Appunti Lezioni di Meccanica Razionale

Ir"""'" '\ \'.w ~,

•...lTC k;t>,r<:; ~ \'1" ;,<'>1 i\1"\1!-n' ·v1 \~ ..•.Ki.. ,A k-l: ..çIR\ h= Ul1\...\' --~, l' ..le'R. .;) ~cli- ~ e-,I\ì ~\~...(. i ~loN1-'I IH", - ~ (~ J ' A '\1f:'1/// Il'I l' '/1/ d~lnjh Il IIIh-rh ~ lìD.., r.ln Ililll) \.u JjqJll:ll hIl h,j.j.p f. c\~[ ,•...l'lH r In M'\/I (' h/I '~1i~.D-IlI _, N _~ _ il'II.•• ~,..,.1'<11' -- . f-.... ~:":>!;~ b..( IL.t;1'3,1- •.... I jf'o (p i:,Ih "Cl:'-.. ~~ h 1-+ O )I :lr.~\of 01. 'Ili ~~'" , -\l Il\ -"l-I~I ~IN -' -R.•.•I In.R .l-- ."rc,\.r, h.C.l'; .11:>~ ~~,1\. 't'cI l(ì~l1 •... \f- n- t lo hIA Ir. h~ <': r--\Ii MI II -.---,.. - I' i II---. t- - -..fH IR 1'I~HI- I~ ~- -, 1- r~ rJ ":~ if"_l'> ,)N II. -r-,.... (,d .0"':"IR f\. ~M t.-C 0\'R, \IC'.,"'" :0 Q'r ll1ùCt'O'lif;U t'h, ,- .1\'M,~ .. n ,- .....1,1\\-tt 1l l'T o,R lU c !l+- i~' ~ I\! f:\\ fINh_I I ,~- :r::.,,R ,:- ~,,",I:. ;)'L ~- .c ~"-.::: ,1"1}~/'\- 'fVtr.:c I-r i! ID j~"'1..1; R- I.rnf;>l" rl.P iwtf',1;/,~ t-,r. I~lo· \.., ,...- :cfIl. ,,' t-f~H l/Q: bU. 'IIaJr.il .TA. l I~n!, ~lt'l, VClIn e:tI{ J/I ,- I I.-t ~.tu c ,\-,)N. ,\.AM-l haC ,e)~ I~It:e\C :-lIh b\::) i\\.(' "l l)p';.;\. ì\li ' r -\'\ l'~.,."..,:.. j.l.,'R. :;...- {eli)1 -)" !u:l,l!\.\.u ~I~ lA,':t"~l"\\ i)u~ b, on ene- 1'"'l'~ "'\.,Cl J ,t'")ICl \ - ,.,....,',,,,I.a' \ - l'h~j~:;:~~u cl. lI' l''\('.l..-le- •. N..::.:'-1~ I~ ~~ ~ l..(:" _C',(~\i C,()~ -'-AIl'" ,~ ~n In ILt-AIP i) Q ibl ONIIfUi !, :&l/N IIl li!, ..•...•..~ ,..c ;ll,1Il"I I." ,dc. (~Ot,h b(1&irlm bì:\hì \ t-.l Il"'\~ PIn "7'- ho'""'- U.'\ \~~ .<.- nlà!c il~V ~- dA.o P-.- b,p' I-o~ ~ ~ IlO4- \1' Ilfl lèlE 1("c. A~() u-r- R~1'-'" .u-- ...-I(l t< '\C R)\ .~1\ --" lo .~" ~p):J.,,. !-t-: "<:l -D.' ~ {fa ..Q(11:>--~ c: .<: ~~ ~,:t "~n talI~·br~\ -\\ "\(~C' clt' ' -• r-.,~ ,- "K.c ss~\- ~I-~ raeJ.J.2. 1.1.