classical mechanics notes, Lecture notes of Physics

Download classical mechanics notes and more Lecture notes Physics in PDF only on Docsity! Topic. = Date | S| i > ama’ ((-ws8) aL. mab Ln + mage Hind 6 90 4 (64-6) ) - [07 bnd + 9 Sn] 0. dt fe Tie [ae 2A i 8 (i- wa) tee as 8 Sub + GF Sn 20 2a ([-ws0) + & C8 2) 4 Ge eo & an To Potue a Avbas tite ez GnB/> . E ane a fh | ' = Ge = ' fg R mn [5 u Gf, = A OTe +B, £ We ae Dependent potentioka Oh grmge eprahion on be pat in He srm 4 (3) ~92 20 at lag] 99, iz 4f Move 3 polesbiad fumchion fe bre The fopas ep Consev yah ze ppemdlel dh pote | ns Obrfaimsed fe a ofan chin U(4j,9,.) theme Qs -dU 4 dL fw) m% #1)  7 : Us 9¢- 9 AV os t Ee lov? 99 + AV ade ei f Af ae 3 d | mk 4 mele a (e } dt ae - =7 4% hag ox i) ae f- oR ——  > muy ft | 8k Me — [re a om  Oe Oate Col Gules 4 Vaviahions a ale tna Wena tee how to denne fh exhemum of Odum chon Fw 4 fmthion Bore variakte the taltutahon As Aheoight fecesterd fea funclin 9 mere hon on ee! Pas lends na Ab Bhrenight- fovnserh OF on 0% top every, the maline j Mh marion as abil H lag. @ longidsy 0 fanchen ? two yayiattrs 40,0). Than fen,yy - fre, ) : } [otf +24xay ff pe oe) he. (42+ fy 47) 7 bun + (4 [ fay= ie m \ a Fv _vatwimn, We reauire Lhe fom) = fre 96) 20 fm 2 a Ql 4x Grd Ay. vefors, ae 70 id (toe Sm Be grates. _ ofp oe) Coes emer ton <0 Fung = PS <0. wae ACA) =ACu, 5.1%) = 2 4%; EHS Poviliva deflnile sue ra ks | 7  co tan aap a Lagh 4.2 Bm rpc es pote Ardtrertid ive resect ing [rh the Gon & Pr 4  a Cs ay eae ay! Z CH y’s yi (A+ yi?) Petey) yo (pet) R* dy. Ay (A-ey"™ Wie Ex ae @ Ck) 7 Pee Palsy: runt Ganda oe en phic Conaidur d [di a Bur og! OF OY > Ae ax \ 7) A [Pay ax |  Topic. fy find The loge, Grave curve owt 2900. _" dks 4 dx = 1 [ids ay | Ls @ incl We Dele enced ae Yetwourca rom Oiyine 10 thet we te wile YG). Thaw : a oe Y(tz0. md (Ids) so  Topic__ - ~ Bite es hn fay) ol Miteles 5. Re San. = Hen 2 Seve ( 25 ) oy. = bo er dé ; ah ia i a Ass dx ty dy? Beet Se Ae = oe © 2h 2r - fo tek fo et Seay an” OF . 4 [9 )\ Wy, Ax (04!) (phe eal Bese cats ire Ay Xi es ha) F. P(g) 08 | 2 a 2 Tk OD Xn ge f Thay ‘ee 2d oy a OX \Oy. 4 oe  Topic Date Lagrange Eanebion fu Ne holone nic Conant | ie Agtlemc with helenae tomabarid Fa Acpemdant= Coovdinalio Gua be elivninated by _snbodiscing queraliced fovea. Tf fe combat OP keen ps ebro, failc te work. “Hore eu no aad Bg tuner) sated to tobe mim hilonanie _conshaind, Only aut He wen holonomic Conchaink are Moron sab x defaced form. Goon aliindle lee dale desk eavabels by te weed $ apoesy mulhytis. Cowidur a sips 3 Ca vad nat av (O) “Ata & Aug dh 2a ay ioe © Ary dig + ayy dt =0 Whine kad... ke Oud si) 2)..) 5S eee Hath wierd — be Jalil A mm. slog Whal™ we dlicuvea below ais, wat Apesd onthe sSeqpab lg as th eavahions ai Thue fine A spplicie tp a Men el mtn huboycinatic tee The muethed 4 logramae maul pli vg cam be weed fee het —_Coabeaink af ah As Ursinciend” die Com) went fo veda Po inde tr Depordent- Sys at sdaalt be Keep He LG wAhs yrs + y  = Dete We Mont pide the Laqramse sca uabine ¢ te five ee el 20, Virfoal Asplacnents a Gar bef ly 4 ee Se Asplactentants we tnbeduice Hu Legrand raat eas Ln jens rae abe Bnd 9 He « ihe! Hee ae dined iu ao fol 5 mee Ten. The gaat egvakinn (Marden fo x f Ez 2 a> 29, = “ay Veh : These Qu colled Lata lames — “Wrefore = il Dov 2 Vy, 