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Page 1: Statica 1 Seminar de Mana
Page 2: Statica 1 Seminar de Mana

o\

\4

t4'-t

+d

-)

l.

/u

Yo' c"t o{ t'a- d X

{ rn "/o: t'te

/ . ,,4 ,/ tf(],

J'rt

,3"t nn€

'rn dr cP,yr l ,o["*- r<e- { 'n"(( r"'

P'f,

rs/rn

3f 'nc{rt#s€

Ty= fu,BrTj=/o, f t

Rr= 5-9=t5

Q.= , lo 'E = t2 '5

ta

Page 3: Statica 1 Seminar de Mana

L XsO

-Hq +Tx =e

14 - to,b t

f Mr+ =o

lo,6 ' z + rS-b, , f + 15 I / .2)5"8,Ut Vg-* : a

\/" *D_ /7 Ax/

ZMS =c

atI

lA =- lb,$O t,o

q.>q(J

.4.

, . . i' . / ) Y4'. ( " tufI

L+\u -

I 'o = !5

.o2c +lc l 'd;- [ ,e5

r/g_/K,

4, ,5- org 3 -F * /g&" j ,5 - t /0,6 F -y '* 3, o

L.. . l :

lG,\c

i - " I' f ,/

/ .c1. / /v J,/ ,/

ar^(( ' - d,D

Va -\y - Rr - ?r \v8

)

c/- VqL t /U

)"fId =

C O.\ o{ .-

d

75 ks

: :5-- /D'3

B

Page 4: Statica 1 Seminar de Mana

)_r, b =o\/A.3 -+l \ .q- )S 5,F5-r2O -2cpo,y5 =\2

' .1$.3-Su.f -8f ,Y5:c

2--x = o ) tlA Q.OSD{ t-',/4 j'.tr. r* - 2 o 5tnd - JF. J.r / - td : o

(^^

15-:o 2 ' i l r + !A_, jot ,v

(_svo -4r l*- t r ,y&o

f zt/o + tr# o =

L .,9 r/4 * o,G/*6tr,vs i -i

. r C=:=l l?.-

\ ' - -

{ .1,,1a - r rr\o = 2 [6', r t(

/ . - 'n 'o t ' : l j ! =(o

g:x/ f l = 196,45

,r:--1 I/r/+_1_,uj''l6---*--

I t t n r- \

| //p : fl,,0c

/ ) \

?= to ' l '5 =

fx.a

+\* - 2o 'aD\ Dd

^k-t<'C/)

o

-t \-|,6 = ('6

ItAn = \'

/5 ' l ' fs +{o +f '

!B = : /9rzt

- 2o ' o,Y '*-

o

2,2 5 -Vg.5

II

LV\ b= t /P"5-Q'3rY5 *:o

V,r- oQ Y5 k rx"2\ lY5r r$,a5 25- z o

Ey-o =) \ /A +Vg-P -FY- 3

srt

(+1

Page 5: Statica 1 Seminar de Mana

&minQ{ &ThT; C K

Senn ino<-

j

Z"y'rr*) nure-'q

&, /0 aoo?

rz)DC

- l

sk".-f -

?, =?r =

Tx:T7=

. ,6,

r< * \o . n/or/ ' r i ' le

i^ rdr e-c,.L e e

in ""{

co{tc/ '"s/ 'c* 7/ '

/< & rn{to'd'o':'/n

1ot//n

{ j15 k,Y

I t/r.- i

--***"*"/t--- -rII

l

i

?. / ( -= 22,5 kry

5-tO=.SrDkNl

c.os 3o'- 20 = (F, gQ k N

sic. ?d. 20

f-x -- ot -

Hn f *+--- O' ri-

t l p: T* 4^U+=-t7,32, k r ' r

f M1p: o

R1. z r-16 tr j 8* ?z ' t0/5-VS' l l = o

4f+/5rgo +52s --Yg,o,

',lB -- 6at // 54\n

Page 6: Statica 1 Seminar de Mana

!VlB= o

r/a,ry -R,. t - l ro - , . 3 - er.c,s =

, /rt .v - J 02,5+15 - So -)S- =, o

Vs = 2>, o4. '

r7 -- \)

