Resonance - WPQJ mafia-n , the. diofimm Whig”: an an,...

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Unformatted text preview: WPQJ mafia-n , the. diofimm Whig”: an an, conditions (X M4 )9) . X. z. w 1’" M2) Xf ‘ w 1:“ S(:2 “if/3‘“ 86 Driven 0 s ci N are rs The simplest «ample £3 when a. Lamont}: EY‘EWMJ Fu-vce (3‘ applied to “a OSciueJ’or, “in total Force , F: M); :-Rx—b§+€mflt =>> hh'ut‘013h‘ [3:5 14:5, 7'; i; This is u- Jc'ffmh'cl Egan/You. (The oral?“ In: the right home! side :3) IF we «totals: know flue Solution. to age Ito-nome Gyud‘a’on 11... Xlt') 3 Con-plenum.“ Fancl’ifla and , “0 CM Final a Pwtezulw sglul’z‘on to It: JJvu-aoseheous e’ual'ion 71¢ 20) = vzr) Puma!» Inflated Then use gene-rd Solul‘c‘oa. 15 lie élnomgeuevus WM ‘ Y0) = u(t-)+V(r) Guess a Pamequ Sow?» )éfl’) : D Cos(ul'-S) 15):“,(‘ue X} = -wP Sc’n[ut--8) ¥ )6", :r —w"D Co:(u£‘-5> submtuhhg fife flue ckhomogeneou 97M“ ¢ - 1]? «3(ut-8)—2flwpsin(ut-5) + q}? Conant—8) =3 A Carat 71m are dcfimt m3. (am: 0.. :12 (.p- aul ‘rakt’ Sick: 0F flue eimfc‘an. NE. cu. WMI comet—s) am! saber—c) but .22; may. £3 Aeoswt s A as (mt-5) +5) = ,4 ¢o3(wt’- s)co:8 —-A In; (wt-3M5 we. Can. Compare aeflh'ca'enfi a; Cos (wk—5) anal 3&(wt-S) . Comparing Coefficients of Co:[wt’-$) => -w2P 4- “cap = Am: 5 CI) Axius = 2/3wD C” DiviJins (2.) 5:, a) => = tans = "p - 2 Ami {31.479} ’ «3,4329 Ml “Uta, (I) can! (a) => A‘coés +A‘sa‘s .-. A”l = 72‘ Hui—J7 +423?) D: A ’V (woa‘wa) 4' W31“: Solution to tie geneml’ t‘n’lmeheou: 0204'?» it x“) = 17 «sack—S) + e'qumm t+ Aze' -u‘ e] 4 transient Effie“ aml’ 609 am: cuff" Fine If M if Some Win, Me» “2. no JUL-0P3”, (a a w) 90 Small dfifip 6" 3 p (a. = (or?! ) 1 More clamping (a, = Sam.“ ) a). 60" of the nsonamce curve t} similar to an. 03c; “afar . No RS”th occur: 119/31) «L1 beau-Q "men 6.),». is imaginary and (1.9 midfield P jut «(greases mums“!!! wilt $020.33, a). flinch: a” If Jrfl') :: Acos(wl'-S) 4(9): '44!) +65%“: Men gm = —w'4$£n(ut--8) ~/(%'- «Ff-l- 93"” K: = 1m?“ .9 «f .21 new) 1 (($1.40! when (:3 “is a. mmiaum? Set' J <K£> 175 we 60 = 6‘70 :0 $0 the KE mam'mm «cm at Me Mud remnants Pew} 0; Nut :gJ'IEM . TL: 5‘04,” m‘m it Wis-J 5 do of “e unplirué } Me! So occur! gl’ fie Mocln'fi'cgl henna.an Gt’ueu63 ‘73 i 94 flflSOICOJ Sade-Ms we have WAJEJ Our Simple human-aft 051$”qu mode! to fiche“ dampinfl , Mac! otciuarc‘on and “team 53 conl‘uXuJaa l’o flux" ofi a. meckmicd Model Suck us a. spring system. . "anew Ma Sol-ME M&“M¢.¢Q( (on Can be, mad 1’- menu: He 53: (mar , about when M For“: CM 60. cactus—«N radiation 309,15“ ‘5 q. (user , ancl 1V8; nuclei who! “e chalc'Wdch nucleon: Can be, Milli 53 Mona»? medal: anal elk clumping processes (on be observed . TLe mos? Common nanomecham'cal oscillate” system however occur: in electrical céculh. g (ecl'rcho! On; (In Hons 75 Consic‘er [1e RLC circuit" R KimLLoFF': eyml’c'm L 80) '1'“ *Lclc' — = 56, 2t '5’ ° C X + 2/3)? +w.ax = A cue-It mnfi=f «hag-é A35 "“ m M11. (Base relation: an en. write 11¢ r0216 7; For Various Specie-i (use: 0F ’10. RLC cei‘cqux, l. Undflnfld, and-rive» «:0 E = O ’ 77.3 LC Calm“? Cmerpon-J: LE C [‘0 32mph humane}: M0113» Eng.” J: (.5: 4. Me mar 94 me 3. m ' 7 LPEL. tin-«en R750 , 8:50 7; g R 716 S‘l’QQtlg "Slat: Solution ‘ “e. Wtc'ent e have Joli Aug! ) wt: :- )((l-) = PcuKuP-J) “*4 (ins = 1 ‘ ‘/(.,".'a- Em.