Modul Mekanika Gerak Kendaraan OTO226-03
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Transcript of Modul Mekanika Gerak Kendaraan OTO226-03
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ludoMedoK
.KGM OTO 2 62 - 30
YNUkinkeTsatlukaFf itomotOkinkeTnakididnePnasur uJ
NAMEREGNEPKITSIRETKARAKITNEHREBKARAJNAD NAARADNEK
:nusuyneP
.T .M ,.d P .M ,i bu t r aM
f itomotOk ink eTnak ididnePnasuruJK INK ETSATLUK AF
ATR AK AYGOYIR EGENSATISR EVINU4002
Y
R a X
h a nisW R d h g/a.W
R f r B F b h d l1 R rr Al2
W f socW WL W r
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2
R ATNAGNEPATAK
nagnedludoM 622OTO.K GM nagned30 ludu j k itsiretk araK
nameregneP itnehreBk araJnad naudna piaga besnak anugidini malad
:utiay,isnete pmok utashalask utne bmemk utnuhailuk nataigek nadimahameM
mta pad ayagnak utnenemmaladnamer egne pak inak em pesnok nak anuggne
.naar adnek aynitnehr e bk ar a jnadnamer egne pisneisif e,namer egne p iniludoM
esk utnunak anugidta pad Mhailuk atr ese paum naar adneK k ar eGak inak e id
Ir etsemes V satisr evinUk ink eTsatluk aFf itomotOk ink eTidutSmar gor Pada p.atr ak aygoYir ege N
nak i jasidiniludomadaP pesnok - r asad pesnok r adnek namer egne pgnatnet a na ,
hotnoc - eyne patr ese blaoshotnoc aynnaiasel , nahital - nahital setnadsagut/
isaulaveatr esf itamr of aynulr e pes k utnu em isnete pmok ia pacn .nak par ahidgnay
satair idr etiniludoM agit .r a jale bnataigek r a jale bnataigeK 1 :gnatnetsaha bmem
igeK ,gna pmune pnaar adnek namer egne pk itsir etk ar aK r a jale bnata 2 saha bmem
namer egne pk itsir etk ar aK :gnatnet r ot car t - r el iar t ime s r a jale bnataigeK nad, 3
.namer egne pk ar a jnadisneisif E:gnatnetsaha bmemawsisahammak par ahid,hadumnagnediniludomir a jale pmemasi bk utnU
ik ilimemhalet nauhategne p sisilana pesnok amatur et,ihunememgnaylawa
.adne bnagna bmitesek ir oetagu jnadnemom pesnok ,k ar eggnatnetsitametam
.
,atr ak aygoY iluJ 4002
nusuyneP
.T.M,.dP.M,i butr aM
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namalaH
:2r a jaleBnataigeK .2 namer egnePk itsir etk ar aKr ot car T - r el iar t imeS ............................ ......... ....... . 22
r a jale bnataigek nau juT.a 2 ......................................... ......... ........... 22
ir etamnaiar U. b 2 .................................. ........ ......... 22...........................
namuk gnaR .c 2 ...................................................... ......... .................. 27
saguT.d 2 ............................................... ......... ................................... 28
.e f itamr of seT 2 .............................................. ........ .......................... . 29
f itamr of set bawa jicnuK .f 2 ............................................. ......... ....... 29
:3r a jaleBnataigeK .3 eisif E sn i namer egnePnar adneK itnehr eBk ar aJnad .......... ........... ........ 29
............3r a jale bnataigek nau juT.a .......... ........................................ 29
......3ir etamnaiar U. b ................................. ........ ............................... 03
.................................................3namuk gnaR .c ......... ....................... 43
..........................................................3saguT.d ......... .. 3...................... 6
.................................................3f itamr of seT.e ........ 3........................ 6
....................................2f itamr of set bawa jicnuK .f ...... ................ 36
ISAULAVE.III ..... ...................................................................... ...... .......... 37
.........................................................................naaynatr eP.A ........... ....... 37
.........................na bawaJicnuK .B ......................................... ......... ......... 38
...................................nasululeK air etir K .C ........ ................ . .................... 39
PUTUNEP.VI .......................................................... ...... ....... .. ...................... 04
AK ATSUPR ATFAD ................................................... ....... ........................ 14
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/NAHALITSIR EP Y R A S S O LG
nel avi uk eassamr ot k aF k utnunak hutu bidgnaynar ase bhau beshau beshalada:
em .k ar egr e bgnadesgnayassamutaus padahr etnagna bmiesek tau bm
si mani d or e Anat abma H na pednaiga bada pa jr ek e bgnaynignanata bmahhalada:
.)naar adnek (li bom
r abwar d nat abma H gnak ale bnaiga bada pa jr ek e bgnaynignanata bmahhalada:.)naar adnek (li bom
H t ni o phct i ar atnanagnu bmasta pmetk itithalada: r ot car t nagned r el iar t ime s .