6!*/r* /'/r" &/ "

eO - //--,;- 1'/

-.{ @

d6= c

Trtd'= zo r; ' . , -zo'9tsl q,o1"1 -_ -Ze

.h =' ' '

Atadt = * ln

- RL +/3

suq(uneo @

^/n--*Lh'q--' t/4 - Ra

M,,t= Va 3 - ?, I/u/, Jr ='7o '3 -?,1t y' z5

frJr= V+

YlpJ, = Q

,."J @nr;!.4oI..lrdt= - tln -T*

1*=V4-?rf.dt r/p-"r -+z

klr= ' la '8- ?1'6attr

r"{ @

Ng-C

6__.orlg -* o

Page 7: Statica 1 Seminar de Mana

s/o/,'@'**/Tt, fZa f

4l- M- poo y

Q.=t{>

P= J/r . f f= tS2

ZY/1= o :) tta . 4 - V,B . e?gc? b ::- -t

{6 = '32-?- -- r4+so, B 6h,G

=a -= o a5 V*: R-' Vg co.r 3 o o\

V+= Gq

Zx=o=-) 4A lE ) in3o" -- t .

- i l *= t ,9/ , t t8,

=Me = Vk'Q ' - 2\ C'5 - 2N' '2 =

&n,fnqr 3

r) gou s<- # ",/ pl '/*,/ &n l*

2trtrV/n

: 38+-4ZZ + \a =e-

Page 8: Statica 1 Seminar de Mana

s"1- @Nt= -4rrr- tZX,3{; /

f * -- tfft-- 64

il4--- o

t"{

N*-N|',=u

GL+rTdn, YnYb =1F.

@t/*

- / {4: -iFc

S"{ @

W:ottr c1

I 'J=o

€-, | l4= -o(r{ ls + S2S _; /5d, / ftr\A =:\)- . ' ( )

\ \ lZ- Mg. o , \ . /0. / f

. /\ / tT

R.."'.-c x:or-_\ 3/1 +5o

+ty,3,2f+5o q,5 '

L dU5,/(L

:/l ,r- t lgtce) 1g

14

/4?,{/n

Page 9: Statica 1 Seminar de Mana

*Vn

O

s"c/(

Nft=

G-'/-/+ _o

/ -^/ T/

'reCZ Wq

r11g = VA)

7A =//B

Mr=o

, rL I. / J ' / \ /n

N2 -- -- F-

so.( @

I7Jf-*/2 -

rJ\ -:_-z

r \o\M (r =( tz

i CIs'T;o =. ,Jo\

44\ =lL

-Q

P. 2,2 5

-Yg

i ls 'RR"3'zg

Mrt"J = R,vi"J =- o

ff'l--{.^' -

el'J

r{'s= e ll

iec( o^<-)

N,r": ftt-j"s/ t = -R=-qf

2, 2 5*= 20, fs

^rf= -vgq- dr/4 = i l .1a

M!t= -?

td

Page 10: Statica 1 Seminar de Mana

1JI

)

30 +xz/-

60 t'n,

25+M"N\

.)i

i

j

c) l.4* l

iz

;III

7

Y*/ : - -

Z'x =, o

tP/'*- - '/6' -f +- 2 F -- o

)

i

-> 15' -6o * l/" :.'' o

r/e : /5-c:) 45 (-60'3

=" r{. 04r=Nu, --gT= - /n = ' /5/ri"! - y'n, Z =- -3O

xl i" - -.r5 9T' ) e5 t

Iilg = o J Y+ .t*:p7-F4ji- Z -6 o- l r- Z = @

y'n

&4@N*=*y'a=-5

Ta = -r la ---S

Mlpto

Page 11: Statica 1 Seminar de Mana

srl 9'x1 Jos ''- '''/tT' , ,2

7?os= - 14 +P)"t :- r-/4 I t- z

/"fo\r = R

rdr-rz n-df

N.

