
TJIABA TPETbfl
.
CONPOTHBJIEHHE
MATEPHAJIOB
157
3-5. ONOPHbIE PEAKUHH
H
H3I'HEAIOIIIHE
MOMEHTbI HEPA3PE3HbIX
EAJIOK
Hepaspeauas
6a.nxa
qBrqercff
cucreMofi
ctarnqe(cKl.I He-
onpege.nnuofi, npHqeM, ecJrn Kpafiune
onoprt
6a.nrn
Aony-
cKanr cso6oAHoe BpaueHHe onopHoro
ceqeHnq,
To
qHcJIo
JIHTtrHHx
Hen3Becrnux
6aaxn
paBno
(n-l),
nAe
n-qucJro
@ue.
3-55
{IpoJreroB. 3aAe.rrxa
rpafiHefi
onopbl
yBeJIHqI{Baer
qI{cJIo
JTHTUHHX HeH3BeCTHbrX rra
eAHHIT[y.
B KarlecrBe
JIHrrrHHx Her{3BecrHblx
B
Hepa3p$Hux
6al-
xax
o6H,ruo en6npalorcfl
oflopHbl,e
MoMeHTbI.
.{.rrn
pacuera
6a.rlry o6pauaror
B crargqecKu
orIpeAeJIH-
Myto [ocrauonro'fi
urapH'HpoB
Ha
ollopax,
[pHHrIMafl
Bce
otlotpbl,
KpoMe
o4H,o,fi,
rI,qABH)KHbIIMLI
BAOJIb
OCH
6alwa
(Sur.
3-55).
'-tlto6rr
taxas
6arxa
pa6otatta KaK
3a.[aHgas,
ueo6xo-
rlrMo
[pr.IJIox{HTb
MoMeHTbr
Mo,
Mr...
t{nc.na
HaA
onopaMn
Aaror
ilopqAKoBuft
uouep
onopbl'
r{oMep
nponera
paBeH
HoMepy
npanofi
onopbl
npoJlera-
Onopnue
MoMeHTbI cql{Tanrcg
IIoJIo}KI'ITefibHbIMH,
ecJII'I
oHH
CTpeMfiTCq
BblrHyrb
npHMbIKaIOUlHe
npoJlerbl
BbInyK-
.IIOCTbIO
BHH3.
l.
HepaspmHafl
6a.nxa
Ha
x(ecrKl{x
oropax
KaxAue
rpu
nocJIeAoBareJIbHo
B3ffTbIx
onopHblx
MoMeII-
ta
Mn-t,
Mn,
Mn+l
Hepa3pegnoft
6a.rrKu
cBsBaHbI
ypaB'
HeHI,IeMTpeXMoMeHToB'IIonyqeIIHbIMHSycnoBH'IoTcyTcT-
BUfl
B3aI{MHOTO
nOBOpOTa
B
IIrapHHpe,
conpsrarcnleM ABa
COCeAHH1
npoJreTa.
B
c.nyUae,
KOrAa
)I(eCTKocTb
EJ
flocTg-
tHHa
no ncefi
A.ul'tlte
6a.nxu,
9To
ypaBHeHHe HMeer
BHA:
Mn-r
l,
*2M,
(1,
*
ln+)
+
Mr*r
ln+t:
Qrr+t
bn*l
I
n+l
,
(3-33)
-'rAe
Mn-t,
Mn
il Mr+t-oropHbre
MoMeHrsr
(Qnr' 3-56);
ln H
lr*1-
AIHHbI
conpnralonlfixcq
npone-
TOB;
cDue.
3-56
Que.
3-57
Qrd,
8a4t bn+t
--
H
-
--Quxutnuue
onopHble
peaKqHH
ln
ln+t
n-fr onoPbl
oT
MoMeHTHbIx
nJIo-
uta,4efi
gn
H
9z+l
B
n-M
H
(n*l)-u
npo.nerax,
nonyqeHHblx
ot snemHefi
HaTPY3KH
KaK
AJIn
#f#"tffi,
::?"ui:"
oileprblx
Llnc.no
ypanuenufi
rpex
MoMeHroB
(3-33)
Anfl
Hepa3-
pe3Hofi
6aiwn
paBHo
qHcJIy
IlpoMelKyrot{Hblx
onop. Ec.nu
xpaftntn
ofiopa
6a.uxu
gaAeJIaHa,
To
ypaBHeHHe
rpex
Mo-
MeIITOB COCTaBnfeTCfl
npH
noMolqu
BBeAeHHff
AOfiOJIHH-
Tenbuoro
xpafiHero
nponera
serucuHofi,
panuofi
HyJIIo.
NPI4MEPbI
COCTAB
JLEHT4fl
YPABHEHIy],g'
TPEX
MOMEHTOB
1.
9erupexnpo.tlerHal
6ailwa,
uIapHHpHo
onepraq
IIo
KoHraM
($ur.
3-57).
Cncrertaa
ypannenufi Tpex
MoMeHroB
Enff
Hee
6yAer
HMCTb
B}I.4,:
at?
t)
2M1
(5+ 4)+
Mr.4'0._-
6t'l
24'
2)
M.,..4+2M2(4+6) *Mt'6:-6
+t
3)
M,.6+2M3(6+5)
--
6
+,
floAcrlsnqq
BeJrHqr{Hbr
Harpy3or(,
oKoHqaTenbHo
nony-
qHM:
1)
18 Mr
*
4M2
:
-
31,25;
2\ 4Mr+20M2*
6Mt:
-
54;
3)
6M2+22M3:
-
54.
Peueuue
cr{cTeMbr
ypaBHeHHfi
Aaer
BeJIHqHHbI
OnopHblx
MoMeHroB
Mu
Mz'u
Mz.
2)
Ta
xe'6a.nra,
Ho
c
.nenofi
xpafineft
onopoft
3aAe-
rassofi.
BsoALIrcs
B
pacqer
$urrnnuufi
npo"'rer
lo:0,
qro
Aaer
AOnOnHHTeJIbHOe
ypaBHeHne:
2Mop
+
5)
+
M1'5:
-G
qrl
24
Octanruue
rpt{
ypaBHeHHfi
ocralorcq
6es
g=tn/n
r.rsNIeHeHHft.
EJ
=
C0lt
l'
i0
I
]*L,=
s.o
4t 4t
i
?z
tt
iL
.--3,0
-1"
-
,u-
h=
4,0
4.--
tr.=
6,0
--{--
t+= 5,0