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Fe"^rt{n o"r I = Gmrm-
iFeo"t{"onrnr =i6m.rvt.' ' Fo,-*t a* rr = 51ot-l -> lhrS €ur-oe ts
ii-F..{{.^ron.n=51O1-1 ">1l4nrSGo,.l.,p
#ilil-"r*..g *. !*;";*"**
i
;, qs ide qx)uld <q"c*'14!
:
g1{q rdtGok$)
tr* eE-4*.s
,Eb-.:Stf?
' i ,

8. 7
11rJ =,m:$.o.,h
_ Gltlrnsrmflrvroorganl.m; =
r=-[]
:U G^ 'H tt.1o€Y.1
riii
;
J-.'c,t't -
)I
K*oo."
3= - obiec,b e.Jr drBtc^nJr
RJT
c+ lhfs drtftrnd ,/
L> crnteeS uJiFh /;* ,
frr"- ftr,il txrrle-rc.lbn ,
'{1le siae oF q shoud
J
Al
-Jb I
l
{q'r l
'lh" "Q fr:CGS
ti
t, :.
i

9. "-.ilVz
- i-
I
.t.---
i
I
'
-|---i'
l, -l--*'
iil --
-i I -r-
itl
---.- i---i--
i+d
l-i-
it

10. I
I
I
i
I
i--
I
dono!*@,
:
'
I
I
)
t-' i i,;i:
: Rok^hfcnot rnohicrfr: Oblecr) fot:ahesloil"*
.
M $ i*y4
I
:
i
I
, ,_
i
I
I
i
r1i
'
Ur'flrrn ,{lshhirhcd , lt{rrh'on oP e Ktn,a zuf ,
./ trrE; o*rnE llnou"tq-r
,z-veloeitq uJ ;- 'r
-
r cs
Yne, t"J ha'e'l ,fa 1..;e-S
fi<rr cr :t-ifn€ rnFervcl) A
2 pointS ori fhe vJhtgl t'i
lulrn wir"u3 |the.i Sqfn9
i
--</ qnte tO, *O. Oven rh
t{nl-ir' I
: d,e$Lnces (") From the crxfs ;
- i yh loe clfF6<rent
i
, ,
,hin$*lor disgtc,lemerrl oF crnq pp,nt on fhe rvhee A0 =$ at
. l1ne Sgeect of gnq porh'de rn t-he Wheel is V=ti.r
Pqrhclel .centrilce.ir,-i occEle"rcLhton,r Ct =t^lzr I
Ant,r,g.r 'ft4-e.,efOtron :( = H r<'1)'/r2-
hnXUC^r 'ft4e.,efOtrOn ,d.:
-at '<Lu'/E-L
iA9,J= k)$-loJi ctr,,.rlnci th.l f-i** fnref,vc$ r
i,
: Atd = t tcO i rtWi^l Fhe-, h:rng f nreivcA ,
to - i
; I
l
i ScLr^r<- c:rs C,tx * * ]i.. Ltne<"r- Occe)eYa-h'on - AV
ri
r'Si tc}C
. Ii'taa ,lI lhe . engulcrr ai"rbcr^ir']rrh a r 5 te. scrrne-
,--,. c L r'l<e. d, |-h'o ir.n,l.r,r[e"- ol,ccelerohbn d r< L-l^e iII -..^o
i l
"4,to
l
1,^t:Ii|I i
I i
For 9n*.1 poto,r- or a. rohrlnr'n1 figicl bod.n :
- i
BnXuler cgeJerc,,tr'on for 4. go-ftr$e in r6$rl-rii$unnn
:
-i
I
:(,trcr^Ic'- rnotion I
i
i i
iiir|,i;.jiiiii:iiiir

11. Rngrrter
si I
-l :i,i
lirl
i
:rli
c-rt gonsFrrn +
i
Djnglo-c,e-r-,e,-,i'tV
ii
Aoggtcrr o
fi*,*o

13. : - _fr.
ri
ll.lt.i:
perlperroi<+ref q
}e rclFlioit ih1
ir
isi $itjt</
qJl q
. i. L
rl
!i
-l.'-i'
ir
1i
l
il
I
ii
ll
ri
.t i
il

14. :i
W hd e- tq*t.r.
i
i
ll
->r
wl
li
,t
pivoV: rnri
oUlSc* r S
Hcr
iiti i,
u> CoSe. r€-c..<*d
rii irii
trr cente-r: , qa je++si rrF.c'{ +&l
surfgcg o4 ![e- <4rr+
: | 1-';,
; l-t1"
i
dss,inHc-titU t'delrHScrJl
i,tt
'i obie+t.6j lhrot"rn i
UI
Tlne- wrot-ron oF
I r'i
ip*t"qXF l-qh,o',
tl