r/n lA.l +r l r t '2L)

*/w, i ' ' " )

Nq , - \/b

nr"= r

9?'u\= - (g ' '

Nln=- cndr_ -r/nt*v(q

,A,r /f l i '= vB z

)"cJ- @nl

{x* =- '6on'

Jl- ' l/z =-64

,o l - 'f4a = VD z

zJ j"t-- -'/c

-Aot= R- r - . r t

'Jf'-_ -w z

r"rJIJD: o

7b = *r/B

Fl f= = o.

Page 12: Statica 1 Seminar de Mana

03 /4..2@r

TI,

R=/o

"7777'C4"

z4 ^""reo[ ff i&' ios '

\/

J,ryro'*" /' f/ ,,^/r/ ihcnuTc'o/ *

- fu5€,

- /q-,S.

@---f -t

TIi

h

: 3,C

36

Ioru 2_

=. '/B'-7-z-

= /f0 Lt-

4*R -- /o' 6 - 6 0 tcr-/

Zx=o -- : ?-14= o; ' ) 1=GO

ZM* a- oa\ Vg5-eo.3=o=)\ /B=

[Vlg-c =) V+r5-r6o,3 =ro;)l r

' tv<; f,.ra< C

-/ - \/i .1 ',L : {:,

:q: I O

^/'I './+= 36- Vt'?-v '4-- sG

+}, r \ 'l ,f'= IJ*-K = ol * : HA:6O r io\ t . o e

S'L: o ui . = lJ l 'b - 1- i

(t'= '--lA - ?' : OtL= VA= - 36

n ${ ' - - io 0 -R 3

/Fo<v+=

,?nf>r'fl?{- 4

*t

F ,+#

,UJ"

Page 13: Statica 1 Seminar de Mana

a

/ i r

o-I*a'-'3p{

lo

\/e'

3F4 \60

\---- " )

II

{. u(-4-,

\ "#1 s

\u,

ffc

FI

Page 14: Statica 1 Seminar de Mana

SL*/i co( /Q //, 2eo fSemina(

9*** - ( - - t

+\?{III

\qt. lI

i

l

tu\:t-'t HR(^1-

. ,y,lt/g

P

l i

E"{ t en* .'

R= (o \ - 4o Zrt- \

f ,x=o --) R-r- lg= o = i lB=R.=(oa*/

I tJ += o :) ?,2 -Vg 3"o'> VB = -3Rt = V,{f

L- Mg= " "> t-z + t/A tl --,o -) x/ul = -- V, F

Zy.o z) ' .1n- f t : o. , , 1" .

(. Ile* BJ

r l

S".{.. @

r ,\'J - -.t,In. 3, f'ol*A

" . \ Q

lf"'S- - 'rA -? ' uo\rGo,= !n. usix - G -dnd

f4tt -- r\n- tQ\=r ' 5 - F' slnot

*..\(c : - u)g- , d( r r^'o 1 r ' \ 'V\

Lv

'A( t r\-'1: = rlB ht- r./ t

<l \=- t11+ -- o

r(n LeSd

Page 15: Statica 1 Seminar de Mana

{

I ^ \c lr\5-tu"

'3

l-'rr..

' l : , ,

l ,njet wI

| \\('\\ /n "=- P

"'7- | //a = *1Q-.' t ' l )

ryiir -- o '

_, /R

I-l g

- v\qrlr

Page 16: Statica 1 Seminar de Mana

k ftl'{\a-o)'r'/

Page 17: Statica 1 Seminar de Mana
Page 18: Statica 1 Seminar de Mana

IUC F

tv\E = o

\L

-f -32- l ,S {0 ' r l ,5 '

48+ W+5(zt(92

o,YS /Q.8 ,4 + t l , E - 21'?r (J

Z Mq-:o --) -3)" .

