Engineering mechanics 1 handwritten classes notes (study materials) for IES PSUs GATE
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About This Presentation
Engineering mechanics Gate ME (Mechanical Engineering) handwritten coaching classes notes (study materials) for IES PSUs GATE
Slide Content
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tptlr,qe N rah44 a,gi.e ("4, olf cnu-tack ='l8o')
t
u: o'r'i .( bml<'"6 #"gueu ls t -
Qgo tv
Trtr
Dknef rnofi o r^
i
'fz
=
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\<aviy *he dyuv*
= {OoN
[t;^-r
tl
Tr
= rt Q$pra^N@
4go = f, u€')sxfr
Tr = lS2'?7
brqll4# Io-r
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= C4oo - (sz'gil xo')s
0
I
25
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r\Mx., v&r,of
w
P
tB*
lwv,y
+o
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-lhe
r/€ b,O UleYr,tYY
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drun!Page 25
q,
torlacl b inc,ruEc hi"h'onal [wc*t /tncresre{.
I U [email protected] 928,t236981
Sru dbo
@
D-
t-
=
tooo eo'3x +
Aelo. 4'l N
t0{o
q , A ftrce of 4oo N ds o+Ptr./ +o bre.aK down dtv r,',n
ot, O.s rn" &hvvtrJ-r.J- trr^- baurA bftqke %fu
q
shoo..ltu-
tptlr,qe N rah44 a,gi.e ("4, olf cnu-tack ='l8o')
t
u: o'r'i .( bml<'"6 #"gueu ls t -
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Trtr
Dknef rnofi o r^
i
'fz
=
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brqll4# Io-r
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0
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25
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r\Mx., v&r,of
w
P
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L,
\-
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t--
I
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a
q,A
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P;looN rfs
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l\4.qarrnull4 tlq iPw
I,L: o. 3
ow- Wake leYu
26
shI}ulLoo -at
M %be:t
q kqqn M oJ te,rrcv.:
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f= 2^eoN
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A 3n- abo+e
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bleit, braU46 dwddd i"tbo*-d" 2
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t, xz+o
3 -8eqxo:2,f ?€g_ x 0:2
frye
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I
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a
q,A
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I,L: o. 3
ow- Wake leYu
26
shI}ulLoo -at
M %be:t
q kqqn M oJ te,rrcv.:
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Pqll?:
:$z.2.
,-q N
A 3n- abo+e
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bleit, braU46 dwddd i"tbo*-d" 2
-l
l
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t, xz+o
3 -8eqxo:2,f ?€g_ x 0:2
frye
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O' t4o(,=
o;1
. ,U&oL = o.2
tffx" @( = O.2g
. tgJ,r,X s 0.8
Uodr@,
t'
)
zT
0 . fi'g . shohrs luro blot/< al Q4wt 008' desifr*oded. 4 w, N
N: c.ol,nec+ed +aniil'rtL ,i a-'Yad attd.
f@rur..:*^,,^y
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^ql,'
c(' cn&*H"'ffiiii[7":'l')l"P!/,;*"""
blouks oltf eu$tw
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@
e
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o' SdLogo(
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td st/ro(
-
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T =
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1.
O It^'*4"
-
tl $" or
6 'L$olo(
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Z*= 0
td Srorat =
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hJ Shs(
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=
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o;1
. ,U&oL = o.2
tffx" @( = O.2g
. tgJ,r,X s 0.8
Uodr@,
t'
)
zT
0 . fi'g . shohrs luro blot/< al Q4wt 008' desifr*oded. 4 w, N
N: c.ol,nec+ed +aniil'rtL ,i a-'Yad attd.
f@rur..:*^,,^y
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^ql,'
c(' cn&*H"'ffiiii[7":'l')l"P!/,;*"""
blouks oltf eu$tw
* ftane
- ore llr = 0'2, lJz= 0,3 ,4=t
@
@
e
'
o' SdLogo(
'
. (,s@
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Z*= o
Tt
td st/ro(
-
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T =
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O It^'*4"
-
tl $" or
6 'L$olo(
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=
O.2SPage 27
ptotut
also . q.