i sehd anei si f eo K nata bmahaynadanak k u jnunemgnaynar ase bhau beshalada:
.nala jnaak umr e pnagnedli bomna br atatnair anemk ir atayagta bik a
e pol S la jnagnir imek tudushalada: .tualr ianaak umr e pnak gnidna bidna
esabl eehW gnak ale bador u bmusnagnedna pedador u bmusar atnak ar a jhalada:
.sur ulisiso pada pli bomhau bes
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BAB I
NAULUHADNEP
ispirk seD.A
ludu jr e bgnayludoM ar ad ne K namer e g ne P k i t si r et k ar a K na ini
naanacner e pmetsisnagnedtiak r etgnayr asad pesnok a par e be bsaha bmem
maladir a jale pidgnayir etamna puk acnu padA.naar adnek k ar eggne paganet
nad,gna pmune pnaar adnek namer egne pk itsir etk ar aK )1(:itu pileminiludom
namer egne pk itsir etk ar aK )2( r ot car t - r el iar t ime s isneisif E)3(nad,
.naar adnek aynitnehr e bk ar a jnadnamer egne p
satair idr etiniludoM saha bmem1r a jale bnataigeK .r a jale bnataigek agit
2r a jale bnataigeK ,gna pmune pnaar adnek namer egne pk itsir etk ar aK :gnatnet
saha bmem namer egne pk itsir etk ar aK :gnatnet r ot car t - r el iar t ime s nad,
.namer egne pk ar a jnadisneisif E:gnatnetsaha bmem3r a jale bnataigeK adaP
nadlaoshotnocnagnedi pak gnelidulalesr a jale bnataigek paites
nahitalatr ese baynnasaha bme p - amr of set,sagut/nahital isaulavenadf it
gnayisnete pmok ia pacnemmaladawsisahamutna bmemk utnuaynulr e pes
.nak par ahid
awsisahamnahur ulesek ar acesiniludomir a jale pmemiaseleshaleteS
nak par ahid ak inak em pesnok nak anuggnemta padnadimahameM
maladnamer egne p nadnamer egne pisneisif e,namer egne payagnak utnenem
.naar adnek aynitnehr e bk ar a j
taraysarP.B
nak ididnePnasur uJawsisahamiga blawaludomnak a pur eminiludoM
ir etamisir e bgnay,3Dnu puam1Sgna jneJf itomotOk ink eT - gna jnune pir etam
/ hailuk atamir adnaayagne p - gnayf itomotognadi bidnailhaek hailuk atam
hailuk atamhaladaamatur etaynmule besir a jale pidhadusaynsur ahes
iladnegnePmetsiS .
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ir etamnaik imednagneD - nak ainiludomisinagnedtiak r etgnayir etam
nak a pur em ia pacnemak gnar maladgnitne ptagnasgnaygnuk udne p
k aditaynsutatsnu pik sem,iniludommaladnak par ahidgnayisnete pmok .ayntar aysar piaga besimser ar aces
ludoMnaanuggnePk u jnuteP.C
awsisahaMigabk u jnuteP.1
yr a jale blisahhelor e pidr agA nak anuggnemmaladak am,lamisk amgna
nak anask alidnad,nak itahr e pidulr e pgnayr udesor pa par e be badainiludom
:nialar atna
pesnok naiar uamask esnagnedimahaf nadhalacaB.a - gnaysitir oet pesnok
na par ene palu pimahaf naidumek ,iniludomada pnak i jasid pesnok -
hotnocmaladtu besr et pesnok - .aynnaiaseleyne par acatr ese blaoshotnoc
asi bmule bnadsale jgnar uk gnayir etamadahisamask a pr etaliB
nesodada pek nak aynanemta padawsisahamar a pk ia bnagnedimahaf id
.nahailuk r e pnataigek u pmagnemgnay
r ek a boC. b inilah,ir idnamar aces)nahitallaos(sagut paitesnak a j
haletgnaynamahame pr ase ba par e besiuhategnemk utnunak dusk amid
ir etam padahr etawsisaham paitesik ilimid - ada psaha bidgnayir etam
.r a jale bnataigek paites
bawsisahamaynnaataynek maladali ba pA.c ada pir etamiasaugnemmule
igalnak a jr egnemnadaca bmemigalignalua boc,nak par ahidgnaylevel
nahital - gnaynesodada pek halaynatr e bulr e pualak nadaynnahital
gnayir etamualaK .natuk gnasr e bgnaynahailuk r e pnataigek u pmagnem
ame pnak ulr ememnatuk gnasr e b nak nik ayak am)tar aysar p(lawanamah
r ane bdusk amidgnaytar aysar pawha b - .ihune pidhadusr ane b
nesoDigabk u jnuteP.2
:k utnunar e pnadsagutiaynu pmemnesod,nahailuk r e p paitesmalaD
