a1 'J,1 T*oril z (t)

9 rl g.lt

.+R'.fron ti )

P, -114ql-i- z6trky, = ro5'rv1 /,

v, "l

P, = 4gPn

JL= r4ok

-_ ty1, _ Mt0t.^/, , ftd,1 =O:olfi#*l*flv

9-le"-ag fion)

M'=frt

P,Vr/r- (,v,f,A':Ar

,"\?-v,=(,v, -A)l\ir is comPr*sibla

,,lL Pr,, RT, r r

= ll!f^ -\-.----:- _fl,.)f, 1 xgk) \,/

s*h O !.O into 0

=?:_FTr

!Sll,nRcl 'l4k)

(,

4Etlt ,r : 7ltnt/1Tn( p 1"1 pQ6{11 "l

\,= 3t+,13 n/s

94c*f,4l\ Cl)5.4E

<-ifvr ,D;. d,-3oo fnril

p,' [00I.Pq (g-3")Vr'2tn13

[k'q = loot4^

Th-c g ,{trechaYl cdqFonun+

f,v =d

lrt *lrc x-dr'^eclL1;n /

Q ' --&-

lu*v,= ftto rc)"v',';' V"=

of {ltc li^e4r mov^Ln+un :

mr*ltl i

V, to ifT L()"

3.vl( V1

*f/6;*Mi, + J., uPv fi +^ --Grl cfi+/1 =€/ ?,fr]1-P.-{\-

l ?.=om'r,u,fhr 'U rll'QU1A,

*- ,-ur.' on- ( bpposfu direeirbp ) = 'rooo|'

= (oW (*X, ikrotOoolo.t t )tfr

-rlk^2- \ -M1--!rf 4->

M r = Il\',

-u,(n -i,(u, - -Rx 4?74r +p'41

Rr = n^ (ur 'l-u,.l -f P, ft ' t"P- At

= (rq | ,*# )[ u,n u, u R [-*.,7

=[qt.r1)tu, + 3,y{ ur)+ tooxlo3 (o'0775

= r,xfi ,oz + ?40-- 1341.dl lv+

.:'(;

"l*t,ffi,r1

;^rf*f

57s

Tnlw

8" l-e, ' tl')hr'

(x = YJ^LBx

= 6 tJ (040n) = o,1(,N

i ?ri1',7

t ..-7+

!:',/, i!_i

('.?O.ttlt. tyl

t loin

't0-lOrYl

l(Jr,L,

-A.ASo n

Jr, u Pv 'rr' cift

h4oll - htin

= 5F*

= -Rx

ln X -dlrettL"Yl ,: /Ioqob

Y1.fftv,1rv',p4,(vr) / R x

--u

tr! = o.tlo N

1towkX1,|)(*.rto or),

= li itL

Vl = 2.31 ,nls #

(9- = A,V,

= t[o o)-"(tz1)

= a . L6Z ,11o-Y ,* f s

5 -16

No>rLe .cxti- atQa nttno") Iol'otqltv< vdoe\5 - 13 mna'

-e l(wrls

Ca) 0= 0" ( Tor4ue {vqui'{Zd ln hotJ thq n{or

^( onof+ = vL FoutVo y1 Cog Srnt =(& =7 Vor$ =

6.= 3 (a1y1rrnexir) Voul

ti'ur = ((N rior Qf^-".**) (,rs o

Tsni+

0L chaff =

= (g nw aso

[Q.-f ^,v[ tol 0 Il-l_'-|

: L llnailt evt+ )=0

W(+i( #iros'n)(toso")3 ( t8 m,frl .-t Mu- - )" \ - )/' \ [-ooot>oo ,ydt- /

l3f -5 ,1 n #

M row (.rnl*u- A Ld)

+,,\)

_a =-==3L4tto-nh -r+16$) - \,,. ^ . _n d-

s kt I -- \ ru4l!9 o*uf M- )

s I tav^@-n \ n))Yrnorl( tnfi' /195-l 'q(/r #

$taft'rn*;3;

o_

3CA nar.rn ert J

-o"t) 'o

*u)- r/*l

3L4 ry77a. s^rt)

-- rt+ rou+ ( tlo+-r-

-rcn"pffi

rLoff ; 6Q=

Vot.t=

t^) :

7---

t:?6

[b)

(cottl'ry

s =3o. %,'^tr. /!" Pl I

?*w -- (tooo tsv,o<;[rrr, |u" irl r7,' rt,f .t

r r "*\.,3 t,y-wltmd(ryMl: 2o0't g ", o-,: Llo-S Nm i

d#ft#t(#t

ftsh,ft -'o

o =lF€n*[fS*T-**,) -r**](o s "t) t\)

w - Go -+ ,qd6

= furd

(c) A= 60"

Tr,,q = lW lt'trl"L#)Tp s,,,1[ l,-,.{ I tr*^,,flt(ETvNw, Lt?a,frtlLT*, )= /fr.TvNnfiLsh<ff = 0

Qcos 0

Z h^o-Dk 1yi+.\

r,) =( 5 r1t )GosG6()[rr- prf

t f (" 3|vN) Lrr,(JL"t,rt: Ia L m*/.

