Drgania odpowiedzi.PDF

(447 KB) Pobierz
t'iet'\^lcJo-
l.
|
r\,cr1L
ho-cm.xicZneOo
Pocl'o}JoHe
PoJ-o,ffie.trY
\']
/
rcr{.1cni
ru(hu:
/ I,)
x ( t) -- J CJs (.-' . 9.)
o-
J
ll
I
a
r-
1
-
_
LJ
J
tPo
. 2i,f
cJ- 'l'
!'l4l
Tl's)
T
,^- ^-L
- r
r
I
<?f
Y- ",
lctoL-{J
_t
] J ?J
o
pct
.} 9u1
1iotnQ
lee
eO1:isoc,.
x(t)= lc.>.c-Jt
+ Bsin*t
_F
o--F;E
tg.=
A=acasyo 3=.csir.rP"
y',.*"qovricfmJ
2.,.h
o-
x ( +T) --
* () dr,a ctdego
P,o*.1
'ro-cuv.,ek
J'ri
t.
cucherv'
t 1')r..".
su'.o-
o.3o.
hox.ru"o.czv.r9ivr o
*J*
J.*
99..v". ert,^J.,'^ i
1e.i.oo-
nei czs':c,2
)
::.:
.Jno rude,-lr hc-cu.l.'onic.5*
o
} <-i :so'^,v"ej cc
|.1P"*-l.o"'
ruoh
ee:toci.
q
si.c-cLo.'.l
nP.
x It)= r)nsin(.'t *9,) t C-2 S,rr(wt t J
X (t): Q. Si.coccs9n J or cc>c.',tsirr. + O,sirrultccsfz + t)2cxr:c^rt
3iv1\P? _
= (an .c59n * o, cJsf )sivr c.:t * (o''l3l!\\P,'
+ 01 Sivr9.) "-=.'L
= A si r.r(c- +y) - ..,ti^
no"*.luri.5
cz yl
oqJLn'e
'
4=| )-(o;si.fi)
* ,, (oi.csi).
t:'t
il
i"t
,-.rlo->ui^..i
rn\2 su!.v1<L <j.v.go-.| !tovrry19,1.1,17u
}
l"tl"
id.
czsto.,
cun.,c,.vo.t&
d*sa.".
rr,ew..,e
ai *".*:;;..::.j.]..:.-.:;ievr.evrn
nj'l-o.d
(.1.:^.,J
no{o.5to.r^id. i *cle^..
o.u*-'.l
n(t)=, si"r(..t '*;
\
r'r
x.(t). 2 sinfs.a.,)l
_/
*cc)t|
: tt):
z (r)
,O-
nA,
or s'
;
)= "i^ nrotP . c,osl-e,.p)
...(".*p
(r ) --
,6"\
+ 1srn a<-^'t
= A tt) si.(c-: (L))
) cos cst
|.'......:
l,.
(t)=
a\
An * Az
.,'"'
A r".;..IAn
- .l
.^"- l)
A,,si^.P * Azsl'rr <-t
T;
-
,A(t)
l,n,'
.ctt----L
ol
o-
ft,1 c,cSY
* lc^l:c'sI
rqs.dLo
An'A'
/( t )
,
)1,
^
Z v.rorr'
o.l.t,tp[^ t*.l"a
:
f
il*o'. -A
0*i'.- O
L)
"d'll
to - f,c-y
-
I
I
j
846150220.002.png
o :cit'to.,o-& .,- spJf mier.r".;".ffi
I
sLru
cl.go-,4
h.:.rrvrorriczr.l&
ttlr,
..l H.razoL
, ze
-
-t
@9o1
t
l"''
,,
d.".
niem
o.r?souyy
hn
CJ.
(J
(-Jz
Le
- Liczb1
7
l^l
*,.
noJuro-Lwrg
*)
cJ,
cJr
12. p
9.rI
-
c-J:
- T
r
r'^'
9-
ii
.2t t
o
r-tsp.J\u.'o
wi elo|.rotn
cc oLres-
11M
-
I,v_\
- l"m
1- n
(
.
Noru.
.1uwiq1c
oLre::x.r,
ol
x (t
-T)-
tre:t
.--
ores
rtJL-Je| s.o.i
;
> rll
'
l:
.
\./
n|v1
o'/_q)n'rg91
-
>. C^: to
sq {,qu,, r-1 Lisso-io*rs?
'\'l
u.
{:c n.{^e
)g
o^eo:tc-*,.>..e
*or
.L1d,\
or<qc
ze
rioter^,
crq.rw
^;to
unL-tu,
Jl
v.cwje\r
ier*tn.Lr:..-!^
"u^ (qdJ
tn
s9
rud^
i cJ.