a. .r a jale bsesor pnak anacner emmaladawsisahamutna bmeM
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b. sagutiulalemawsisahamgni bmi bmeM - nahitaluatasagut - gnaynahital
.r a jale b bahatmaladnak sale jidc. bawa jnemnadur a b pesnok imahamemmaladawsisahamutna bmeM
.nak ulr e pidali ba paawsisahamnaaynatr e p
d. ynialr a jale br e bmussesk agnemk utnuawsisahamutna bmeM gna
.nak ulr e pid
e. .nak ulr e pidak i jk o pmolek r a jale bnataigek r isinagr ogneM
f. .nak ulr e pidak i jgni pmadne pnesod/ilhagnar oesnak anacner eM
g. gnayawsisahamisnete pmok naia pacne p padahr etisaulavenak adagneM
.nak utnetidhalet
rihk Anau juT.D
haleteS iniludommaladr a jale bnataigek ir etamhur ulesir a jale pmem
:nak par ahidawsisaham
.1 gna pmune pnaar adnek namer egne pnar utanadtaf is, pesnok nak anuggneM
.halasamnahaceme pmalad
namer egne pnar utanadtaf is, pesnok nak anuggneM.2 r ot car t - r el iar t ime s
malad halasamnahaceme p
namer egne pk ar a jnadisneisif f eir adnar utanadtaf is, pesnok nak anuggneM.3
.halasamnahaceme pmalad
isnetepmoK .E
622OTO.K GMludoM - k utne bmemak gnar maladnususidini30
isnete pmok snok nak anuggnemta padnadimahameM ak inak em pe
nadnamer egne pisneisif e,namer egne payagnak utnenemmaladnamer egne p
naar adnek aynitnehr e bk ar a j hi belr et,tu besr etisnete pmok ia pacnemk utnU.
busia pacidta padsur ahuluhad - ayna jr ek k u jnuair etir k atr ese bisnete pmok bus
ale b puk gniliulalem :tuk ir e biaga besnar a jale bme pk ok o pir etamnagnedr a j
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buSisnetepmoK
airetirKa jreK k u jnU
puk gniLra jaleB
nara jalebmePk ok oPiretaM
pak iS nauhategneP nalipmarteK
imahameM ta padnadanuggnem -
pesnok nak ak inak em
mer egne p - na malad
nak utnenem payag egne -
,namer isneisif e
namer egne p k ar a jnad
aynitnehr e b.naar adnek
asr e p pesnoK .1 -egne pnaam -adnek namer -
mune pnaar - imahaf idgna p
r ane bnagned .ir oetiauseslamr onna beB.2
sor o pada p naar adnek
gna pmune pegne pamales -
gnutihidnamer r ane bnagned
uses .ir oetiaegne payaG.3 -
k amnamer -adnek mumis -
mune pnaar - gnutihidgna p r ane bnagned
.ir oetiauses .namer egne p
latotisr o por P.4egne payag -
ada pnamer sor o p paites
naar adnek gna pmune p
nagnedgnutihid iausesr ane b
.ir oetak em pesnoK .6 -
egne pak in -mer na r ot car t -
r el iar t ime s nagnedimahaf id
iausesr ane b.ir oet
lamr onna beB.7 paitesada p
sor o p r ot car t -r el iar t ime s
egne pamales gnutihidnamer
r ane bnagnedir oetiauses
ayaG.8 namer egne p
mumisk amr ot car t - ime s r el iar t gnutihid
r ane bnagnedtiauses .ir oe
pesnoK .1 naamasr e p
namer egne p naar adnek
.gna pmune p
lamr onna beB.2 sor o pada p
naar adnek gna pmune p
amales .namer egne p
e payaG.3 -
namer egn mumisk am naar adnek
.gna pmune p
latotisr o por P.4 ayag
namer egne p paitesada p
sor o p naar adnek
mune p .gna p
pesnoK .6 ak inak em
namer egne p
r ot car t -r el iar t ime s .
lamr onna beB.7 paitesada p
sor o p r ot car t -r el iar t ime s
amales namer egne p
ayaG.8 namer egne p
mumisk amr ot car t -
r el iar t ime s
,sitir K naditilet
tamr ec malad
silunem gna bmal
alemnad -uk r e pnak -
.nagnutih
pesnoK .1 naamasr e p
namer egne p naar adnek
.gna pmune p
lamr onna beB.2 sor o pada p
naar adnek gna pmune p
e pamales - .namer egn
e payaG.3 -
namer egn mumisk am naar adnek
.gna pmune p
latotisr o por P.4 ayag
mer egne p - na paitesada p
sor o p naar adnek
.gna pmune p
pesnoK .6 ak inak em
mer egne p - na
r ot car t -r el iar t ime s .