15. r

16. i ,r.*'r n*n* ,u , : i i'-rt
. . ".. ]r+t A,
' , ' '
,
,1 a, F.*^,ao- 1-1^. pc.rttqlo's. tgJ f" 4}nirq
i i*.*.oeq-tF);,.--B;f c?.' ;
i- r ,Ii i ,,r
ffi*Hlf"ffir*s'
:
[ :tffi*.,oa r .e ransrhr
lffi'l*"n*;:*'',/;,',
; ': : . , i i :
(Ar = rY cccorcl,i -1,gc'Vo$Pglv,t|e- '
t6 ge,.4lr:n:s rl" usp.^r
I
p
;'t-e-drc^ndcte are-]te.fot4 bY Ot=or,so d*ra* "ti , i ,
I o( =*+
1
. kR.d 16 forr*'O Lhe- }or1i.re- exert.a b1 r(rvre ?e,xe.hs no torlb"q btc ils o,*.orong r+,,
: i.*I"l t,*)- ei.
F'
'"'l ! lo ;r*.r.'r ttl'l ,1 e-xerrs h'q*s '
i i lT=riF
-l=*., - '-;-
: 'WitsI,^, t-hiS reo,k'ron bt^; F.*r"li f i i
ii
i
L.a"!
i. *J; c^4 erngu.r o*r"'c'hon ;i .
. '
, *.*bns Z"ol Lo",.,*r Fo; R."u^tilor..ol HoFron i , i ' ;
3, p6-rH<^ltt'6o'FrodtluSfi, . ' i i '
rt<-;.d-,nXt1 : I : i
,
t? ro-i"drra56-e(ss'fYl tor<1ueIq.bo9"t I
:
r- i * I -, These For<cs e^e+ q- n<-v
:
.l^ti,;;l;,I-**f;-] ;
ii-l*;;6;;.;-*dl'-*.;'];t-.".i
:
)*-I"-lL.
| . , (!:*,n1.^-;,.il*"l-;i
,
'Y
, Fa ' , tslc el thg
uP ctbie4]
i.t ,t- rot+H^el:elq
eo;tHo,reS t1[rci-Y nlroLce-
1'o.rhtc-e- hcts
!ine-
the Scrrn d
,
:
i *
lr=f''r itl* ' i .
,
I , :,r=*.ntio,.i.:Mar6'rti .fn**=l ",t*tfrf ,
f = ZmiriL I l"lorn€/nh' 4,[ jrnerhtc^.i oT ,q:csr..rt-r'.r, .oF. gortt r.S
i ' ' (.uttihs=
, L'
*a'-' Tn"Sj
pr4oloorti*<r,f ,c-pnsunt Uito , c icnd
; 11ne- .
i lDe.pendSonlhecxfsot:rot<*h,io". , ; : ; : ;
;
,
Nerrltoni z"A rr^1^r $-s. rok+bron li i i |
.^; ;or"* *"t *;d;J li |orq,*e '
, . tr.noe-rqoeslcf,crnSrrtS'.r,cta.*le"q,.5bn .q.t c.^.bor...|, *',", **rF oF rc,|ir+,o
.
^* o(,3Igg! , I r i i : :
t^lhere I ,'s lhQ ,mor",e-nf o$ rineth'gr, , iI
; ,.;i '
I i etrh4r ia.r*s . ' i i
.
.
loiltrou."t-rtll'.*.+.t"i*xis] 1-'
', "i+
m,.. -;h.r.;-.,-
I
i
*q*" ,t"*[.=jO. i,l-,., .u1..r ]nor i I ,
_i,,,,r,ii,.,ji,;i;i
tlir
i;:ii,.iiiii;ii;,i,irlri

17. -l
i
i
I
I
1
R C) hc^h'o
ii
Q: O c+rnrr
Mr-.1.6k5
ll
Jl
I

18. Nq-t
r i-'- i
^1- gots^-b4s
i
r krn cR iq".
l
3 H _Li
i
-l
liz
I I
I

19. I
--l-
i
I
i
I
,-,1-
1
i
__l -._
l
li
- _i-
i
_l_F
-f
*'t-
I
. -t -
I
I
- t-
I
I
'- i'
I
I

20. i
.