1:
.o*i,..,o-d[1
'lSPjIm..e-cn
!1 P,.'dJ'.1
/v(w\ ^^ .j)\o,e.ru^'
\e"t
, ra or ut3w tor,r.^Lvri1tg).
tl
J
J
J*
nP.
(.-\
--\
,-\
s
\-)
)
| .-)
(r.jne v'o*\or. <j1virc1 qto.
a {)
--/ ) )
.L
,)|,'
X
{.:ro-*.i^.)
)l
Y
x
b. Ne
c.Ll!1
o..rcLir-c'
ho'"t,.,'ou..czno'
<l'"go.u.?
P'JL?qJ.
D.2.:.".i.:
otre>olc
w1\)'.,'a r.2zLc>t*, no
s.^.{
sr.r;ao..5cr^
.;t'.o.ul hQ-cm.
' AncLit*
.'J'vtMJi(.-!1o pcLc'ga'
r\.- <oi-ivriqgi*
x() c
3ure\i e T
r' S'.e3
f'nr.c1;
::::*
,,t ^CJsrrg3l * b^sr^^...:!
- 5^.
^ttl= ;
cr:
+
)
i
4
-
a.'
T
\ -, z i
,
)
)..-' i l "(t) CJ)nodt, b.= + J"()sinn.tcLt
)nltcLr..,,1t
", r!
'
'
x(t):
l {o^cc5t.'c.:t + b,,.,sin",*t)
- (oan.'.e;e
wgtn1cJn h3v.mon',cz'r1.L o r,..or1"r'- oqr1;L.|g-
n- 4
d.od^)
* eo U. j.*
r.ri<!t.r-J ctrg.rv^,?
Lo
sd,to-rotr.tfYl.otJo.4,|Q
\"'c'wn.cr.n.clw1cl.^
-1tr.r-c,ou5tl.
d.qc*i
o]<re:'cul.1c\
stos\e
Sil
i.1u.,,.o
!'l1cloce
zbi,l
|r,'n\-c1. ,
e.-..
vq.o'r,'toi,.lrcie
L,iczb
, o
k.'Lt1ur.1'r
iJoJ
cz.".,ci
o/o-1
,
,,-3.
-
o'd,vol'lu
octpoQic-t39c1't^
iru
o.uPL.t*d
.o
='0^.
|o',t
Pc.J':
bj
,
lo..'+
-.{
iJ.r"v.c
i
5i
9^e.l,'o--io
{*'nlcj
9rc'|'.-z^le
Z- PoV\c.
Spotot{c't^^'..
i.
|--.uci
(J.
(Js
t
846150220.003.png
'.,),::..,,.'.'.'
(*""olt'vo.c-1ci
tL
w rr.r<.t,ru^,'cr"qo{t:t*.
dutei
Uczbie-
pn.1po-<{tdu
rionaxie
vutl
d"lqo.]gt4c
'v
urote
bYJ
paed.*ox,u
t. pcraci
(t",.i-
r,\
rni
t?L)'rS(")=
[()
\ f \t'/--Lrt/
|
w nvtegJtt.ryu^
PYPo'd.|aorJN
wri.tcit!;<--fCr
)
- sito
r.o-Lstvrq-
ocL pvrowr,i e,^.rc,rewlq_ SCx)
YIo,1UH.'^
.ed3t*ji*i,
\^^\. f !J-w|-iY.|
I J"'ie'.
.
cvo'
(oc^c1 o '
,&o1o:
q.o*it.,.;
qrawiEoc;iwo
i
sP.(1vto-.
.-f
s'L.r nof.tlo
c? jnY
n wo]rroJ"L
-:;}.:i*:n
*
pr1ctt'ot,l(,. &go,t^;od- r,u*'L.<rictvt3d x
vs ogf .i-u,''".: gex-).
p.1drc
i e J.j..tgcznP
.
J jl.::,:;::"
*::'ri,.{^;j::.L*offi::":
|\o1hSuel
si1 r- ba..A.rr'.otJ^
/uie
d.<3o--(" siI
9Pct.^ rLc-[or.p urnigx'9.4
t.r.rc;o.,.,. u"i*o+yczlJw.
{o*r.a.!.oc za'uP
e (* ) :- c x
.".5
lv1vnu'no'ifce _tolez^q
ttLc
os! c',uorr.r a
n(e.tt7trnp o{ prreu-. ?N1t,,,iu
i pl1rloJcl
r,.,n.ienie
d-cgo.ti l i.qo Pccloonre',u.e i .o,},o"i
J.