na beB.7 ada plamr on sor o p paites
r ot car t - ime sr el iar t
e pamales -namer egn
e payaG.8 - namer egn
mumisk amr ot car t -
r el iar t ime s
gnutihgneM nagned
nadr udesor p gnaylisah
r ane b
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01
naupmameK k eC.F
cadnatnagnedhalisi,ini622OTO.K GMludoMir a jale pmemmule beS k e ( paitesheloik ilimidhaletgnayisnete pmok nak k u jnunemgnaynaaynatr e p)
:nak bawa jgnuggnatr e pidta padnadr u ju jnagnedawsisaham
buSisnetepmoK naaynatreP
nabawaJ aYnabawaJaliBnak a jreK aY k adiT
imahameM ta padnadanuggnem - pesnok nak
ak inak em mer egne p - na malad
nak utnenemegne payag -
,namer isneisif e
namer egne p k ar a jnad
aynitnehr e b.naar adnek
1. k imahamemayaS pesno naamasr e p.gna pmune pnaar adnek namer egne p
1f itamr oFseT
.2 gnutihgnemta padayaS ada plamr onna be br o p naar adnek namer egne pamalesso
gna pmune p1f itamr oFseT
.3 gnutihgnemta padayaS namer egne payag gna pmune pnaar adnek mumisk am 1f itamr oFseT
.4 gnutihgnemta padayaS ayaglatotisr o por p naar adnek sor o p paitesada pnamer egne p
ne p gna pmu1f itamr oFseT
.5 nak utnenemta padayaS anamadoruluditnehr e bgnay
1f itamr oFseT
6. k imahamemayaS pesno ak inak emada pnamer egne p r ot car t - r el iar t ime s .
2f itamr oFseT
.7 gnutihgnemta padayaS na be b lamr onsor o p paitesada p r ot car t - r el iar t ime s
.namer egne pamales2f itamr oFseT
.8 gnutihgnemta padayaS egne payag -mumisk amnamer r ot car t - .r el iar t ime s
2f itamr oFseT
.9 pesnok imahamemayaS isneisif e.namer egne p
3f itamr oFseT
.01 gnutihgnemta padayaS latotk ar a j.naar adnek aynitnehr e b
3f itamr oFseT
bawa jnemawsisahamali ba pA k adiT iniludomir a jale pak am
bawa jidgnayir etamiauseS k adiT .tu besr e
buSisnetepmoK
airetirKa jreK k u jnU
puk gniLra jaleB
nara jalebmePk ok oPiretaM
pak iS nauhategneP nalipmarteK
imahameM ta padnadanuggnem - nak
pesnok ak inak em
namer egne p nenemmalad
ayagnak ut ,namer egne p
k ar a jnad aynitnehr e b
naar adnek .
noK .9 isneisif e pes namer egne p
imahaf idta pad r ane bnagned
.ir oetiauseslatotk ar aJ.01
aynitnehr e b ta padnaar adnek nagnedgnutihid
iausesr ane b.ir oet
pesnoK .9 isneisif e
namer egne p
latotk ar aJ.01namer egne p
itilet,sitir K tamr ecnad
maladnem silu
gna bmalalemnad -r e pnak uk -.nagnutih
pesnoK .9 isneisif emer egne p - na
latotk ar aJ.01mer egne p - na
gnutihgneM nagned
nadr udesor p gnaylisah
r ane b
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BAB II
NAR AJALEBMEP
awsisahaMra jaleBanacneR .A
nadinihawa bidle batisignemnagnedr a jale bnataigek anacner haltauB
.iaselesr a jale bnataigek haletesnesodada pek itk u bhalatnim
nataigeK sineJ laggnaT utk aW tapmeT ra jaleBnasalA
nahaburePf araPnesoD
ak inak em pesnoK .1 naar adnek namer egne p
gna pmune pada plamr onna beB.2
naar adnek sor o p amalesgna pmune p
namer egne p namer egne payaG.3
naar adnek mumisk am.gna pmune p
egne payagisr o por P.4 - naar adnek ada pnamer
nadgna pmune p ador uluditnehr e bgnay
ak inak em pesnoK .5 namer egne p r ot car t -
r el iar t ime s ada plamr onna beB.6
sor o p r ot car t - r el iar t ime s namer egne pamales
ayagnak utneneM.7 mumisk amnamer egne p
ada p r ot car t - r el iar t ime s
e pisneisif E.8 namer egn
namer egne pk ar aJ.9
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.ra jaleBnataigeK .B
:1ra jaleBnataigeK .1 nameregnePk itsiretk araK gnapmunePnaaradneK
:1ra jaleBnataigeK nau juT.a
)1 . lamr onna be bnak utneneM ada p sor o p naar adnek gna pmune p
ales am sesor p namer egne p .
)2 . nak utneneM mumisk amnamer egne payag naar adnek .gna pmune p
)3 . nak utneneM namer egne payagisr o por p latot gna pmune pnaar adnek .