21. I
. rl,rJ*ite
" ,Solve
L='2-5rn
li

22. 7 ti
-A 3.O-m-lor5 tcrclcle.r <c^ns er6e.r'nalr cr- frrth'cnless t^ntt
fhin. Vqlve Of ,..,1s t{ncrt r.;1ilt grerrerrt the- lcdele.r Srrn
Atr^=Yle-ts=O,
z-
<- i't^
z'=Y,-W= i I i
'./r c-cr.hcf o$ n.= f,(jcq€
ft- ,t*ifr{Pot }* i
3 -,tFi.'F..l* , u,sqJ-'ao'
Tr"$gqg $+-.1
;
rlrtn'ie"RLl{T .fs= s.
-;a> I fi,.;,f "F* €l.,*$!
r'!
i '
zl?'hLo- ,
-{. -s,r}r'<- fri.tr'on
'T P:ti::>
thgp,^'"t
I
i
I
I
I
I
l
{3c*e. ot Suggorft l-lrre e^recr Lcllto Hne- por'ntS it- woud, I!! voh l
eignf5 t:n eitheq clfrechbn crn
tre-rt- fs'no Trt c-1,
o) c-) 6 6hqht
A efr;<*6r nvda€
*ttt Cend';to
gitt e.r, *9*1
E
F-tl
Bc.se.
oF a,r+Rart
Ve-)rtc-e .z.JF
l
j..-- cr{lr'ecil
j"f q.nqer
tc,v,
olecl
:l
ffJI
li
69
ll
1i
Ir
tl
i
' * -d;inte;;{
tlr-
*
i 8ore, d tuPP*r I
over |he t
is sftr$tq
i
ri
t- * 'i
tl
li

23. ll
il
t:
i
il
.i

24. 7 I
i illh,s
_+,
, , I
''
x8cr:hrerghito Fsh. ,, i
i , i i j
-6ccde 3 sPrr'n3 conne.ciecl 'lo 'lfrre cei!n6. Sprfng's equilibrium lcrrgth ts 3o1.
c, q.o kt- f,*, is 6usp€nd".t fit1 +he,
Ldhen of fhei 6prin3, i{- a}re}cheq,
t o, k4gfh "i 42ew-r "Ji
+
c) Vthatb lR- €griq eorrstant l( 6r H.'is Gprint -n-
AX=L-L. '
AX= L- Lo Gp = -- i r
t-s?=-W :
K=EF/Ax ,
1q= Hp,zax ,J E 4.
Ax= 9,2cm -Socrrn w= 16.3 t<=,311t2o,,.-
AX= l2cm -- o.r2 nn w= t!r.;<qx1.t-l$ k = gjZC.-r .rr 6164,u7- J
' W=Fsp=at.Z*
D rf .-' [.:5 [ev, frow, the sprinS, urhot,i rn+sE-rs"-"'l''o
ffiffiSj}Al*
be*he lenql-hof f{.1 g,.p'i$r? ,
"issusperrt-ed i i r' : , i
'The reslrunhj forcn (= t ilo *ognn o# lln frtD r's proporhronoJ
to the Bheh; oP the-sryinX. tf we ctcxrbte: the wrqss oF the,E"t's1",,
ltre Ax o$ fU
aa oF the sgriq witl doubte as, welf , tu
of S. E?r1.,3 Wltt bg" , :
Lt<,.^r teq+h c)T Tntl *?ri.,S Wili roe-r
Ax= o.ztim
i I
I I i
i
-, i l
f=L.,*ar
t O.Zt{rn
L= O.3Orn SprrhX s*efcruS ) ;
[-o o, al rn :
ti:ill
,* f1?":."yS Sr.,,*d y.l s:P:T{s.. -ile:gni^$ conskub .is lsos/6.' elrcl thg,coe$$icrenl
Ot sk'*.'e $ctclsian UhD.V-c- bU.X Cu c)'tl-'Sr.*[.r6q i$ O,(eO. {1ne. Eprr iS o.+ iest
-.',,t1-'r* t+e sycc,n uuir" Joo nnovql i
;l_r.,*rFft=,lt^*'T*epgv(*ffi 0 , i prin1
rts0ll
- "
-0f
ffi +]he tensb'^ in q nnqsspSS
I
-- pu'"!ts eqr,ro.!-r G boV
hil,u^ t4re gxgeq+e]s-lAs |--"-T"- rEhI .^"d'J*-s,he eprinn rnwer shebrrir,
L:* rhq "*^*"^-?t:*tio'*.r,n^ *..^,.].sfte.klnir
tr*"Jtr STLffi."*
"Eg
-F.rc}iu"r,'tt. r"16)16 tot spri'nt gtr,s tc.dcwqrcl on
' & ep.t"lithe Ffu.,
?-- x 8ig. hc'-rn- R"rr on p,s$ tdi btock ul equo.rl $r*g{+
x Bcrr< is in eo$rc ecruibnsm'.
O
lkto4^= CRp)x -G)x - G,p -$.= €p= KAX . where [^'ffL
AX=
c
q+>r= l{
*s ltr"J.,f;.iriirii)^[r;:-,;"-"
$s_ reaches ils
L|,t rrrr-nnr. fp= Gg--KaX bo^9$ sips ,^ther "tu'#],.; rnox vcrlrre,:
X"I
AX= o.235r.n ,-fl^r +*o a.l- ,.r^:-r^ r-L. Kaclz ti.-s-'. l=Yrt,
6'235r-' 11^" Ftrne. o.1- .;1-,;aq *u b!rcIi sJigsr_f, :arti
t:o:+l+- ,
l
1
Elashci'lthegprtnqrn6so$McrFherr I i 'qr'ue'rlJI i
t
Rig,d', t{c"terrola Unt *r-rire l4.r.q rr,rncrrn e,[ostrr., under norms" €orrl-q , ".
in
ertenros ong v€r,{ smcr." elruqryf c,,,VnenSto1.i t6-i Sh.ei)
- A ve. srnet c,lc-ffAi (sbreb) h6t8 o. fuqe re-Storrhq $o.<-q
h) ho-t kilqe re-Sbrrhq *rrr<-q
?jc*nt'. t'toi:r,t"g Shclut "s c,.e oe$o. *u}r'orr" QilhJ 6mc,,lil
rrt'. l'loterrtr,g *ho"l"Shc,,.^: c.rqe oe$o.rndir'o''* t^lilhtsmc,,!il $.1.,-eS {
L&', {obber)
- F.oKe.'s t^ q*ical1 c,loes no! hu rubber c^nd ofu.r
"-Pptul
mcrtenatrt I
?i ^*f
i:

26. i
-'1
l.-
I
il rl
- j----i-'l * '-!
l
l, i
G-Lt[
F"--l
Ni
ii--
rl
L--_L
il
__
j_.*
i
l-i-
ti
I li
t" r- i*
J
i-i
I
I ii

27. tn
w1(
OU:r<
I r--:-L
[r*'-l;rfrs
Cr-
USE]1
v 7 .- JUVlll I rr,/i ,lL Jlr vllrL^IE
6 Deftne EqmbsS i lor rncrsse-s
t,rTll--7----1, , I

28. 7 i,_"
ti
,tiiriiiii:llil
Sc'seh.l[L. , r , r i i :
.li, i i , . i '?G,.3',
lA irth o spee$ pt ,Zol'Is,, t['s1 hll shq-C* i uC^.n l.-.lq'-d
f :'to*ls, Te jie'1gu.}si1vei
Srce- "$iv|.;b+*,orn fi
o.thcr,vb te itncrx. [orc+ F**',. tha+ t],e !ftt erer,]it oU-
. I c; beccg*qe l Fl iq tD ri e t-o(.c.1 t*l $." rrgh_r i ,o"^fll
o Vlne uc"rt irlojs tsitrfra; s+u"1"1 ih.-l$ Jt+ e-FF cisd i5
IL
'r lvrc I
il bcrcl<ih*er &+ t'l,SY (rpcr*i^b
; N')p fe4ixlei i
, op*,=J" =lco**, ,*, $";,*". I , i
u*"+
,rp*'-*(",ill -;Lto, ;i-'-l ,IIII
(v*)e='lt
-tt ar-, rLvr/F e
:r-r-)r
i
iii i 1
i
Lp* : (o.rsr.g)[--zp*rr)
rl i lo,rt Ft)l.rg-r1) 1
! (r**.)Lo.t'o"r.i
ILo.co* . Ap"=l,o(ti',+ i L , ; ; ; i-i i
i
= F*.r* (g.o* td
i
s.d* rd
-b--Apj.' ,JiXolg-jts-' ; i- '-' ,
rg=Ab,At, r$"$:6.ols-ls b"F='i5,oooxr1
;
OOON :ii rii I
i' irl
:
i i
:uegt..t
-nt rl-1
I App*. i
pprbr i; on ) i;* li;*F t*s3n; iC'"-,-**'^s; *. j*
tr€. ttac.l{ sr..ar torr tVre- inerc^l,ehcrn 1 Rojrces , +r+q, the U5'1S ,
''
I , i I i 1i i i i ,
j
ii
irn?u,siue- ttcc.e olidr, orrsors5n)i
irl
I i "', -, -._, - I
q o$i q:horneing
trb$er 'U"rtt is thr
ilil:iirr:-rii'ri
slrc^iqhr ote,^n rcn +hg^rcfwseu] *r|.';-j t **,i iit{,-l* 1t-
I
.speeIl a$
o$ l,*' ts .
Esttone^le. inelf,ugtrl ql thq bptr:q Ug.^ni.e ;
iT :i C.^
' i
to I ^'
sl $, Htlt*l)!i,,lt*.L
'{"t*,, 'ot}=iJ.i if"l
iLJ s{:
&os
l';"'*:: fi .J1'*,o",
,--Ao'r'
fi :':'ii.1|ltug rll:oirhiJ."*t$ *
llr-
ltls
$u.)=-lmts liL,"fs
.l i-'i't-.'.
i
AD hx n'l2- : O V.rt:,o i *n"iteftP=1 o.t t<g
i
:
I
= B."vtt
o.q1€:!!A
v.)=
Vrt
E rs
t q'*fs
i'"ts
o,to ..
Urti- zg A:l
[;,_,i':@yq*,*>l'il',;i ],i =
+
i
tq,oupcel'#
r,ir
L
t:
I
ili , )"=wr 6Fhir^le ]tt+ $reiuolr tj*^t*,
Fg * '*+i,.i;:ll:-liiiii
, ln
jrl
, rl l
Jzxl
:,:ii:i|iiiIl-ri
r
:r=
; Apzi.
ia$r-,.g
.Ppi)i i, [5ill;"t"AF+&'**t[t,if.ft =",:tsHil3.-*T*:tl'f AiJWSn"."
lr Lz lnaepedrden!
6[ khe inherd*chon jlo.Le , don't, naod lts iknt,ul
lll ' , I i !
itl .c.nrtt"l.5atl.r1tF""[.i",d, I
i'
H.j...'
i iIii
'
,i"p-t"-",iiii' iii
itl'
frnF{h}fn
1 --t.. .--l
',i
-ii,:1,':iiii