#

1r trc t)Lt*-a7 |

a

1-

-\lVl, -rn, = 'Fq.-tJ+zftr,otrr

ri [v, cos 30")- m (v, ) - - Fn _ (Nu!ty-t"r /vn I Vr co* 30'- Vr ) = - 0. , 61- Mcnn"g

rYic,n g -- ( V, -t4 ror 3p) rn _ o - I

: ( 30- 3ocor ]o")((qr/,) - o. I

- t+ o(lit(,+J t{at1ficr21,1

: f.06E f.J

lvllon = l0(EN-q-ffi*--"

- o rorr ! #

W l,ey*Ior " rlg

= ,jrl."* g

-o tA/

./llilarrnl t' La)

)+&_-

vk)-)

u) tJ)

l*)x4t Poiti+'[t] , ?, =2n ,'lr=o , V,=1.

^ 4+ pcirrt 5L ) , ,1

> =10 m , p.= uuf rn" , V-,,=t)

{\ t"t+xF, = f.,r ),,frirt7,t&lu $ruid . (,.,?, j Ir = /,

* pvi'+){r

*pv,' + I(i)-l

*p u,'

v,"

- -to *t$,

= *+t(iq-H):

tlt * tl'] nls .F

= p, + I?.,

= to + ).[rc,)

- r,o+ f\='riro *_PfJ

I

:

l'

3r4 /

\'r lm

t'4:

I

!

ii.-

--->(_D

P r = 4oLP"

P"= I ,?r'-1

-[eos, -* = # j coro=t, o =16"

-xL,)- 3* - l!.*. _:=_tu;6-11 en- u e-n

Ji=,+ a" = -J..,r 1, - jJ,, S "i .

? -P, : -)1n -- r,V" I^ .,#"P '?r -Zn*gv'f"C*n)

pr= tl-ot-? A , \,-- l.

) P,. rto kfa -9.trxt# N f,1.,r(l'n ) *

?. . lf tr b'ta ,4

=-) p3= 4o L?^-q.Brxttf/m.(:*)_.

P, = -rr'1Lgag

{r(9

rolE/,n.,r1tou=itn ffi)

3

lo

ro3l''t (ro S)#.' J/

33K )i

rI

Jf..l

jon* ,. ."

o

V 1 .y '/1,t-Y'fr r tr0 ,v,

o

L?,

6-i -0 6)u

?u -.o,F,*!tft ylr = p" *Pt=0 , r,=4 =O

?, -4: H

P. = It, -Xz,P' = )'()r -'?>)Pr=YH -O

Fr = P, +y L -@

rlAV

_ P:\ ,,/'' -'T- I vJ,

..'D ', FT,P,

?t6

Pl - Y(72-Z)=[Qtm Vri)t. 5? ? f,Pq

3'40,1-

H

T

0

=/u; + bz,

6; irt.@ Pr = P'l

YW = Y(t4_h+ sEh )( sft- {) i' =1rf sfr*ot tipn

. P+= 1ii d(+t+r-h) *eqlh {,Qi ;nl-c ()

?" riJ = tr(pr,{:.-h) 1s6}h

h=o frrr,,,1 icf=xP,= Y(H-h+sq/,) -O

3.51 [3 30J

P;

d'lrn ,(t)

(l) *-$ r/'-

Vt'7>

v7-vJ

,f\I o'>\ll

]-3

r"aLt

0

P, t*T,q +x

V,"*[+guJ'=-ttl'l =

v, -

u1 -

*r{r, )

P,-?, = +? Lrl,"-V) *d)t)) IYlanomcV/:

P.-P,= Irr-o(o-r)

?i= P,-\6W *I,*,otoz)

P; , P" - y("ct )

P, = P, * b*,o b >)

Pr-}, . bF,o [o >) - OYrrro (0.)) .*g Lv,,-t/rn)

{g (o->) = tyu}-v})Lvl*v:) = r(oz)g

Q,=Q-r1"Cv,) = YO)'y.

tf ) Covrt+

vr=U-! v,(0,)

v; #v, *d)

o.Vg.v)

3 qr+

(l ;*, Q)

v,'L I

---

3.ft 13,8c) &o'ttrntn-o flo,n *U t tl

?oirni Ul LG)

f: i,tt7z7oY*r,0.)m , ,i

*H,tgr| 'r

J -;-glo.otrn D'))

Pry " "4a.

V-u'0't-r6i& ufl

s I.E1 rnls #

W-* */"=ff:$ rr'Pr =o ,?r=0 rXt-a ,Tt-,Q"zln

= 1e,uyf;tq*o - (o t)

Yr= o.rt1 (yg)= 1,163,ypr1

From fnArrovYrst+f

?'= Y6'o {1

Q1 =Ar v,)

A,V, = \V, q

fro-o,lu, --XDLTLW)

l)4 ?. *TI" looo 1.1 2t)

- o.t)fl yv1 #

Oi A.V- - g rri, O

= ri(o-t)1o.pvro5)lr,sil vl_(, oQ!,l _,0_L

'/ o eofQvl =atQ3)vi= e -Paq r

Vop' a'W *[tPoixf (l ) *a C?-) ()

F;fin/'-+rWl.-Pr =O ,Tt-\ ,Z-.0-- ,Vr..0 fstagnaFan P.inD

Pr = V,LT E-U'

4

\ ''*t'-o

A+; = [o I )( o.l-xro'rJ ( \,5)

vq= o'etf y, -@)