54, = | net + mM 2 a2 re Ady O9u 20k Vr A= | is hie aubhack fs _abone tom the Lerenge tquatin ag - [ay \ =: ar =H pn 34 os k wT [| LOS] M see ndupindtal ones Brarng th Comabrainis , Ond_ m indepewedoot a, foe He dupe ae wll sie froma Ved fo £- "Ge tee a Gt Topic. Date Hh trdin Ul sn fom oF = SH1_tome Vi tte die died 4, tn ceeltivour 9 84 » one ach — Thad Arg Me A dogproonge musth hy Cave be Chen bem —Oodl ROME by ft A_tonabraint= _equafions: Sint Oy! ea end eee Be ea Aline Hon de Puch, a boy thas z 5 4,2 4 (0). oa) Wee al At \04,/ ‘O4y Wohich mies fy Coedhimr 4 Sy, Ye tS, dni ae fe Dea v 6 ale} 2 oT a = 2 ieee ia 04, 421 nme 2 [a for eno ae Ve S44 dt \ 04, i} OTD Thar 59, xe ro Longer 4 (ae ) =e Gy a Ne Soy Se ve. Ae Wes eg meee demi ive Name = if ot) or E04) Ae  df Bee an ; dk Vag] 99 ae —— fof - at ati h-& eee Soe ie) = Daa 1 r a \V0F] \ox 7 A = et ge eS eee (f=¢¢")= 277 RPS oO pa i" a M2 +mq = -Qr Mie = \ ns | & y Gortinint: 2¢ Pp — a2 =o. Topic. = kes __— Date | Gated Fer Pablo ke WALL nour ms: ade Pegslewe dns polite watchs nae tnlera ching (AR each of, vin A pose Wie arloncha-. ery, 5 oo | free aKiske dm the a hs fiz demote te fer me pikes t dus b 2. Geral Sil yy = VV tos = \ . i  One boars  Topic. Date. f. dé = {2 ae: J 2 Factceluk (nets Ninsatnd problem: Eee re 2 mu? 4 Der, (v) = luis um 4 wy > ve] 2 | e- Zuy= Veet 2 4 2. 4 aa is ig ‘ yr x x jf E\ ms ] : bl ta : g ‘ ‘ £28 = Fr om Othrackwe dnwene Laur _polentsol fyee :  ————— — Date - Ay | Comi dae «Me inch al ees Ea! (eu hee ae dishanu bebe Ey | Owd Vag ay dom x ~ dnd brcoms Quo ak the furwing point Y1: Getlody ieee between EF, And U(r) As dmv? al~ L ee Vat 4 ve Tey Bn ite ar Pitre behren UW) Od Oa, ) OF =e aien ¥ ds dpe a | —Hafss—a ptit_ fm sofia Se sepia ~ pede a aes tee Sparen ES roma He rdw bOhowow hoppons han E<0 , thn th pactere Chars es dvd we have tosn hucning, “poet Thais doco net wacseramly Woon OE ae ee a. Saas Ce as — jae do = rat: ft 2 (2 fee Us 27 WV _ wh ane dB = hae y WH EP ef 8 Hy fp [env than] he Cay: ate aL 2 anv> J — E-Bp = £ re : a m al nie Er  (4+ 262 ae ee eee (a geE\(* Me aa (is @-) = [ \ J es ry (wk ; | =  gee N ye 4. “aes zs | eee fo Ax J ( 4p t xy  pie a Date at tip. k F* An fe) = brie A (te) + ne dda fie = ww A ev WR W>-3, Tanefore, Bees, hone attrack re pate Aba vari yore Mal tee Te Capel 9. » abi net foe alt valaste 5 SE the Graber orbit as stb Mer a dmall sroreae te Ue cnueney, aber, the value fee 4 Givantan Otbsk Wendkd reel 4 oat Abe hae viiiahen be 5. Phe mobi , far trmrale poadencthitn wold fend by a Ainegrt Larnuoes eatin A the notion omnld be use + a Ce Be. When Bs ding | i dy fee. eo a Z New, Opp {r) = Ul) + A My a crear Ulm45) = Ulo)+ F dul +i d Whe, a dete oP eg : 2imy? 2m ro 154)  Topic. Date. oA He | 2 ed | fase: F(Yun) 44 4Up ni a fe er 7 We tey, ADs Bae et at aa as vedy AK Ary gale % a & A-B* = -2 Ue df)| ar] 4 g* & FC%,,) dr ley, oe Wey, --2 #- 1 J se eee Yn + (lus) Ov Weg 24 dil eee p= 3t q_2t] Wax + tartare He the prthunbedion a Stiwadt te ale pee eo form we 510) - & (apo Wet Ao Har Ula) = Hot O Co BO. gk form ty -  My  Date. Topic. =O. Ao thak pe how =p Pry qa 14 ha | r ya <= TT! Ac AY tp Te c AO he 1 Ane 20, Lxed ax  | ‘opie Date. — | Arnale bativsin Admd FAs 9. —hansflee t0¢ hovee ~ Aire Ae (ord. = [Pri- mu #1 L ine > A(bxt) — mer = tute Av (ox = fail [ ‘ie i if [mk + Awol an Bes: 7 t ——— r [da * low]. 