(I~ (',Ir f\tUV.e< &~f\] (1)[11 ~l tetAl tfo 'Hl- 0 le't'òi= '")~~~ il~ -tt-, ~«- .:riJ,.;1. -:}JJ.. I~ rJ:I ~I 1M- Ir<t ~~ h ~ Irlf~ ;) InA-tJJilV\ r-~ \')\t)(l fl~(: l ~llIilI~~.-1''(" ,~:JI~ r.r.-e- Il-~- •.~ fl,lO •J71. I•••••Ip do '" .I ~M<~ 1 ciI1l t./f:L ,~' l'"J 'J ./1'0.I••./' \P (":J1f~ "/Tir" ~~-~ .-r ,- ,.'-- -'. . .. ' ,' '-' '.-~ ,~ :- '.--'-,'-- i-"- . ~ -'-F-'--- -""""':r-'-'- ~ f-,---r- - ~ Ih';.r~ ,~xil '/If ~1JP. Arh L~Ilt"'1t~eil./"!P'-Ir. Id· ~-lT'1. (?()~,Ii: )Q';-( (lb, !t;l { • 1"i]~ ~1"'\,1 il1 ' CI I " I'(J ,.,.1/ tJAJr I-. 1\-, ,> f.•..:-,\I) Il- l.A.p,.j (Il' II~h is:Vi :~ ~ p,..P A 1> -t'T" ~'V,J;i ••• o"Ji:ì IJ T'i/ --I~ I .~,... n le..cl". I( < i0(,1=' I, r--:, r1 '\N s»il J:::lt::l J11t () Ih( '" i- I è.\..Iç-te. -\X, tJIG 'LI ,..It.P ~I IlA .) ·o) /( ~I J \t• }~. clO~~1 "Jc<f- .•. -•.... -v:.{~ .u.cl' \ -: f)"" - -e\'«(I~ ,~~\féo' ,•.--- .1r- N'" 1\.loVr '" ,I I" r-I-.h - Il,I(~ 01IIILi l ~te 'UIl "fvl Il ~ ~~) 1"- --IlA"t' l;;:f-o '2-(J .J\... . ..•..= Il1.1='", ~IIV'"' \:l''', Il'-"ò'" 'o/'-1 '"" " -::c-\':' ,~':!:!l o~ l dA,\J ~,(= =' , - "" r- ri- • lA,Q. -If' eC )~fI ' '- I-\I"<l s-t"-' I~~~ ..,i-~- I 1-ì\~ (:J It<1\ ~:1l rr.- .,~:- re ,r!l\: -~ Ilìi:1 :h. r Il / 11 d ,..,:j", UI ."'"- A lì -,-/Il (..1-h-lo ò- i-~ - {.\ ,,~l ,.) t,l"..V_ ~~ t ::!)Lù -- ~ E_lI.... ....•It ./,.." - )(fuu IP,f;t: .- Il - '\j { •..•.~o :A- r: r ;- Ir- l-ç. ):>T":.;:'\l '101 :;.,;,L~ ~r H"' rer-, If'ç. ~i1I, 1(:tR-u I~~:\ o PIIDI /7 Til ICl ~I''''''''''(.} -:t~.,ollr ti l'".Il'O ?,..1 j("j [il,''@C'Wl LM.J~ D fì l~Il]ilA .. rnuo. Ip c.OV.r? h inJ(~IJ • PLl ~~Irl. (; L l"'"i}C il IilJj !Il 'fr: llì (>('J X~v ~ '1" Dn :.(. ......•v: .tt) IId ~, (~'",,,\I U),';l.,.: ••1" I\r"r ~~ 1(1).::: '\fr.:l!--qj 1\'rJ -f"'IP.• ?'.'!1"\ f.l'1 ." " .'J-. " .~.,.,."~ ,~~11 . 14,.I lA!ho .""