“ ~.'-~* ‘78 Remember ant _L = Xc [la man-ye u C reqcfbn an an! a L a Y‘ fi‘dtfzf‘.& and R1 + (3’2. _ u I)" = z , (7. e cee . 7? EOUBIEB ANHLYSIS IF we have an arbitrurg {lunchén F(¢') that (1' Periodic in time win. 0. Period T 122. F(t+ T) = we can express it au- M “Fa-[h SW5 of harmonic (Em: F“) 3 2.06:. cos mat -I- bu Sin nwl’) [00 Each up the terms ‘3. IL: series Sah’sfi'e: the periodic Cong‘rc'an because 00 = a; Co: nu (but 7") = (0361:»: +- nw T) = cos (nah 2m.) -.-.- co: nut 71101 also Sartka “Q "kid Grunge-mule}: ‘1' Cambrian: I " 5“: Nut «smut «‘4' g 1‘ 8m 2 o 13} Roof of Wanamaah‘.‘ Conclt'tc'ons :- c” ""t a” "wt = J. Cox (R+M)N" + as (buyer) a When we «Shanta “IQ term: cm lie. “‘31.: haul side over a. Camp/cl; period (la, “((1 MM up l‘o Zero except for “2 (EM cu 0 Cmspouclc‘n, to nsm . 71:} “an. will uzl‘egmth ’0 E Sandal, f... Sinnuffie'nmt = {(uéwfldc — mfum)wt) Au (in-u w’“ «Visual! to m are”? For nzm 3) Ahl , (as? ’ Cos nutsin not : é ($¢3\(n+m)dr +%(n-~)ut) over a Campfire period hm: «fill Sm fohfuraun.’m l [02 we, Can use “2 waoaonalc'ti Candt‘l'ion: ('0 at! Coemc'u'ent} Q“ amt b". . Fcirsl’ we Féd a, : we. d‘feamlh bofl. Iiég of fie, Raw-6w series over 0. complete penal. A” of It! 50;! M4 COS (inn: Sun to 20-0 over a. Conpll’BTPQrCOJ . Me an . 7’ “"fl' SFlc-hlt = SQ-U’ = 307' ° 0 we “same «oer king.) 3. we. how! a, s .1: gm)“ Non an I Hun?“ bank 3&3 ‘1 C03 nut uni «KW over a. (amplel! :3) SFII') Cos an? «R r. 037' NH aller- o 1 Clan: are 22" T '- an = 3.3150) to: hurt J: T C Sunng .,. b“ = 3;. F(t)$£nnut‘elt' 0 /03 The [éxl’booh- gives an example .F a. Sawtooth “trio's:- log. T 1’ SH?) 605 m0" 4" = fies mat cit _ Seas nut alt ° 9 o 2 f . 'f .T r: .L [gman -— .1- shunt] n” o n” ‘f = J. Sinn'lT-O - SCHQn'IT-l- Stink; nu ‘ " y“ «rug—1w“! a.“ are = 0 g an, = O T : Saint.“ - Einnufca“ o o A. I 'r .. -.!.. [as nukf + J- E": ""‘J m o w p: = J. [as an-casnTr—cosn‘if-bc-sg aw Ernzz,q.,5,.... => zfip’l “I 4-,] :0 F0? '1: ',3,5’,Oooo => T =flD+I+I+ [1.2%, =£5 Nol'e that “on? an “OWI‘ool’n new (it Jciugl‘u'ma‘l’fl , No anng but may [arms Men 13’ alt-has an OVQI‘Slwot. I I? (3 8°74? X Called lie Men-1m mm». 2 ...
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This note was uploaded on 03/19/2008 for the course PHY 321 taught by Professor B.pope during the Spring '08 term at Michigan State University.

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Resonance - WPQJ mafia-n , the. diofimm Whig”: an an,...

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