:1iretaMnaiarU.b
.)1 nauluhadneP
ignar uk id,nak iladnek idta padnaar adnek u jalr aganima jnemk utnU
,taas paitesada pilak esamasnak itnehr e bidnak ha buataaynnata pecek
ta padgnaymer metsisgnasa pidulr e pnaar adnek paitesada pak am
k ak amhalutik utnU.aynitsemanamiaga besa jr ek e b nau pmame
gnaynai jak utashalasnak a pur emsur ahnaar adnek namer egne p
maladnatamalesek nadnanamaek ia pacidnigniak i jgnitne p puk uc
hi beL.ar adnek r e b - nala jidsatnilulalnatada pek tahilemali bhi bel
r ihk autk awada payar - atok idamatur et,inir ihk a - tok ada pigala paa
nala j - r ihk ahalutianer ak helO.satnilulalu pmalr atik esidnala j - r ihk a
aynadaf itomotoir tsudnik ayna bhelonak lanek idhaletagu jini
sagmer ,k ilor dihmer aynlasim,mer metsise pitnadmacamiaga br e b
sine jnadgnau b - .nialgnaysine j
utimer metsisanamiaga bsaha bidnak ak aditini ba badaP
,aynsaha bmemgnayir idnesr ethailuk atamadahadusaner ak ,a jr ek e b
k utnuair etir k utashalaS.iladnegnePmetsiShailuk atamutiay
k itsir etk ar ak haladamer a jr ek nau pmamek isaulavegnem ,namer egne p
ayagaynadair adua jnitidamatur et - ada pa jr ek e bgnayr aulayag
.naar adnek
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ayaG - naar adnek ta bmahgnema jr ek e bgnayamatur aulayag
nak k u jnutid)gna pmune pnaar adnek (sor o paudnaar adnek sine jk utnu
nihawa bid1r a bmaGada p :i
)2 . ak inak eM P :nameregne
ayagak iteK namer egne p adar e b hawa bid sata b isehda ar atna
:haladanamer egne payagaynr ase bak amnala jnadna bM b .I na
F b = ------------------r
M b = nemom namer egne p
F b = (namer egne payag ecr o f g nik ar b )
=I nata bmalr e pamalesnar atu paisr eni
na = r alugnanata bmalr e p
=r .na b)gnidnileg(r atu psuidar
heloihur agne pidagu jnamer egne payagutigni pmasiD
,k imanidor eananahat,na bgnidnilegnanahatitr e pesr otk af a par e be b
tnanahatnadisimsar tnanahat k a jna ek k utnu(na gnaynaar adn
.)k iannala jr e b (latotta bmahayagnaik imednagneD r ayagnatluse
ta bmah :tuk ir e biaga besgnutihidta pad)
R a
g/a.Wh a nisW R d
ah
R f r B F f b h dl1
l2 R rr A rbF
socW WW f L W r
1r a bmaG
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F ser F= b f + r socW R + a R + t nisW
:nagnar eteK
f r nahatneisif eok = na gnidnileg ador
naar adnek tar e b=W
tudus= e pol s nala j
R a k imanidor eananahat=
R t isimsnar tnanahat=
nisW (adnatir e bid + .k iannaar adnek ak i j)malaD naadaek ,lamr on t nanaha ,licek tagnasisimsnar t aggnihes
d .nak ia baidta pa
)3 . :nameregnePamaleSsoroPadaplamroNnabeB
sor o pir adna be br ef snar thalida jr etnamer egne psesor pamaleS
k na pedsor o pek gnak ale b nemommaamasr e ptur uneM.naar adne id
ak am,gnak ale bnu puamna pedidk ia bnala jnagnedna bk atnok k itit
W(na pedsor o pada plamr onna be baynr ase b f lamr onna be bnad)
W(gnak ale bsor o pada p r nagnedgnutihidta pad) :naamasr e p
1 WW f = ---- lW{ 2 (h+ ---- a R a nisW })
gL
W1W r = ---- lW{ 1 (h ---- a R a nisW })
gL
e pmalaD ,sataidnaamasr a .nata bmalr e phalada
nisWak amk iannala jr e bnaar adnek ak iteK (adnatr e b .),naar adnek tar e btasu pada pa jr ek e bk imanidor eananahat paggnaiD
na be badak aditanasidnad r abwar d R ( d)
tur unemayntu jnaleS ayagnaamasr e p - latnosir ohhar amaladayag
:helor e pid)naar adnek gna jnamemu bmushar aes(
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WF b f + r F=W f b F+ r b f + r W = --- a aR nisW
g
Fsataidnaamasr e pmalaD f b Fnad br tur utr e b - ayaghaladatur ut
.gnak ale bnadna pedsor o pada pnamer egne p
Wmaladek tu besr etnaamasr e pnak isutits busnemnagneD f Wnad r
agr ahta padidnak a - sor o pada plamr onna be bagr ah - amalessor o p
sesor p :namer egne p
1:na peDsor oPlamr o Nna beB W f = ---- lW{ 2 F(h+ b f + r })W
L