.1:-
fuwr.g^;"
d*8.,1 . ..clot,'c'j.. s:i3 c.-
:::'-":TT1;.:.;3;:'
oor cv1ccjui
- .:ll.r-
.To{Ll
to,otvto
UvriJu.lc
al
pra.L'coi - to.,,t-;
wrsPotqr-zvre
2(^)' c ri
P".J cu.r.-w u.lj' !
lr.,'p...J-
\<.pL.vn
PLy.rie
tad..Ju-)r^.w
l
tur;-rri cl^
Pa
g,repi.y.''l
Lu-ur'..e-vu.gq <>
' P'.]
Pvc{l.:ui.cr^
.
-
P.o'J
.-lorunl.,t.-^.SiP
df,Ic
.1^5-;1?.e1c
(loLJ1,^.j
..
PJ
L'l.^b ?P3 s\ua
,.
.,{J-,,-q rJuurr],!o',,i.,-r-i..ii
-1" ";:""i:j:.-fl:|,:,:u,
-}r'uu'k'^:cU.
,""1J t--.^,/CieLL(
.u.i/J|t.. ,.t"r!."lzi .t'11.'..qig
:',P
1.*
D -,
2(x;. Ts9^i
l
v7,rf li,
+a-cie tr'r<b",.-tq,^t"re
-qctg*
uc-t d5r:jqa'c,^*.,..l"::
j
wiYl.1'j{
;-..'
Ptf.l--olio'&^
l.(u3vn'c^io.'e
oP,.J
*o"-f:,#;:
'!'-',, ,,
,l.?..v *ol.rrrJ!-t d'
,o.d|^uwJ
urlJ'ar-Ir".
e!-e^/.e{c" .P.?tJ'b.*
po<trr.or \ogc ocLvttoic.o..r-io ;;'.:'"'':;,*
.::*to
:l
tatLot/.
(oz?'
e,L' ta,ter-L. .Po...loc.ie-
o '""tn6in-"..u i-J*'..',",:
i., oP)vu
s,
:"? Tr",::,,,1
^-,.'":,:".:-.
x*J ;",.# :r.i;;:":':.Y,
t 7,:3t-:--
!v )/]o!
J ',.-ctlu.
ootuwLt
I
.
?n1 ir;"r1Ji vro1ulo
-
] ^....,] ,:::*:*"
w;>L,.l,z,n,
iz +,o,*oT*,|,";il'"i;
T".'j.l;" ,*,o,un
?(;\.cirdi5
larce.c'r*r*tc.ll
-
\g..eu ***)
'..
;iebie vriovud^e"!
Pcw,v\d./.V\.
r-c.r-
s9 vni1o,\,t1 .:cicp
(^P' n lro iedwok rv s'g\e .a.u^tc,,tc),"il#.-;:;:^:]::
pctncvte
|tr r te sp u"l.s(-Qot{t.
.*tc
'oc(ntcrtcet w1l1li c *.,9P
l'l'.]o i.}.3,
."'..*
Pc)L. 13i tst,^,!,Y\3ut-
..,l;..-3 i
I
.*!g.*.
1
846150220.004.png
.9L:'];;.1.1
(o. Pocr^.acle^-^.ie- sit
re>tYt.,t.Jiv'l.l".
t r*rl'tt
d.,r.q.a.qc3wr ; id
wT]ti..'Lcjci
- toJ'etv\o
Si11 .e>{1t'rcl
od. pwotr,.e,^reu\io.
ine
?odzole;
- qro*'i
( ^ a-Lr.;'Tc
toc1
|iu.1.z^e , wrc.te.r,.o}9czvre)
\^o-
- sp{tY+o
Gp sir-o ncic,o.
sx31",r1 )
t,a'[e,tvuc.].J u-lo1
s|rf
o- pv,ttravrr,,l \L,,^).^
T..
v&oe
bY,'
Li,riou,o
Vt,.l
|izL.v1,;lg1
-|:"]:*..
d'|o .-i]-. Y*Y}-1*.1o.
^f}Yf*t.
oJ..zt\qg-.;:'\^ol
qll>u1e
(u.--
\Qr:;t
o(oz
e ,s.
uroJ'y.,t^
'-Jr1.l^
P/!:)
o<{t,r!.-'j.^,.uu.'
t$= x
- ni).,^i ct,-la
rr3wit.o.
naj.,+,
. -;;i:,,:;::",,.i""#,,..,',tr
*::'f;!,:::^, Y-" g:^*,,':,^ i,.z5i"r-^o-
>t.
d,.^z'"1t'l^
e!e',c<.a.1^,
b?,il
-1.:,,;:,.