,t
i{s
r: \.
l.
l.
I
lr
l'
1,.
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\_
\_
\,
L
i
L
\*
,!
.L
:-
Princi pte ol, Vfupagl ttjrrK f -
' (,(1 wUane ds o, su)ar
blen a*
:8.
a^d
Whe*e
hndasion .'- thu
sca)o* qtM
I
*r7,
dD+@
- -, --
(/urk done
'tt
o) L verlw< tt a
v
scda;, q qa^litq .-r--
J
@,lrindple o]- virtwl, ,^rork : .
-
3t- slqles
Y
cAJ hen G- boh is iot q,ttlibrwvn,&e
virttral ucovk ic alpli coble onla whet
Yut t e , be4+L ie- rn, ;; Udii|;
- 0-
|
Note:- (i) prrnuple
bds ie a*
$n
@_-wdlnate '6db.
f{:nd cn-o;rd/ryqqCs
{mces
ar,e *t,
,:,,,, ,,,,,, ,,,,
(ii) 4t ucfg elun/r'out o). a{
"i
ibriqrrt, U bae unsuwrg
a^d aifb*r*
Fo*i ,S* use
Fr,iPte
of virhra/ ulorK
?tocedare :
.ffilT.at<e!w[,d^P.l,ttn-lh"-W
arlan
d,,
+rhd, _Vi_r"ilot, _d.r'optorenr_qhk_:. .__
of att +\ePage 28
also . q.
,t
i{s
r: \.
l.
l.
I
lr
l'
1,.
\-
\_
\_
\,
L
i
L
\*
,!
.L
:-
Princi pte ol, Vfupagl ttjrrK f -
' (,(1 wUane ds o, su)ar
blen a*
:8.
a^d
Whe*e
hndasion .'- thu
sca)o* qtM
I
*r7,
dD+@
- -, --
(/urk done
'tt
o) L verlw< tt a
v
scda;, q qa^litq .-r--
J
@,lrindple o]- virtwl, ,^rork : .
-
3t- slqles
Y
cAJ hen G- boh is iot q,ttlibrwvn,&e
virttral ucovk ic alpli coble onla whet
Yut t e , be4+L ie- rn, ;; Udii|;
- 0-
|
Note:- (i) prrnuple
bds ie a*
$n
@_-wdlnate '6db.
f{:nd cn-o;rd/ryqqCs
{mces
ar,e *t,
,:,,,, ,,,,,, ,,,,
(ii) 4t ucfg elun/r'out o). a{
"i
ibriqrrt, U bae unsuwrg
a^d aifb*r*
Fo*i ,S* use
Fr,iPte
of virhra/ ulorK
?tocedare :
.ffilT.at<e!w[,d^P.l,ttn-lh"-W
arlan
d,,
+rhd, _Vi_r"ilot, _d.r'optorenr_qhk_:. .__
of att +\ePage 28
g+f e : Use pnnci Pte of
9 fur LtaT bryf nne&amism
t#n a.QrL 'P 8 & *c ker+ it
shotnlrr.
'tn
h'fr' *dd;onthip
P-=0
P=
3Q
Q=
3P
P-: VQ
2k= O
Hot P-q e- O.--(D
[.10.* tlnknoorlo,r ) [rr",,?l
5rnn'
q' /
-r .'"1* = f(=rt=o)
.' . Use
frrciPlc
ed. viriwl tport<
virlual urflid( 4o
find
rrylqtnww
'
xau*.CxouixAiiisrgcnarr-.coru s784236e8{
1)
br
J
9
b
-.6#
\it|)
x
$+A Tr" a l
oh*d Pr,rr
'o'
# '
4^d
.}nnd'
.o'- ordanalu oter
fi'rra
co - wdi'nAtet of all
-
e(A a Q^C-w,O,O>
rh
[roblen
N,
X
qt^d
Y ar
du"
shotnn 1-
o4e adi? .
:
6orrrtl
u..
,Xrb .
td hare (arcnt
(a
"co*e ,
o)
'
R.n!! . fr&t+{ &PPtaczrne,'^fs' .,
&o = 2aSing 5B
6^r: 6o,Srhg 5e
V6t OPage 29
9 fur LtaT bryf nne&amism
t#n a.QrL 'P 8 & *c ker+ it
shotnlrr.