1:gnak aleBsor oPlamr o Nna beB W r = --- lW{ 1 F(h b f + r })W
L
mumisk aMnameregnePayaG.)4
gnaysor o paudnaar adnek ada pmumisk amnamer egne payaG
idta pad helonak utnetidnala jnagnedna baynk atnok helognuk ud
namer egne payagak iJ.)(nala jisehdaneisif eok nadlamr onna be b
gnisamgnak ale bnadna pedsor o pk utnumumisk am - gnisam
Fnagnednak ataynid f b sk am Fnad br sk am gnisamaynr ase bak am - gnisam
ihidta pad :tuk ir e biaga bessumur nagnedgnut
F f b sk am W.= f Fnad br sk am W.= r
Wak iJ f Wnad r :helor e pidinisumur maladek nak isutits busid
W l{ 2 (h+ f + r })F sk amf b = ---------------------------
L
W l{ 1 (h + f r })F sk amrb = ---------------------------
L
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.)5 atoTayaGisroporP nameregnePl :
nu puamna pedsor o pada platotnamer egne payagisr o por P nak gnidna bmemnagnednak utnetidta padnaar adnek gnak ale bsor o p
:utiay,mumisk aMnamer egnePayaGaudek
K f b F sk amf b l2 (h+ f + r )----- = ---------- = ------------------
K rb F sk amrb l 1 (h f + r )
K :natataC f b K + br 1=%001=
eS k utnuayntu jnal uatana pedador hak a panak utnenem
ulr e pak am,uluhadhi bel)mer egnem(icnuk r etnak agnaygnak ale b
ir adagr ahiuhatek id ak gna )sor o p(ador audek ada pnata bmalr e p
.)isatif ar g(gnautasmaladnak ataynidgnay
a l2 / K +L f b f . r --- = ---------- - -----------
f g K f b h / L
a l1 / K +L .rb f r --- = --------------------
rg K rb + h / L
:ak i juluhadhi bel)itnehr e b(icnugnemnak ana pedadoR
aa--- < ----
g r gf
:ak i juluhadhi bel)itnehr e b(icnugnemnak agnak ale badoR
aa--- < ----
f gr g
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laoshotnoC :
iaynu pmem)sor o paud(gna pmune pnaar adnek hau beS e sabl eehw = nadna pedsor o pgnak ale bidmc09adar e bayntar e btasu p,mc002
Nk 21=naar adnek tar eB.r atadnala jnaak umr e psataidmc06
0=gnidnilegnanahatneisif eok nagned nala jisehdaneisif eok nad5,
nala jsataidnala jr e bgnadestu besr etnaar adneK .7,0=na bnagned
a bitutausesaner ak i patet,utnetr etnata pecek nagnedr atad - a bit
:halnak utneT.itnehr e bia pmasnamer egne pnak uk alid
paitesada pmumisk amnamer egne payaG.)a .naar adnek sor o p
amalesnaar adnek sor o p paitesheloatir edidgnayna beB.) b
.namer egne psesor p
.naar adnek sor o p paitesidlatotnamer egne payagisr o por P.)c
.uluhadhi belicnugnemgnayanamadoR .)d
naiaseleyneP :
hatek iD iu sataidnala jr e bgnadesgna pmune pnaar adnek hau beS:
a bitr atadnala j - .itnehr e bia pmasmer ida bit
=L mc002 Nk 21=W
l1 lmc09= 2 L= l 1 002= mc011=09
f mc06=h r nad5,0= = 7,0iD nak aynat F.)a: f b sk am Fnad br sk am
b .) W f Wnad r namer egne pamales
K .)c f b K nad br
.uluditnehr e bgnayanamadoR .)d
bawaJ : l{W 2 (h+ f + r })
F.)a sk amf b = --------- -- ------------------L
21.7,0 { 5,0+7,0(06+011 )}= --- ---- ----------------- --------- ---
002
= 7 446, Nk
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l{W 1 (h f + r })F br sk am = --------- -- ------------------
L
21.7,0 { 09 5,0+7,0(06 )}= - ---- ----------------- --------- --- = ,0 657 Nk
002
.) b W f = F sk amf b / = 7,0/446,7 Nk 29,01=
W r = F br sk am / = 657,0 7,0/ Nk 80,1=
K f b F sk amf b Nk 446,7.)c ----- = --------- - = ------------ = 11,01
K r b F sk amr b Nk 657,0
K f b .11,01= K br K f b 1= K f b
K f b 1(.11,01= K f b 11,01=) .11,01 K f b
K f b .11,01+ K f b 11,01=
11,11 K f b 11,01=
11,01K f b = -------- = 19,0 K rb 1= =19,0 90,0
11,11
uata K f b = 19 % nad K f b = %9
a l2 / K +L f b f . r .)d --- = ---------------------
K f g f b h / L
.7,0 011 / 002 + 19,0 5,0.. = ------------- -- ---- ------- = 2,1
19,0 06.7,0 / 002
a l1 / K +L .r b f r --- = ------------- - -------
K r g r b + h / L
.7,0 09 / 002 + 90,0 . 5,0= ----------------- ---------- - -- 2,1=
90,0 + .7,0 06 / 002
aaaner aK --- = ---- ador audek ak am
