jt .; u: - sogangmaths.sogang.ac.kr/jlee/syllabus/09-02/fm/fm-solution.pdf · i . :#1 . u",...
TRANSCRIPT
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i .
:#1 U", =- Ll · .().~t o( U , .
0( :
o A G I~\'· : -kw '\" = Jt .; u:: 2 '3.;- "f"-/s
6A::: 'r« 5 ttL
~) hMe cJ tluz-f·1.1U
Q» hei'j lvr "f ~ 'fvwer
U/.U2, ~ VO/l~ u..Q. d~~+~e tor11l\hJa.. s := U t + ,~ C\t e,
~ hDh 2bntf-A\ ~'~ce -tot1\11-\..14 .) ~ U t
CC ') .1. . (£t'~!)... z» t = - u.\), c -t '2 QJ l;
~ - U"~ 0( t -t -i ~ 't2-. t~
:=: - 2~. 5 x ~ t -+ ~ x ~. 5"
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:tf:.2lp,b/ M2.)
. (l CAA 6) ~M.d \ 000 k~
• '\J ~ 2..5 ~s
• )\;.. 0( = it. EVla-I~.e pllwer :::. ~t+ k 'N
~) ~ .e.s~st-1Jt4A u. h. tIu- ~ hl1Y\ ? l~ l1t-fu ~ '1 10.. h,~~/ ~ ro~.l ~ h6V\~~~
cu.auMIV\1 Rt.:1 ~"W\1~ flV\.'J- -tea. In:lf..A.J-. w..e~
<;o~
\().) EY\~ Po\AJ.-.lA. =- Rrrc-e. x ;4 p...e.e.J.
~4ooo - ~ x: '\J z; ~ .x.2-S
.~ 11 - .2..4-1100 _ Cf 6 0 -.! :tS'
- II :::. 1< -r fh~ ~ t>(
R ==. T\ - fV\~ ~ b(
\ ..:: Cf b0 - looo X~. 8 ». TZt::. 260 I
Ii - R ~ F = I'ha"
460 - 2b 0 =: 100 0 0..
-.- a..;:::-
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• •
.\ .
\~V=3
<;)..- TtJ<e Y'nD M.e"h lO-) /
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'. .
=1t4. 1/'"'(0) = \0 rF -+ 7)° ." 0 ./
It- -:::. 41 -\-3.f ito) == o , .
~) IH4) (\'j l 0 t 'l-) I SDI I}: =- 4 It + 5Jo
)0/ J; ::::. ~-t.-+ Cl ) 0° -+ l3 i:- t c:J.)Jb
/ 1..... .
• 0 0SlVlLR. rtv) ~ ([)..; C1= (2 -==0) lr:::. 4-t II -+ ~ t J 1t-(4) :::. I c ~. + 12jD --:, (c..)
Ir- -:::. @t:l-t dI) It -+ Q:-t'2.t- J2.)J S,nCQ Ir[D) -= 10 11°+ 7Jc) d == 10/ d. -=- 7
l 2
-: Ir = (2.t -:L+10) 110 -+ (~ t ~ ~ )J/' /rlf) -=. 4 2 ,0 + J ',f
111"(4)/ ~ J42"#+31"- = 52, '1. __ ([")
F"lnJ.. l"-) c....J"'rf 1YIM4. (x) 5) (~ \,J~', £e. h~B lYJj tDlrQM- A/
iM ~u;Q; brilAWl/ fWd ~ Ct~Ie.
k-~ AS .r cLow"W<1A<{ l/-"-'lh'~L ['< L-tR"R'ttlo t>f 32 4g f}oYV'\A..<IA
cL's f-WIIL e ~ YV\1Il AB X I) 4ct'sf-C{V)U2 1YlJt1" Bc.. I c 5 I-~h n& VV1tr»1.Qvt"kJ tt-bo wt A Bj Bc..
3.1 X -+48 *5 = 80)( If ~ x ~ J.E;
32 f -i 4 ~ )( 6 = ~)( 5 ~"1::::- ?. 5
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Q€C D [V I~~ ~h ~1/ '1 -h. it.a. I'" &,.l'\.l..J. r ~t1 ~ LVe.. ~ 4{- I 2... ':1.q.R::. rh j C-lR I>( -=:. 2 j »; '3 ::: 13 ~
F /M R =- i .~ ~ ~ ~~ j
W()I-K ~e ~~ 1h\~
- FUl'"L-e )<. cL~rl-aMt: €
= F;t =. -!2:-. ~ ;t
13 .
Now/ 3tA,n~ PE =- n-'l5 h ==..2..~'X~~
::: ~~)(
IDst k t ::: 1: W\ 17:2-1-;
2.. =:-L rk _c. '1. = J. -2'5 =2!:>.2. 7 2
Work - E"'e~ P/\~u.,!-e./ ,'N6rk dtJ")le e;;~f ~r~~ _ 1S I l"I-P.:.t.
, . lost- kt; - d~ Pf
,\ E lj X ::::,)..r l"!