Page 19: Statica 1 Seminar de Mana

24, \ \ . 2 oo K :rlol'co*

SemiO,at

r48.{2 t v/^

)l

1' "6-Tl .e

-\ .f8 rc"t,/a

e-22,.

( (

Ii

t . )x,--- \P'

/ . r . . ' ' : V i ;

" . (B. '2*v

+ v +

"\\_> |' t ., r tN

\q'l'Et"n z4

fr3, '"'!i"'rr""sffifi-{

B;S $$

R

12 q r//m

Page 20: Statica 1 Seminar de Mana

Rp 12,11 = 4x *rr

f Mr: o =) \{. Z -r/2. /1 = uc

--)V2r- ' ,8 ' f -=f4.krV/

tML?-o >-7-(9"2t + V1' Q = o

=;> V__ g2=2ihv,q

Ik z-O -2 4\- ilz= I + 'fi, /,

tls

Yg -?t, eg

lnz= 21,21

// t = 2t , 2t

Zf4 * o * ' , /A ' 3 - i ln + /2 '3 ' t ,So o

ga = e o ' s 'v t? '3 ' t '5

= Q ,=-)

=JV, . 2 ' t P-: , o l ,q - \ / . ' /+5F t o

\ /c =.(3,55

Page 21: Statica 1 Seminar de Mana

tT. l l . 9oo f bT*n'c,4

$c,n& gu cpnso/e €" *'l'-/a{'

\,aL+

"{-

ei&o3

-@(3M/n

ee nqu d" /^ &-*Ydqtd'-n< cnc<- s.

'.\^ S'\.o*Ja.

Sr' & ,1*.* /egr"o. ̂"L & "{

*ttr.'^dr' {,"r. &\ J. f$q}' {os

r l

*/ t , ,*{ *

/ ^ ^,/, o/r/,

?/. flt't ?"/e cq Qens'

V*= oztxt,,/1 '- 92 4 xz

t / . - z4t ,vfikNfm Vs = >4 ktY.

I {lu:>

,8.q zf'le +>{oo/N

- r \ i - t - r . - -

*\_\;l

tr

Page 22: Statica 1 Seminar de Mana

>Mpc.-

- b>' 1,5

\/c --

r f t , 8 '4 *r tc- z4,g, o

=F

l9z * e-/z f ( t - r '5?(6'o ' l '

ZMg= -

-32. y.F

6=-

l , . :- 3,75 r r/ 0 G le . t .2-?Q z_ 1o- /G'

Lqof 4 ro + 32 {-/', {

6

sril60LM'c '

't rJk H

Page 23: Statica 1 Seminar de Mana

ot- l : . -Loo8 t I t,l

__ft,A.tf c,e-

1 '/8, = .18 s)n 4so

l_lny =: lB cos45'

=\.4+:o-) - to. l f

=)VB=

D l')g =o -) V+G

\la =

-7 'at

\ , )X):c) H+'

It lAr,)rr =

. /g. S r / ,5" - - o

9 02." /

(t

* {B cc: h5" 6

J c 'qc4!!E".6;

- Sir46n lt

+ Vts.Er io +S: /

f f i ;=O

(o rnt 3qf f ic ;

- t r t t i f

+\ vt /

,a€,

Vz

l l ,3t7 2 'o '.>:oC , /q

Page 24: Statica 1 Seminar de Mana

b'/ 4s.( @

J+-r\ p"o

so ol\rS'=

TA'\'3

-*. cJ K)ov

N f"=-V+,fi-E* = - il+Mf': - Llx 2.Ni"t= - V* -to

f"'= - r{**,t?'-- -,rh.z - t o' tNt'= o

7d,- go

v)l', -z:o,t,

@- \4

Ns --

G-_F4* .

a

Page 25: Statica 1 Seminar de Mana

\V

S-t*Trcle

.o\ ".

tNoi

Ia\es .q

" i|n '$<cf . c(]c0c/- t{ = /.r./ rncfircnl

4Ah\ \

\*k

t

\)a"$ \c'

7o

Ty

te-

J.