amasr e bitnehr e br gf g
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.c namuk gnaR :1
halashaladasor o paudnaar adnek uatagna pmune pnaar adneK .)1 utas
ta padsur ahaynu jalak am,nak anugidk ayna bgnaynaar adnek sine j
.k ia ba jr ek e bgnaymer metsisaynadaulr e paggnihesnak iladnek id
haladamer a jr ek nau pmamek isaulavegnemk utnuair etir k utashalaS.)2
ua jnitidamatur et,namer egne pk itsir etk ar ak ayagaynadair ad - ayag
.naar adnek ada pa jr ek e bgnayr aul
R .)3 ta bmahayagnatluse idnala jr e bgnaygna pmune pnaar adnek ada p
e polsnagnednala jsata gnutihidta pad sumur nagned :
F ser F= b f + r socW R + a R + t nisW
B.)4 W(na pedsor o pada plamr onna be baynr ase f nad) W(gnak ale b r )
namer egne pamales nagnedgnutihidta pad :sumur
1:na peDsor oPadaP W f = ---- { lW 2 F(h+ b f + r })W
L
1:gnak aleBsor oPadaP W r = --- lW{ 1 F(h b f + r })W
L
gnisamgnak ale bnadna pedsor o pada pmumisk amnamer egne payaG.)5 -
:tuk ir e biaga bessumur nagnedgnutihidta padgnisam
F f b sk am W.= f nad F rb sk am W.= r
uatA W l{ 2 (h+ f + r })
F sk amf b = ---------------------------L
W l{ 1 (h + f r })F sk amrb = ---------------------------
L
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sor o pnu puamna pedsor o pada platotnamer egne payagisr o por P.)6
audek nak gnidna bmemnagnednak utnetidta padnaar adnek gnak ale b:utiay,mumisk amnamer egne payag
K f b F f b sk am l2 (h+ f + r )----- = ---------- = ------------------
K rb F sk amrb l 1 (h f + r )
K :natataC f b K + br 1=%001=
k a panak utnenemk utnU.)7 nak agnaygnak ale buatana pedador ha
ir adagr ahiuhatek idulr e pak am,uluhadhi bel)mer egnem(icnuk r et
ak gna maladnak ataynidgnay)sor o p(ador audek ada pnata bmalr e p
.)isatif ar g(gnautas
a l2 / K +L f b f . r --- = --------------- - ------
f g K f b h / L
a l1 / K +L .rb f r --- = --------------- - -----
rg K rb + h / L
edadoR :ak i juluhadhi bel)itnehr e b(icnugnemnak ana p
aa--- < ----
gf g r
:ak i juluhadhi bel)itnehr e b(icnugnemnak agnak ale badoR
aa--- < ----
f gr g
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.d saguT 1 :
S iaynu pmem)sor o paud(gna pmune pnaar adnek hau be e sabl eehw =
nadgnak ale bsor o pna pedidmc011adar e bayntar e btasu p,mc012 nagned Nk 51=naar adnek tar eB.r atadnala jnaak umr e psataidmc05
ala jisehdaneisif eok nad2,0=gnidnilegnanahatneisif eok na bnagnedn
nagnedr atadnala jsataidnala jr e bgnadestu besr etnaar adneK .57,0=
a bitutausesaner ak i patet,utnetr etnata pecek - namer egne pnak uk alida bit
:halnak utneT.itnehr e bia pmas
.naar adnek sor o p paitesada pmumisk amnamer egne payaG.)1
na beB.)2 amalesnaar adnek sor o p paitesheloatir edidgnay
.namer egne psesor p
.naar adnek sor o p paitesidlatotnamer egne payagisr o por P.)3
.uluhadhi belicnugnemgnayanamadoR .)4
.e f itamrof seT :1
a pmune pli bomhau beS iaynu pmem)sor o paud(gn e sabl eehw =
nadgnak ale bsor o pna pedidmc521adar e bayntar e btasu p,mc042
nagned Nk 22=naar adnek tar eB.r atadnala jnaak umr e psataidmc55
na bnagnednala jisehdaneisif eok nad2,0=gnidnilegnanahatneisif eok
.7,0= nagnedr atadnala jsataidnala jr e bgnadestu besr etnaar adneK
a bitutausesaner ak i patet,utnetr etnata pecek - namer egne pnak uk alida bit
.ted/m18,9=isatif ar gnata pecr e pak iJ.itnehr e bia pmas 2 :halnak utnet,
a pedsor o pada pmumisk amnamer egne payaG.)1 .n
gnak ale bsor o pada pmumisk amnamer egne payaG.)2
.namer egne pamalesna pedsor o pada plamr onna beB.)3
.namer egne pamalesgnak ale bsor o pada plamr onna beB.)4
.na pedsor o pada platotnamer egne payagisr o por P.)5
ada platotnamer egne payagisr o por P.)6 .gnak ale bsor o p
.uluhadhi belicnugnemgnayanamadoR .)7
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R 2a W ih W 2
d 2 h 1a W 2 ag/a.
