrrcels at llflfl :-|||.l.I'.-\.'1'I:e leading edgfi effl: pulses. are 1.00 nu apart at; = I1 Suppnse mantle efi-trare|i¥ pulse Luflle figure is field-w 111 level affine lamented smug iusneed of ebm'e it _' {ll-n11} u- Hum-nu Linn" .3". -'-.K “II-Ian I x Z '* _‘ ll IHhm ‘1: H :- 4 H :- | mun Inn-m Luxlm l-Illu'n PartA Ekerthdaeshapem'rhesmnge: x = [12503. Menu} 2.0 -- ANSHIR: Ln __ -3.U -2.0 -1.0 1.0 2.” 3.0 xfcm) Part]! Sharahdse shape m'LhE smug at; = 0.500 s. Part C Shach the shape :3me 5|:th a: x = 0.3505. ParIII Sher:th shape :5me smngatl =1.flm5. ParIE Shanhthe shape anme scrth at! =1.25fl.-a. ANSH'ER -3.E| -2.0 ANSH'ER -3.E| -2.0 ANSH'EFE -3.E| -2.0 -1.0 New} M 1.0 M001} 2.0 1.0 —1.0 1.0 1.0 art-2m} 2.0 — :.n — '—|—|——|—|—: —1.0 _ 1.!"- _1'0 __ -2'0 __ 2.0 2.0 2.0 M001} 2.I:I — ANSWER 1.n — | I—'—|—‘——'—I—‘—f -3.n -2.0 -1.0 1.0 M -1'0 _ -2'0 __ 3.0 xl'l'cm) 3.0 :11ch 3.0 .tl'l'cm) 3.0 .11ch Exercise 15.34 Descripthl: Adjacent mil-Ida :Ifa stamina-wanna sningare 15.0 mapm. Aputixle atmam'mde calcium; in singletumunitmnfinnwifl: ampliluie H.351) manipu'iIJd {IIJII'J‘SIII 5. The suinglies aJungfln-I-x-mds aniis find at Ft}. (3.} Haw far apart... Adjacmmfimdes of: mmma stringm 15.|i]I cm apart. Aparficle 3.12m.de DELiJllEEjJ] mummmmmlm 9.3511 cm andp-m'n-d 0.975% a.TtE5tIing].1'es almgtla-I-x-msandisfixedat J: = CI. 1"qu How it apartth adjanam nods? Part]; What is Ihe wavelengfll affine two traveling waves 11m farm Ibis pain-11'? Pant: Wh‘tisfluamplimde offluam'u mrfljngmflutfinmfifispam? PartD Part]! FNMWMMMME Epuds ntfapnimatuamimde. Elise: your answers mammal]: separated by: mm PartF I Exercise 15.38 I Descr'ptiucl: Amp-e nchEngfl'lLis matched Wam‘m'u suppnm with: tansinnt‘tat makes 11:! transverse waves lave a speed Div. {3) Whfisfle wavelengfl'l :Ifflr fmmhmnl 11mg? (b) Whittle fi'eqlmy :Iffl! fmthma] IBIIIIJIJK? mum is Ample nfleng'h 1.42 m is stre'bz‘tladbe‘tweentwn suppmlswifim Ensignflmnmkes flJEtramt-‘Erse waves law.- a speednf-l-lfl mlfs. Pal-IA Wtisflemflmgflncfflefinflmxmalhmmfin? Part]! Wtisflefi'eqlmyufhfmflhnmfinlhmufix? PartC Wtjsflemrflmgfimcffle saturamrm'tm? Par-ID Whittle fi'eqlmyufh semnimrerm? Part]! Wtistbemrflmghm'flnfiuunhhmm? Exercise 15.46 Descr'ptiucl: Amml stringfiad atbo‘lhmis isw'brafing inils nflumalmdn. Thtraveliugwaves lave speadv, fi'eqlmyt; upliuxie A an! “vain-1931 1.31-1in3. (a) Calmlate 111 m transvem veher ufflr pm'm 1|:ILBIEd. an: = Ianixh ."2. {b}... AmmmEfigdathummistfingmififmmm. mmrflmgmmremaed mfinqmncy I:EJI|1HEI1.EA,BM madly-1gb)... P8112151 Calcula! 1h mung-me veluLinr :Iffl! pndm luuudat .1: - .hfl. Express your answerinterms on]! wrinkle: t). J", A, .45., and mine constant». Part B CalcnIaE ti! moansme amflemfimocfflnapnjnt locath at I = Alla. Express your answer interms oft]! variable: v. I, A, A, and amopn'ate constant. Pant: Wlntisttusanplinaie ofttnmfinnatttnpnintlocated at: = Ala? Express your answerinterms on]! t'ar'ufles v. If, A, A, and afllropn'ane constant. PastD Hnwnmflltinn dDE-flflke'hmh gofi'omitslasgstqs‘nrasddjsplamnmttto its Inga-downward displacmxmatttepntntlo-catad at I =Af2'.’ Express your answer interms on]! t'ar'ufles u. If, A, A, and afllropn'ane constant. 131m“; Calcnlfla the WWW 1..1!lI:Ir_tt'_I.r nffl! point Inutdat :: = Afd. Express your answer interms oft]! t'ar'ufles u. f, A, A, and afllropn'ane constant. 1” Part E CalcnIaE ti! moansme ammmfimocfnflpnjnt locath at I = Afd. Express your answer interms oft]! t'ar'ufles u. I, A, A, and amopn'ane constant. mFartG 1ilflatis'flasemanateoct'ttasmotionsat'flaspointlo-catedata: = AH? Express your answer interms oft]! t'ar'ufles u. j, A, A, and afllropn'ane constant. AVSWER; 2,1 “FartH Hownmfllfinndnfiittnkeflrsnitgh gofi'omitslargsrqrwuddjsplamnnntmits Jugstdnmddjnplacmatttepnintlocatad at I = AIM? Erprz-ss your answerintaccns oft]! t'ar'uflas 1).], A, A, anflanlropn'ane constant *3 Part1 Calcnlsm 11! mung-“arse 1.-1al|:lr_it_l.r nffl! point Inundat .1: = AIS. Erprz-ss your answerintaccns oft]! t'ar'uflas v.1, A, A, anflanlropn'ane constant ‘El PartJ Calcnlsm 11! mumsvetse ancflemfionofflmpnintlocatad at I = MB. Express your answerintacms oft]! t'ar'nflas 9.1, A, A, anflamromiane constant “Partial Whtjsthaanmliufie ofttasnmfionntthapnintlocatad atI = ME? Erprz-ss your answerintaccns oft]! t'ar'uflas u. f, A, A, anflanlropn'ane constant ImPartL HownnLhfinlsdnfiittahefllstmgh gofiomitslargstqmuddjsplamnnnttoits lugstdnmddjsplacmmatttepninflocatad at I - APE? Express your answerintanns offl! t'ar'uflas 11-. If, A, A, anflafllropn'abe constant sum-run; 3 all lama (sol-rumba [100']. avg. more}. 1: or 12 pomln ...
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Assignment2 - LinIt_P hysZ 3D E_5pringfl9 Assignment 2...

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