I f ' 15 {a ' t f6n

q{t'r

n n&N

r1 lr.l. ^ ,/rn

?L,

1\\ IV

!++)

?a \_re

A

: 6 i l /qt

L7<= o

^l)2 c ' crS : o -- l tY, 3>

.s l r . )Do. aa a [s t t r

)s:r t

--

3 ,.rS - Ty 3 -R,p 0,,f.: .;

3-15+ /o '3 +So'C,f

l l

Zlt4 = O -) ' R, ' Z + !r* fy .y +?z . tor 5 -Vg . , t \

fMg. o* v5.

Vp

-?. t ,

22r5.

. , .) c- ,z t (5- i- lCI' t + .IO ' 1O, 5c(rY

E".1 -*- - . rq - R\ $7 _A\ *_ yB r_e

Page 26: Statica 1 Seminar de Mana

b"{5-.{ o

=@==Yo-J

M*-= o -J

."d..S ̂/ '

vb----j----Ac I\st>G--bJu

r \ ANB= -zoJ ,

.."|'eV=@ J\ - -V*-R' fNlf-- vo 'a -'\,. , J rttd'-- rA 's ' v,'( *,, "/

t\>. r \ ,G\

V=-\A j

tJJ -t \=v's

, 'u Zo-!B\J _ J- | \?)

-c

. "d. a,"d*l n J

#%tu

"{

,1r ' ' / t I :

A/n

T+

r-sf\L :_ W-q\ - \7$ t-= rlg

$' t -R^' 6 " fs

\-l

-/

Page 27: Statica 1 Seminar de Mana

- t/b' fz o

IGlc (@W'

t**= o 4 f l * = o '

€ t l* ?o ' - , 50' 2,5

\/t '7-\o. 45 -w29.'---+---

5.t^ F c

t Mg q " :1) -5c 2 '5 +VA'J2

l *= 2t

-- o ,-> V+ \VE -? = -"r

A'

A8..4. 0 ,\or ,.J C "{zVi*-- V; ---zr A/-,tt = o

-\ os. \\

\; ": o TI. )o -....1g -- "it

Ut'= {5 F('l= go'2,5 t'fg 5 ': o

Ey

Sr/L*.

d. \A)J

= -VA = -2(

_=o

*

(

t;il*

Page 28: Statica 1 Seminar de Mana

;.t{-o -J .

ilt' =oTiI= -tlu--zdM|+=o

aa-.'-r-|

U,t

Page 29: Statica 1 Seminar de Mana

15 t2 .z oa 8. ';1ef, e^abe rzt oa't-

Nu/ CrC.t d

T-*

l-l * = l-/: t/7

H - r,fn p,','-., {€ ( ea ArwA";

,-7 O \l

, l / le

ff.= ---r-{/

C - .r^$ 'n,'rl ?"

crlre '[n'c''a oo tr'/nr' /or ,( /ru clL o' ' ' 'nnLJ'

v

eL.."

1A\r

\- U'' (l no ?ht ' ' lo <

c h -L-j J,

\ \4I

i li

A '/'

i /2' Qe,+-

r#il|;a J r- r*tr-J' 4+* . -s --+B v---Y*"; r \

A*.ttR q:R Qot oloqli t-

I

l=+x(rz-r)* *u *\ Se i.'qot k q

i

i it t1ai lI Il'" i

* "sRy_ =--t\6

2i o(e:e-

l_'

J- *(-3\f\ r - / -n ? t,..r ,

tz -x)

zqo le(J, r

*,""{t'' ) "u-t

Page 30: Statica 1 Seminar de Mana

Zt lA = o - j to €.3 + 20,3 - , rd lL = o

. / " - /YO+ t7o" iJ - --* *-----. 3 o fv ̂ t

ZMB=o >> Zo.\ - t to.e.y - \ /A lL

- /t / f t = 5.0 a, , )