.. I) ..1 X -::: .2 5",,'22 ;<. ~ "::. I. t)D 7
:::.. t\ 5 "'V
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:#7 (P.51 1J1 ~ cp~
CIA) "i =:?" rlf"B =? ,
(1,) w~ to.s 1- k E -::: -h 1t\f1~ /(E:.J
~D! (n Gr,s~~ Oy fl.-r'LlAA M.oO\.AAf-uttt
mI l1t +flA2 U. 2. =- 'Mt- '\Jj +11\ 2. ''It.i .: p( V = 1'1JA -+.2/ ""E ..'- ~ -r~ ==v
V,) ~.ew~ ~h~
'\f~ 'llB-~ e= 'll~, -::: y
..', '\J": .... T"" c» VB -'VA = '~
In ~/ ~::: j U-2e) Y
VB ==. 1 Ut e) V
1y):~J k E
=- ±/'Itl u,2- -t l M;l. tL2.2
:::: 1: M VJ... -+ ~ .2P.\·O!L = i ~ Va,
::f-' 'Y\~ k E-L A'-'>- 1 '2..=- 2. ~l 'V, --\- 2. M,2 1T.,J..
==- ±t\-t ~~ -t { 2." 'VB:L
-.1.. I ~V::t. I -v: - .2. m q (1-:2.e) + Yh. ~ L(f €)
1$1 tl4Au.mp+-l~/ 1~;h'A..Q icE - ~'.y,.J2 k t
- lust- kE ::::. J. »c 1~;k.,J) kE
L.
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[")Ca."" ;"',,)1 ~ c::9" P:'f-" r ~ (M-ecl",;U ))
-tt=1
h~ ~ UM.f--"" cfb M4A4
n,,~..J. 2tMtu .( ~fl~~ A
M =- 2 , ~l-A 13
(~ \"" _ >-... 0tl\- _ :l ..Q..xt-~ 'A - 7 - >... L -=- 2 ·T/?,
L-x:
p
~ li) ~ =(;UM~ httLe.
QJ) ~; orJ.- '1-1\-tv -h~e
~ 4U = 'bWW \A = lnlf-~
::::z:t;L t. L-Jt =- 1[
-- W::II l-t~1) 3 =£
l))
IT OC I3
1- =- (A~~ t) = ~ AM-(1L~)
-h." x=\2 2--~~
. '~l= 21 -_II
k~~h ( £I\.QA 91- rt> P~ -;,r ~ C
kE = ~"' 1l"~" ~ "'~W~l~'-;L") ~ ~. ~ · [~)'- ( 2'-1') " ~:
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tr-~ m>J.
~) G,~ tt = C-tmsfMVt/ S-l:lo) =- ?
") 0 = I 0 + tt . .:10=- 10-+ o.-t. )
, 1\ - i.... ~ (,A. ~
\~~(.Q 'V = '0 +1:. S = lot + ~ ..e
, _ S ( ~) = 400 l'V\.
,)r c< ={ (1;,:::. 7\.: ' / \' '
(jl) S (>n) = ?
o = 0<'-1- ~ ,.lO
t = ~ V=- ,0/
-===;?i ?, 0:::' 0(''''0 -t ~ ~ . :.La::" -t I 0
S=~vdt ~
S{~o) -== 4ib~ 3
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II d ' ~ f1-t,bl~ sk"ul& ko reAJ a. = h\. I Ll4.. DJq~lA..1.. r'h D~~ I I
~-r--~
""'j ,J"r s~ co '"fJ M5
rL~: (t>0Fp =? \}) OC =?
solt-d-t ~
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~)
'\)~~ tAl- (G~ (A)'J. - x~ )
!\J = tVVr\A X ~)( -=:. D
It '\J""'-o
s /;.Lnj
, IS (6lltlh~~) V" ,",-* -s
--.I~-~-_.:.....!....--
0-) skol-0 ~ =- i (Y) F~ '\J~ ~ t~ IT) ~ ~ db Q
1 V "' 2., 0...~) W~ ~ ~~~ v.JOCA~ ~ B t4 ~ ~ V \111\ +~ t>-t ~ ci «
)~ AI~ A) ~~ ~t :=- le:d p£
~ --= fA ClR r{ - C\. Ct:R ~ ~ 3
4- ~ - UR~ a.
o.~~
, 1\J1-= ~~(A(zf -~~ ) -CD -V:l-At IS ~ =: yY\ ' 0: ==- rn~ ~~ /
-.•
112-
= 0ct~0' - GJ
CD -t-@ ~ ~ :c:- ~ . ' . ~=- ~
MtfYeo~ ~'2..-= ~ ~~
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l~ kE :::: ~ fE~c / i W\ ( V~ 1J2-) =- M ~. ~ c-;
=7 V L~ ~ f!J ~ A
h ~l. ~ (~' 1-~ {)1 twva-J
LJSln, j: 'YVf-e-Y'~~ ,
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W G ~ ~ uJ..f/\j tt4 i'YVW\ c ~ x
It-e.. )0'J l-t-t-x)=i ~kl~{+,,)
i-t?-- .J.. x ~ _i h'2. + . ~ hI< 12 ~
\ -.l 2. .l h 2l-i lo, + 1 J -X -=- 2. R.. - 1'2..
~ 1 :L~ .{ ~ '. rv '- 1\.-=
,.f ~ -t 1'2- ~
l"-) <h~w ~ i c£..'-"> h'.1 -J{\IS ~~ I,tl Ut... r~sf- I~ JLc..~l \bY\ ·Ll\rvv t-\ h/)n·2~"",~.JL rl~"e w~ ~ ~ . 0 In'\ , "/
SV '-~~ lJt> fu c.yIIVlt!~r hl,.lvk l~l llvz. r/a.h€.
C;o ~ r t '2-_ \...'L. - X~ 0 _ ~o
4 h.-l2 i
\0J ~ ~t..t--\ c"r\\'\/lko L4 ih ~ ey ~I~ I
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