29. il"ii.--il"i,-:,l-I
ll'i-l lr
il:i-il,
i r -l i I i i r r- i 1-
KL,
'Bab t'5 rt.r^n.^t f"r* 1+e ph'ce,ancl * o fr+si(r $rlr1l^"fl hf ;""tp$ d.
l
j *rtl-
el*,*o,*.nfllt'1r,r tn,So'r- * hi*. he r. "ot,ull*
on,y. f:'5 7*t
,.^ W hnrtpr.tc.l , strq-l,,BOto $crS, e-, i t|* ;e*.grt -rY:&Fs rs 2!!<g-
S etn.= sFeed s ,.o*!t
urhm he jurnps ll"*t" $he ,.*.F.. Fps€d i*,f.r f.qil
(nn,e)r:-tslb rnorrrc.,h]rn fs jPri=gi i : i , i.i
? lo*" =,z,,K3 ?' rnr *' lbo ki Pi:(m, R [rno'r''.)(v'h *tfi]*Xllili i i
I
ur=? ,
i
''=3 i # i i, . ,.,t IP+'(me
(vo);,,{ri'a I tffi i i i- r i"'i
"'^ '--r'D
a' j
. ;
VD*=$Yg)i.!!es)ii
tq..rno) i
i
i
A
a(J
iii,ii,"iiirir
riti
'i
iil
'i
l;i , [Vr.)e+3.o'l'15 ; , ; I
ii;l
l:iij
, 1 :' i
i i r I i
;
o6ron5 i
i-t o .,* lo1iefi, fq{errse r'rr+o'***
liiiii,l
,rArn5i o|- c6gc..rcl i5 l*f
-l =q-: :Y
'tr:i'lt l-l
,rr lffq- grgloqrcsn tlill bq
it,t,
jir-"-rrriii
iii;'i,i
ilri o 'spc-.t .'F
J, b ri*.
l, =" $l ,
Fr*r:o; . r i ;
F=jRI=q i (Y*14 i . ;
i
Sharn i
ii (vi)r =6 i
'Nffi mil
)e:ll$fiAsii;
r knJr '
ti
I
, ;Ql*)r,i, iii
)n= -o.Frits
l:il i',riil l
l,riirii
,,iril,i,
| ,rr"t I tr"jp.r1 thq. i -brt,4=0,
i *d, ii-;i
**
ilii ;rf
i ff
,<ope-!i.e
it ii-i,iii
i:-l.liliji
I u.'n+i r{,''{*Ln["t i i
'i
)1,
5'tl
.
J
I