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L.2. oingRAt{EDREPTE ix
-41-
DE EFoRTuniPLAH .
LA sisrEne DE BARE
-> 3e ar,a{izne& nzle,rne{b C" . /,i,rn ,ltqie in.oo7ahrattt, , artPl e/tf/{( "ut>uqr"fut o("{rinbtr n
{d> Do-ci at ,ue}*'ww-*i" (*u/, .w.tu*axnfr, b/o-an ,}"rC in /,rrad"af*.vtdq.r^Lfu/e a ,n*dt*&a" , uhTd%:d /b&a'& +rr&'arrnfu c,aLuyhurnihrzt* i"f,*+w'fteo, */rL'/r{-/ nw.d,/,fu*; ;
t I -)rlI
-
l-.-l't2
Lttl4- - 'Z
N4-M! !4 * t 'Z
t**.45.',.
Rqu{H. cdft/,.; i,h. ,ffizut 'lvArtse daqewalz /'szh rtxioL:' ahl>t o lanl, a+ iuL,p2*i r, .hrfr; ,hi,,"'iaa4x o N cu,4z#t' /*,i
"'"I frr*1; im ,rr,o'o,/r"f"r( iq,urst/,,y2 o[- /c e ' /aA; e,il (Ful ,ut 10&- ,fx'c;ro;ia{Cd /,i}; (i" *wt ,ntpr,ru,odla/}rnoswi#o? at Voanri,u;fr ./rojd +w Muz ,(*ryt h.,na"u/ mrerlnnt ) ,
\kr*Na
'PROBLEIlE REZOLVATESd ,rz {rn +eae ,o,ia4,ta**{): fu ,/fr,+/.a.frb
t zn'rai*ahe,{e. ,it,fa,rr,'e ,# irl^. : '/. I r
u:kev,a.k ,(1],7..rt)/
fv
c{t trnelafutt'wt
I, F" = g -p H.,, = 2o.4 = BobNX f1rr,=o
-D'
-v 4 + 8c. r+?0.4.\ -20.3 = cV = 25 i':Ft
S-' Fa -
-\ --NL_,r r (4)- " -t/
-\/2.4 +2o.{+20.4.? =cY r-- 4t ler
zohu F.E
L-z xe fo,4r'rlN[x) = 25 huT[x)= Bo-2oxX,(x)= $Cx-2OS
L-
5-4 s c [o,]"^lN(xl= *45hsrT(x )= oM.(x) = o
"1 - 3 ts tr [o, ]r.,1tl(x1 = t;T(x):-4EhHYl;,(x): 45 X
-,16-
l_(o)= BoklT(4)= g|l(o) = el'1ig;= 46ch,t.*
Yl(o) = o11 (j)
= 435 hu.*
D*ri w ,*ct'u\er.,t^t"zi a..r.t":rtn,,-r[ fu ,,*r, i.u ,tpttur,:/ul 4 ,k' ,lt irr.oi.r*i.+r*;*i. ) ; n /. | / | i: /u ), f I n/:,tla 4- 5 , 'c.12{|tio,,a iu. .f>r.tncat, 4 frn,w/rot' fueiht * /* Lriza lrr/rlr,ttu
.J 4a f t .'1 /, , t ..1 :"1r" /- ,: 4, .! I, J. ti l, n , il- ;-f{,)"'-,1"e"' /*e tit.t /.C>ti 7*4
"I
*,' nu;/r"(; ;orrj; /"+rp. du"a q.,an 4vi.rto dirt/t(i
1+7w1p /*,a .
M"/r'gdu|e/0
A? ,eo,
@lhtrl
- 44=
L4mlu.
Y11(o) . cXi(I )= bC hnr.l^n
25 ,,
\-z 3E6[o, {""1' H[x'1= e
T(,{ ) = -gokHM(xi = 80
a-3 x Qf o;z*lN(.r)= bohuT($)= o
@Ihu.*l
?, \-.f *11 -F\ tl -n./ |-t,,t- v -t- | la - w,LrlJ l
f m(4;=D:p Y3-30,4,?=c^^,\1 = c'JieN '
\- t.zt -/1 N \/ 1 I ar.\ /,L. L'L1a;=o :D *%-3 +3O'4.{=C
V_ = 4oftrldZ-
Mi(*)= 8c{a,il.'}'1
4-r EeIa/n^lH(t)= oT(x)=-4ot30x T(o) = -4ohn
T(4)= gefeu
tHl
3 4nr
H.r
--r
_4s_Xo= /r33"t'r-
L+3c+ Mi(o)=oc Hi[a1= 8o &H.*fli[lr3]) = -zG
"Ghrq'v"'"
l'kx *l
{
{l%.