'tn
h'fr' *dd;onthip
P-=0
P=
3Q
Q=
3P
P-: VQ
2k= O
Hot P-q e- O.--(D
[.10.* tlnknoorlo,r ) [rr",,?l
5rnn'
q' /
-r .'"1* = f(=rt=o)
.' . Use
frrciPlc
ed. viriwl tport<
virlual urflid( 4o
find
rrylqtnww
'
xau*.CxouixAiiisrgcnarr-.coru s784236e8{
1)
br
J
9
b
-.6#
\it|)
x
$+A Tr" a l
oh*d Pr,rr
'o'
# '
4^d
.}nnd'
.o'- ordanalu oter
fi'rra
co - wdi'nAtet of all
-
e(A a Q^C-w,O,O>
rh
[roblen
N,
X
qt^d
Y ar
du"
shotnn 1-
o4e adi? .
:
6orrrtl
u..
,Xrb .
td hare (arcnt
(a
"co*e ,
o)
'
R.n!! . fr&t+{ &PPtaczrne,'^fs' .,
&o = 2aSing 5B
6^r: 6o,Srhg 5e
V6t OPage 29
a6e
l
A
sh
e9l
I
t.
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*t czs .
U
u{ta(K 1o
{/nd
<o"
unkno urt^
g,
$
+;
0(.l)l't
p. .L4k +-
*2e
60- .S-'hg
I
Itu'
f* s*Fported Uy 2 bar6 o-t
.l ' P' *1* nA ro' " k".P ir rn
?
ilbz
u
Jc-
o
rT--1
.'. Vinuple ,k
'virTt,al
urcr11 .
.
6to -
Srzl I- 46ePage 30
l
A
sh
e9l
I
t.
\_
\*
\-
\_-
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\-
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frinitlat
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*t czs .
U
u{ta(K 1o
{/nd
<o"
unkno urt^
g,
$
+;
0(.l)l't
p. .L4k +-
*2e
60- .S-'hg
I
Itu'
f* s*Fported Uy 2 bar6 o-t
.l ' P' *1* nA ro' " k".P ir rn
?
ilbz
u
Jc-
o
rT--1
.'. Vinuple ,k
'virTt,al
urcr11 .
.
6to -
Srzl I- 46ePage 30
i
i
I
l
I
l
I
I
.a
I
Sin 0
hl_5qa+P6Js= o
p (t @e) ?o
g+@: , Virts,a/ &ql ::
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6*6=dcIq405'0
6,1. z-- t'.r-{l c0 oo+ 0 d 5
4= O
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'
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=
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Sd"r 0
& . V ir-r.t+f oilerK elqalre,- )
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a
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P : Jq fu/^,O
' L
'
.:Page 31
i
I
l
I
l
I
I
.a
I
Sin 0
hl_5qa+P6Js= o
p (t @e) ?o
g+@: , Virts,a/ &ql ::
6to' - 1. w6 de ,--:
6*6=dcIq405'0
6,1. z-- t'.r-{l c0 oo+ 0 d 5
4= O
+P r6xa =
PS{g -
'
L PL cosE
=
NL Coj 0
Sd"r 0
& . V ir-r.t+f oilerK elqalre,- )
,,.,E
5r,
a
[email protected] 9784236981
P : Jq fu/^,O
' L
'
.:Page 31
\-,
\--
\-
\-
\*
\-
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L
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a
KAuAl.CiouourniCsreremrri.cou Cioniiossr
Ls+ mo Y^eJA,f o l W1a,*'
r
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oj. lWc,knerx
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ts
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ls
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ls
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S r-i \arly,TVf
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@.
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. dte ctqnELll,^t, blrc.fo
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9 i,rrfu/re mrmwrt
An M
vechV'ot$
rn odoat ,
Nor€.'-
'rrnpul,t,eand monenlum'qre vedotquan*i'il'e!,,
Lonnb| z_ ! -
AuA v'tlirte_a* (fu;t'ii, i,onw*
a^)
gina
ce
rn otr'oyrs
cqtvi hh esA
t^lnrifr
,
!"i summ,f/.t''an
frAnmiyrrL
- -eq
uf; +" o rec.tt Qyeta
h can &- w|{tcna"
mob'on
'*r
l,utl.