, ' t - ry= 3o+^t

f= *,.h fS,

;t

Page 31: Statica 1 Seminar de Mana

q >,

\ :J

$4

C:- i

e'' .\; r c,

.o, ! :c: :

;

<] , i c , . j

xc.r

- - t r" .1\5 ' ' . i

iL

\Y 'i f , ,S c/-'t

( - i t , - { r i\:t. s

j i r

\-9, i-c \"J

rt\"t^

-T\YirQ+ ( , , 0

Lr n , t \ : !r ta ':-

l

q- l- )1Cricl' - - r i

* i

I?-l- :' : r I

! i l

\1- l

/;l 1' t ' i?1

ol i

- - l' l

-Tir

r ' lI

&t z:

NOY

\q-\

\s l

c. v'1!) q

\

Y!, ,*9

t l q ' r

o l '1c\

, l . t t ]

t l (Li)a\,

o>

r

_.5,CFS

;

i

i ,

, )--'4.

\ )J

I

r<

Page 32: Statica 1 Seminar de Mana

/5t'"t7r,r - t /

t iY--- W

\\\\I

t2,

v{-tr

nL/

. ( - - - ( . - l ) ' *86

sin / -_ /1tr

o = t S\{^\f

f r= G-x6-/ = (- .s inf

(oJ f - i ,s- ly"' l I

\

2,$ .>: / = f CCS fI

\ / ( ' tCl ftzt '

.6( ' - 6 r + tb

- . - r )J.r * J (c\ -

, iL\ -- _-1

)

: ) s iof=

{ t - :

-{ e. f

€,5 r ' '

6-{r

1a (/ - l

Page 33: Statica 1 Seminar de Mana

200 --+-299 -ts

'\ l?--*^

7-777

zoo \ ,, t

\

Page 34: Statica 1 Seminar de Mana

o5. O.\. zoo 3 fu*&'

o Aoto in/r* '"\ ntJ @rrcuro! 2 &rq s,,, oo{,^€ /)u es1!

inudt u\* .$. fu.lla .te ,n/, z -fure_ srr/ ,r€.o<;

a

')J

d*C ?n/. - .r*,. no J e-o n .pr o)r b &r < no 6^,€u n'q, Jit 4..6'r ..k |n lrv6,n^4r'r €d,, e*6,,

6*co' {o* (J "r& nr,t

/ \\ "

%,.J,r;1. /cu'r..ot ux[ e =e ?'n

n (" "o' ,n*'rrrl

tAe/e rn q

0t

0- , \

| \@)ljavei=

nn N-

i,n/o/o6at"'na. / )

d< ,n,4o y'trr

r6

x'-*

T'/=ot - Mr= o

' /g

_ x'L

-) >( = a[*:

-) fs =-r F*rF-zS.-r$ f

= 6-, 32

-1 r

IL

- i - t s = o \4 = -G,32

6

1

Page 35: Statica 1 Seminar de Mana

Q.;01 6a' =/ \ / ,2 * =') A4 z* /Yz.' cpJ 6 c"

12-A/r s

x ?,= t A/,rz coJ do o-*- o

ls

1 ( U," btn 60'- 6Ez a r

6, Qzx/,2 =

^4,> rb 6'o

- 5, t? l k, ' , . // i -

Nz3 srn 6o"

4, =, Nrs, a /U; = - /, 3g * n7

t6 l , tg crre oo+A/"q * l t coJ6oo

1S- d 93 . c.al Grs" - F, t ?, c,o*f 6.oo= _ N r

=47,fk4/ =. /y"

16 - A(z to\ 6 'd + N24 * 1s. c,rJ 6 o '

- */ 5r'n6^otz

Page 36: Statica 1 Seminar de Mana

"-i-l

II

-t-*Ii

I+*-

l i

--i-*-I

l l

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