"l""t^,,x,-,*,i,r,*/,,]^X"}:,;"}
{l. J.Lofi<rci,.
.c.go,ti ze .z3Lfd,,.- no
a,c*a,rwo'a.o
cscb'
a,,a^.si..
l) sr..ro!o.il''
, .aoL3 r^t<ic-z,- nie
g:.cd.z,r1 .f,u.r...:*.-.
ie:t
.' iJ
3*.,-^no19ce!
ln
-r-ff->t
]) tr1'"rr-no.
_ cig8,r'e d.opro..lo.t1,..:--ccie ^l'oJsi .
si[ d.{nr..(r
lJ
t)cF\et
_.'.lci\.
X
), }.l.tu'oNzU*(a!!o
l
- nP,r
( v'.:.,.
.,l\ir.
(1 u . ."..$.;..:ij:..*i..:.;:*'";*,'.'*t4i#-'o
0tt
r',tc,
'l
',,
'L'.,i
!
;..-Lrt ur:..o-.,t)
L
M.:-t)]-;
.. \ J'!
-rLiu.J
'.c^. i,
. vlrJ ,-.i
' -L
'-<. ll- :':
.
.'"'.\'L
.-,t;' ' '
'&
*..'11-*|i..
\
(
846150220.005.png
t5.Nto-\uuroci
.sr-lobc'd^Ycl^
drqo-
r-'!cd'^
Unio..lego
.'
s|opvri.r
iedvr5wr
ol.obocl.-t
b z *f tlrn. e,^,ti o
i
z
*Lwrwvri el'ri <.rnn.
bez ttuw^,evrio:
rY-\X-t x
=o
\. n.
r--
- .zro\{
drqc
, vrizroJcevrrr o .lclvr-tnw potzoto'*Lr'
f * x=o
:
'(-to
....r..---J
",".l
l
io-rroLtur.Iq
)
l.3J
Inl I
. ru\,.1.-l^'oJ
l: l
v
ltr
I
r.j-^cLaolp
t- - :
t L..
t,1
rcz uigrc-r,rie
* f" )
x ct )= A c<>s
t
(.-t
L ,
'!/vo.]We
v
Y^
Y2
{oqnyi
, vo = i(o)
k Y"'T" o
XJ:x(o)
'cntcle:
' z
-'Lur.',r
r e.vlr wi
rnx . c + kx: q)
l..
gi+
Xt
y=g
Yn
n\
i"fhitc-.otx=J
cz :t..:.. cr,<go-l- tci- .^ i .^ 1 "tn :
r--_;----._
c^:,.=J.Jo'-
ht'
!= ;
^ -\1 t
(E)= H e
sin(3,,1*t';
l^'. t[uwr$err.c
- di
t.-
-
u!rc(M.
1- co Lo 1et Lt>go,r3[nr.lc\.\J qekre.,up-^^L
r"lProL.J.J..d1a-gg qo
d"6o'r.t
-
i o"i
p3,vo-rtotrJuJ
'.i-o31
.1;J<;uu'
d.i.r oce-t3
tlu^wr,srr.,o
f,= * ]1' - Lr \x(")l
- hT -
7 (,,,. i,, 5.r., i.T )
f
Ix..rI
.
l"rr,,.)1l
[J
!.
Lcgo"
tJ
.uc}uro.Ln]
e"rt
:os*',L*
rrerulr$cLw3rj^
rv.:r .:\ci
I-ciy13
2,t..
t,\^ or^oLr \ud
.
/s. z
e[eu.-r,.td.-"
iacr,t
sra;Jo
roLJiYto^^-
oi <Iwo
rd'JvtOnie c
z .--iuvl..,vrievrrr
P!\J
Fl$r,^un-vr'iq ha,r'nc-l.czn3m
]'::g:il
l..^:w^?
.:::;
Qrotoqo i
rni: -kx -ci + FsitrVt
rn + ; +x = -l-siu"vt
rozxiott,1ie : x (L).XsJ
* X**
XS3 - ..2^io.alrle
cl,qo'.l s-rolaoovr1c|^
l..
C
''-.r
*.;*t:^v=ls,^vt
_ r.t
v
/\
| _-__:-_
\
^sJ- H
-
si^(Jc^:'.-tr.t
- v)
Xxx - rof l^ll,o]^ie d,vgo.n,' t.J1\Vu)\oy1Yd^
(cc{p;ried{_ u*oJ(.:,ro utioLv_)
X'*= Bsi^(vt p)
|
.
7
l-
..
1f
r
\
-
iv1 \/t
X
{
Oo.
t
i
ir
846150220.001.png
Zgłoś jeśli naruszono regulamin