Jr"
= "Lh esr.
IryyfulsePage 90
@
jG'x) dt =
+Cv*-vnx
j€v)dr=#(vt-vor)
,l
a
xlr.ltlr-.CnouoxmiCsreorsrir-.con ezsazsesst
Ve&r qnnifisr,t ) -
t'S 3 NS amd
fut$u,Ue ts +
E - 3k irnpulse
dr$e(1,'oi I's 4 Ns,
l'oo X - dJ'rYL
wsujlqnt
r't.t Y
4N-sec.
i- Rra*,^,, (in
Pulse
rnornenf
Zrvl. I.a
i^^' i
C#)
g-; $N.Se
rh)-
[ :a,,,
3
J
trO
,
t*
-r^l
) :
c-halnVt i',t anytoo-
rno,rn wlum,Page 91
jG'x) dt =
+Cv*-vnx
j€v)dr=#(vt-vor)
,l
a
xlr.ltlr-.CnouoxmiCsreorsrir-.con ezsazsesst
Ve&r qnnifisr,t ) -
t'S 3 NS amd
fut$u,Ue ts +
E - 3k irnpulse
dr$e(1,'oi I's 4 Ns,
l'oo X - dJ'rYL
wsujlqnt
r't.t Y
4N-sec.
i- Rra*,^,, (in
Pulse
rnornenf
Zrvl. I.a
i^^' i
C#)
g-; $N.Se
rh)-
[ :a,,,
3
J
trO
,
t*
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c-halnVt i',t anytoo-
rno,rn wlum,Page 91
-v
llPu,t
^.
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-a!,rP
rotafior4
,o:
r<[email protected] sisaioeger
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\*
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l\-
J
Jer
df,
hnccltG l- Lqt^l ol cnnseq,v0.fi'qn oI lt'meatr montutttrw :-
_ -Vr,
o
' ",fr'
;vr- >
o
,..,.......Ip1.........
bW, rrrplagf s
ffiu'
,E"l
ou'
. frlr-
[;il;
_ _ ': '..l_r- ,.---'-:- '."_ i. -
mOm enlUrrn
A-N l*pil;e
= i(r- Ai,
3
a
\:l
-Lu,t
.
P tona
lesrn
"gprtren
te gn#al rno.a enfrirrt.
fv\ofronn" ( lm Pu.lserno rn enf e4 4.)
i-
{,',tv;-t;;)
;,
ff1..
tr-yd
je-o}dr: :. (*
'i
Cq.rL " be t cti tt-eru as , : -
fe
Nt;)-.-il ; r;G_wo)
a.-m
fln d*,,ptaae
rnohbau,,
T-_ fi y' J*
p'lane
rnOtoorf
N org: -
,
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Lm,y# f n"zti
d.hl
-UPage 92
llPu,t
^.
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rotafior4
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l\-
J
Jer
df,
hnccltG l- Lqt^l ol cnnseq,v0.fi'qn oI lt'meatr montutttrw :-
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o
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o
,..,.......Ip1.........
bW, rrrplagf s
ffiu'
,E"l
ou'
. frlr-
[;il;
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mOm enlUrrn
A-N l*pil;e
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a
\:l
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.
P tona
lesrn
"gprtren
te gn#al rno.a enfrirrt.
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i-
{,',tv;-t;;)
;,
ff1..
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p'lane
rnOtoorf
N org: -
,
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Lm,y# f n"zti
d.hl
-UPage 92
I
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=-,'T
t
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/
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o
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l0 Sec. +
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=
tr Cv-z)
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r
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a: rn(dt).+
6
t t&)
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I
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U
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6
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Tg =- 1 c.q
=
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rr-
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movitry w t*, vd. o I to rnls
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uJo
* .
of w
V
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rs
-
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,,^.
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ac=
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UJs
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o^/
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V
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TPage 98
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