•••• ii'rlll1. e~ ,. ~-e..t'J: J..t:5.: .....,. r: Le~.t ,;,~ .110, Ivl'Id u:'I oJ.. b 'j'1 In lu loo ~ ~h ~) I~.l'>-l.J..n:\1) ilLi'lN IIU I C(j(l' v,.A " ,,~ (.p .Pv ..t, "ti~-L rn.1. r-C': rLI lÌ\.. ;>../1 1,-In () ,h''\A 11QCl M'l' l,,ru- ,.]~ .p h-ir, 'Jl,() le> fh( -)Ip.- (~,(') AD !P "l(,lil 1111 Wl 1,1.11./\- -' .r D!L.0 PIL~I C "'.-1- I::r.11- ;•..1f. )0p:>" p, l'/~ .j,ho (bllh. r«,1": ç-:rrl~ll hi , IP. hJ.lìoIliJ lì '"\lA( M" 1, l':' l'l1 IJl I~ l"I" V-rr. 1,It, ;:,I 'P,''' !\p '\T •...•~ l\D;>lli (:lél ,1-i ."\ ..j- )l ( g. LI~ Il\. ( .\p?,'Il ~ir 'J<. \. '/o, D.. mltU =-r 'r.'A, ,711o -;i' 1/,,.ho>r. ~Jtt~ lrlI~"ld pj P, ) L,1 ~ l"(i='IW. lP WL') L rC\'I· !) i~ [)01 If ,,~:r- (1,r.At, - ..•- - vI 'U(~-I) Q(P r: QI) l'I (~I)r t/'"IlF>IH i\r".t- '/I~ .~<;;),!.c, ,,,,,-Lo.-- L.., 'r>p~IUrl' r-) -c~\ (~ ,di'\J (' JI~ -p.", N\C~.i, '"'Ah ~c tll.. I ,wrr2P..... o ; 2-th CtcIP- l,{~d Vl (Wl/e IpeI:>~i1 t( b Ib:~" ;'!'Cn"ìC:>./ E'_. ;~b ,\ e~ié...( cL 'li. ' <1.'"'..s P-t'es... /u )(~ t:tE !.~.. ti' .'f' .,~(\~.~"- 11::.1rrT\: \c., . '"e. lt\r ~'.' r-H\. In, ;). r:\ Ir, r-\ h~ "'" rl l'Y\I~M~'; -~ "I!"\ " ~, -, -\. rl',.1: (.e,-l'l'l. (p'(\ ~ lll'~i:d j'~ S' ( \).~.\1\,- ( /1 ~:::,~, - ,- i~r "/l° "-~a "<JI, ... ,,.., s:....n,t'0 "L'Q,;::-' [;t, \-pIv '. 1,1 .~lo,o c-h ' "'\1~ c"Plu' '~1 I~('Q l I~'" r)A,oQ'lN Q~ij[' ."-I: I~. .r,.,.fr... ~~ ~.- t.. . e.. -.:'\" ?,t:.\ , t1. l '.t b~.~ (I )?c.? I\J. ~ .-'\'}f1~, COiI: - ,I..r:.lA~ h. \')\ \((I •....h;: - t'.·"Il _1'1'\.il .• .~, .\'1"'. '": ,'" .•...•=--4 'J-, ,\r~~e oO -=- ;~M_ .•.. ...,.. -\/ (çI,\II 'I - {\~I\ I( ,-~.::" ,{'i('II rIOf\. ~\'- \t're:. ...~1('\1 '.•....• "-'ç, Il "C\ - ?"".•...r--: ~ II} Ii\.i") e-.- J~ 2-I~ ~\'VI ~1,- p~,4- ~ .ç>, \I"I IIlP li\. ,)I IL.. '-i!- I I I I1- 1~Q t .- DI -ih- (,r.h secc.u doOf-nl'l'ilr\ . I,.. ""'hl"~(llJ,.1I1\ fJ I I I Il'r . "I '\Uv vj., fl'" ~ : - 74 _ ì ~""I 1rjl'U' . \l I\J':. \ If'rP.'