2 Pare a me. I an. a = [At los] v Az=t A=mke wk Fir He Waplr prololum We heme 2 A Realer E Corotndt. Ths a zg Conservecl Gwomb bea tine Obl. findap Onda quantibivs (6 Ord 3 Awhial { Shin Ons all duvonbe ft  ew OD Topic. — Date_ =— —} Quand bes Csntais — the atrfermation 4g thine Fhe. portic ni bowSed dw He. orbit pt The ann bal hime. lence Atre Com only be_-five | dndupundool towtlanth 4 mofo fist, i aaa the orbs. Towcbes, ob) lk 4 the Ginsrnitees crmeti 3 pee PCE a pe “fare smuncl- been G freed a_i Oe puch relahim as AL <0 nd oft. tere 13 Azsmke = mu /A+ 2EL* V mer Qe hee OE mK mir pe See =] ] Vehicle [- S35 & ageless on Creepy haute Spee Bogs lind veer eddo ene wit Baie Lid epttrSont ret rods BaP ra Pe ae Wy 106 Can vide howe a doplacs Loge hiya _vether ee feo fang fore Hows Peeatt Mat fu_tory_ ocho poten, Hh tebi ony WS he clot how Ag A vers Abvintiuh tondlsbion nests fone 9 tk fovee Laws fos oe he rithms dni: fo A tel BA  Topic. Ss Date Sie | eangohay momentum — Fes = Az mys Om) & oe ue 2 dm sg" Nos |2E ea Azs]QmE - Gomes E oud A Glunefre 2) te fixed, Se oe a BWawiwed. The urbe 4 pods Det eee Me Fes ne An. Maen beluem Gand os wast be Bat te th, wumker 1 particles Wide drepacl Porat between AB Ovd ntds II sdas = 2o(O)T Sn Ofde| The absotufe Aigw As dntrrluced hte nuce Uae ita bt rn: - porbche hoo fo bo posibwe - Gye A An A flan Bio 4 UO, E) D eo oe Toe Ss iden | ino le0lf Jc Se = Josh s ea x \ Qa gy  es o 6 \et? Oo s op, Bs &, +K Rs and P= d+ Os 2 due fe_dimptifred \ eberbiere Hiogerasee thease Mi dreidimee Bagh ie f i Ee i 38 ip ali+ i p fo thar = @=k+O0 GO > 8 und G =x. a — eS ee Ok . = 2 my 6 = &£ de= [w(4 ar 6 = & es v= Nr JB EUs a Se : on ieee  Fp 4A dy foe # fp El = sok V a aoe [2e re vee LG aS a eas SE Se U(r) ae ne Ce ne i Be [vAdr Send So Te Seu) Mey (ae up\ a2") JP yh veer” ea st EVe/ + he ; ss Pleo tie 2 ae (4-v@)) >], Ee Moeeey, J You = ai Al dy 2 ~~ {i= we) ae a = a ae is v (Ly (rot  cae Y  NWA Oy S| nap ting le a epee  Topic. Date. ROP bra ete at we ate”) Z b = & firer os b vee P oe Ea4 Te only apes wth apa gle tos 0 aA ak & dicdunes The P/o: Pine eon. k 70 f ty x : = P Ja Ayn(i) + € bag —_ 4 aa — a T Bre am 7 me  _ Date isl. Cot e = QEs > 22'er Ss 22e* Get fo ‘ E 2E __ fee lie) Sn q |de| = a z = (22) Cus O/2 | Cosec * 2E [2Swo,, GsOp, 2 4 2 L 6 =f ze) Gosce O/a. y T {ee a  Topic | Date 7 yor ir Now, we have Gobtluce De acotlewrg | wa AN oa ca Dus ae a ab oe Baia reel : the Aaatlevivg Teafee fon dee oe dw Jaca a Vege ee ewe = ha caster 5 mes 0 ts Me Gams. a 4 7 7 ji t ak. = a! Para The Seatlewing ovegl Aine de tabretony froma the omgle Artie |e fim ae eae —clinechin 4 eae Loe His hak rome. On th ole hart 6 4 fh | Caleated fram The equiyelint” dine bedly pra b lon ie | feral 0 ove) thy evi hr WRI velahne veckr Aehuea Be_fwo pestiotn dee tie tom frrwn “Tha, fhe emuvatnde Ore doliy protien date wir fuente a relation bubvam @ 90 oo. Te) pellets te relation betwee ee ara we. Aosinale Apron te fhe dale frome tnd CoM frame « — | +. 8 te The posi. as velocihes 4% abn. SCabtevirg a L, ote eer pochcle de the (ab freme a 43 Ow Ih pect him pad veleathee abt facie hepa 4 | patick maw fa Com fram. i | — i > = = = me Ai & Tew eke ¥! R= My 4 Wy YD Cv tmn) ‘ ae 3 ) Sele i yoo yi te ve inne ( hth) MN, GeO = W! Ge @ w' Cp (0) + v = Vv Gane