5l+n
6
lehH {
v4I=+
ill',{, (rr'l \./ K/ l-l
1l I-.- F-l t,I t4 i*
L-.1
' '4 -
\./ i'. 1' t
*3C.q.2*48.{A^ l\
"/ -
'Jl RFI .
"i
4./!-48.2=o^^ 0Vz= ZU Rl-i
thxl
I f1g) =c =+ -\v;.3 + 3c
-20 ^
[{ex.rl
ft*t= $ x3
it'I4
4
Z Fi*-,1= o
Velr I X(ut= D +>
Z Ylqr)=o =+-Vz 5
- zo. {,5 +N m }(t3)=o
Vz = 5 kr-t
A+ ;3o.3- 20- Hr =ZneI
H I = 43 nH
-V ) +* 30.){+ r\ - eo.,t,s = sz- ,3'-/
bv'rte -
V,,=5br1
5- 4 F e'1oj4,5ry^lr r f \ ,*ll'l(*)----5RH-rl{.{)=uM.f-\-D'
r"(\xj -
\
J.rYL
lrd. r1l+ 'Ijr
777/47
4-: x e Ior,l,5lN (x)=
- 5hn
T(x)= 2oftqMi{x)=
- Zo:e
Ye r a [o.,]n*lH(*)=
- 2o hu
-f(x)=--sknM;(+)
= -- 30 + 5*
e-t Ee [o,]*,1ogrreve-riE1guLwL",dr ,r"odh,rrln ^J t ^
-\2-T /k 3-5 ) ,,a/ra,4*^ r )u J irt /,t"ry&Lln2"4w.A. :
2oku
_24_
I'l; (o) = IM;(rr,s) =-30 hu.*
AJlJtn f>unc{,u(in' 2 ,MnI
Il"ti(o)=-3Qh+t.""tmi (l) =
-45hu.r'z
2 , nfr.r"t"idlQort'r,rt'&
H(x)= 5foHT(x)= - 20 o rnof ')c-f(x)=Q :N Xo= 2*"
,L J", ^ t, r,t'l f/ nfzila,[,a- /14^?kpfr1/423 ( btW{?'t*'*o;rJ &rit z .de ?rv,Q
'i\J
ftr)=$rTfo)=-2ohtrTrrr t ^
-
I , ,i[5J= Z3 h:Fl
M[t)=*{5+2c --(i 4cx {) [3 -)X t")- --'{5hu.*H(r;=en (.) = ,lr,l6 kH .""
\5kN.m
4H,r
i'*H .1
*z?-
i[H)=o =+ H,r ={ofout F,,.,,= o --g v,l = 40+ 2o-2 =5o&H,_ , (V)
l1;(p) = oMt(o,s)- -_ 5{ex.*
Z,Dlqey=o-s
It-Z .*C IojO,5.)""1N(x;= oT[x)=-4okHf1;tx)=
-l0I
2-b Xg Ioro,'i.,^lf-t(x)=-'loi:ttI-[x; = ef1;{x)= * 5 *
*40 3 -2o +4o. o,5- 20 .?. t'5 t HnXo= 4o5 hu.tn-
2O =-ZS L ru.n*
*21_)*r.t tstfo,S,*,;{*l
H(*1= -
to hHT(x1 = 40 LHMil*)= *4o(:r-o,s) *25
6-5 r e [o:Hq*1=
M;fors) = -
25 ie u.*,M;({ ) =-20 /pu.""
or5onr'l
-4okpT(x)=
- 5o hu
M;(x'): --{05 + 50xM;(o,s)'=
- Bc hu."^
5-q f e Ic1f,,,., 2,5.,*JH(x)= -- {o leuT(*) = -5o + zo(x- o,s) t!o,5) ='50
T (2,5) = *{oIl;(xJ=
-4o5r5ox - 2r !\-:,u)' \ /z Mi(o,.)= -
|1; (z,oj **
-_%,_]:*r ,.,
Mi(o) =-t61hx,*'
i* lrkH
I o hu.r.".2o kN.,lr"
\:/I
il)II
ri 405
80
]--24-
PROBLE}IE PROPUSE3a ,Ae t+nteze .d,oaWr*h de oq*'"t'e ,o-&o-/n,, t, j- 4n^ : /'- n'"/rdu,"r./o *o,,/' /,n
^ o i
t/srt'u" fu ,urt"or,rzb/)polw lilrh;teil.or,tedi*ttnz ,,/z /a't*j ,obIR KNIVIil
2.^
p_../o i\.N.?vr
4"rn
L.4'rn
44ta
o.,^trNCU.wt 4oktr
3. +.
R\r.
46h{',.
6.
B.
{2tu
%H
20H
^-[Zl RH.Tn