\ ;. ( (I -(=r..tA Il] i - <>I ~ iC\ • I~i" l' \l" 'r.'~J, ) ('{'_l) _I(),.o. P _.::. ,.. l''' .ç, '\...(,,'C ~1.. ,t' .. ì -'. .. ~ • IP ~\ ~'" l-r-, . . I-. I'J \\ jrr~ i'~I-'r' 'I: fnl,..~_ Il ,r _ - \j) lì V1)'" 6,,, ::rl ,•.. IJ~IL -Il, 11'"_\ 'IJ" Hln:::0 iJ{ '\.'/ U .,/ '/rp _re.-li? Il. -ti" od. f - I.••• •..l)'li' 16(Ip= InTp b-'" r/I""- -I~ I ,\ I 1-1,.J .•.. ., -".AC, ...:\ç.. -t..: t\:.. :~SE "E.';;). .:--\C'I), ~ \.. 'i\ \1::'\ :-"'1\ ~ ~ CO'L~'" ,A .•..•~ .,..,~L.~i.':-... :erH" IV,\Y:itl. bi( '.t "f,NI>rI iL' . ilhi \Cìt"I :r .Q '0IX~ 'l'e-~" . ~" '..l '~..,...,.. ,,,, ..,. ro-".•.,) r,,\, h ''l'. -\ t>.(;:o:(le\.\. '"t" .1.' '\.-t -t', \.t' \.)J'\j\) ••. ~ .,.1\ ~( IC\ '\,l' I, '""-\~ I .•....I n:!l.Ct3, <\rr ,.,-s>OO (l~].\r lA. . l'QIl ~~ ",,r\v: ~ul'::'~ ~.'ti' tT).•. - "Qil~:H\ Qi\"1 \." h;,. ..,;ro.'~ .c :\.~II .J. sr-.Q, .. .,n .l.r ,1' ",",ì.i~ 1C,- 1.cf,:)\.';""D<.1'10 t:\ IQC,l''./\ 1\1 ' .C'DJ .\-0TI: r: ).ulJJ: lli.'r.::- ..•.1\:10 ~~,'\: ()= ' ~h ,i"tt + h••.irJJliI ~ &-1 :-\ C'r;. !i,_••<\1r"- NI '1' 't'.c~ .loI \ lAJ:....::- ci) ~bl .;::r. •.. I\,l::.. tiU '1'<- -••lÌ (l,i.'l ..r " ,7',.\' 'è"" ,l-.-•.... .. r.-lw. r=, ;s....••i,\. [:I"'li.>r-... fu ..t,~Ip-Ip lo •.~ ~ ~ I~ ~\ i~(-~(' lTI"\ :Il~ C'l,!-t-]\ -\\. -~,~t-ì\r'~ l). n· tTtr"ho\'1.~ \\ b\ In'r: ",I1 1 \. \-, r- ,.. . ("T\f>. eCilf\! ~"i Cl~\- , \. }1y ~•..... ,IU- :li.. .c-s,.'"t-... -A""-Wc. :lI~\1.-;) ./\~~a ,i é' liI/~ l' 1 ••• Nj\J , ,...... -s'=--ti~\,l~c \..~ ,h"- ICl~. \l ~')(" l. ~lo~ ~ ~r: ),,)0.C!\.\"A \C'ì -= '1,~ Q> r...\ \.J"~~'~ ..- o:.cIt',( u>\ A \'r- 'It '\,.-fl..l\ ..i m-c- tu.....Q..::,Q} - .=Ipe', Ur•.... e;el) e~ bu - 11.1.~ =ubFc i.iJl/"\-'tU ::;h' f- -(1.1f>/ 'Xil'1\J\ Il -r-- L.lA.:-..6,...., - ro, ,,\.: QJ :rt&,rJ6 -c ~, ~bt.;,. rn lfi~ ~h hl ? e.,,r- ."", ,~l'!.'V'l~ "'l' .\" \ ,~1\I - e ~r:a, r. •Ji ... \i. Qi\I