R 1a d 1 W 1
F ih h 2 h 1a
h 3
l 1 F f b F rb F sb L 1
L 2 W f W r W s
.2r a bmaG
.f icnuK J bawa FseT f itamro :1
F.)1 f b sk am = K .)5 Nk 02,11 f b 37,0=
F.)2 r b sk am .)6 Nk 02,4= K r b 72,0=W.)3 f na peDadoR .)7 Nk 61=
W.)4 r Nk 6=
:2ra jaleBnataigeK .2 nameregnePk itsiretk araK r ot car T - r el i ar t i mes
:2ra jaleBnataigeK nau juT.a
sor o pada plamr onna be bnak utneneM.)1 r ot car t - r el l iar t ime s amales
.namer egne psesor p
ada pmumisk amnamer egne payagnak utneneM.)2 r ot car t - r el l iar t ime s
:2iretaMnaiarU.b
.)1 nauluhadneP
ada pnamer egne pk itsir etk ar aK r ot car t - r el iar t ime s hi bel
k utnU.gna pmune pnaar adnek nagnedgnidna bidsk el pmok r ot car t -
r el iar t ime s gni pmasidnamer egne pamalesna be bnahadnime p
e payaggnutnagr etagu jnata bmalr e pnata pecek gnutnagr et namer egn
ir ad r el iar t .ayn
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nameregnePak inak eM.)2
ayagnak k u jnunem2r a bmaG - ada pa jr ek e bgnayamatuayag
r ot car t r el iar t ime s .namer egne pamales maladnak hadumemk utnUR (k imanidor eananahatak am,aynsisilanagnem a nanahatnad)
R (gnidnileg r .aynhur agne pnak ia baid)
namer egne psesor pada puk alr e bgnayna be bnaamasr eP r ot car t
r el iar t ime s :halada
a .) k utnU r ot car t :
W f W=r W+ 1 W+ ih
C f W f r Wr C+ = g
a W 1 F+ ih
g
a W 1h1 F+ ih h3 W+ 1 L( 1 l 1 d 1 d.r W+) 1 W= f l( 1 d 1 )
.) b k utnU r el iar t ime s :
W ih =sW+ W 2
F ih =sW.sC+ g
a W 2
W 2 d2 F+ ih =3h. g a W 2 h2 L.sW+ 2
.)c isani bmok k utnU r ot car t - r el iar t ime s :
W f W=sW+r W+ 1 W+ 2
C .f W f =sW.sC+r W.r C+ g
a W( 1 W+ 2 )
g
aW .1 h1 +
g
a W .2 h2 L.r W+ 1 L(sW+ 1- d 1 L+ 2 W=) l l 1 W+ 2 L( 1 - d 1 d+ 2)
naamasr e pmalad :sataidnaamasr e p
W ih ada plak itr evna be b= t nio phct ih
F ih ada platnosir ohna be b= t nio phct ih
naar adnek nata bmalr e p=a
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Cf C, r Cnad, s tur utr e b - namer egne payagoisar haladatur ut
na pedsor o pada plamr onna be b padahr et r ot car t sor o p,
gnak ale b r ot car t sor o pnad, .r el iar t ime s
lamroNnabeB.)3
naamasr e pir aD - gnisamk utnulamr onna be bak am,sataidnaamasr e p -
:tuk ir e biaga besnak utnetidta padsor o pgnisam
na pedsor o pk utnU.)a r ot car t :
W1 L{ 1 l 1 h)g/a(+ 1 C(+ r h)g/a 3}
W f = ----------------- ---------------------------- +L1 C(+ r C f h) 3
W2 L{ 2 d 2 C(+ s h)g/a 3 h)g/a(+ 2 d(} 1 C+ r h3)----------------------------------------------------------
L( 2 C+ sh3 L{) 1 C(+ r C f h) 3}
gnak ale bsor o pk utnU.) b r ot car t :
W1 l{ 1 h)g/a( 1 g/a(+ C f h) 3}W r = ------------------------------------------- +
L1 (+ C r C f h) 3
W2 L({ 2 d 2 C(+) s h)g/a 3 h)g/a(+ 2 L({} 1 d 1 ) C f h3}- --------------------------------------------------------------------- -
L( 2 C+ sh3 L{) 1 C(+ r C f ) h3}
sor o pk utnU.)c r el iar t ime s :
W2 d{ 2 h(+ 3 h 2 }g/a)W s = ------------------------------
Cs h3 L+ 2
naamasr e pir aD - nak utnenemk utnuawha bk a pmatsataidnaamasr e p
be b ada pnamer egne payagneisif eok nadak gnaataynr etlamr onna
sor o p r el iar t ime s .nak utnetiduluhadhi belr etsur ahsC
sor o pada pnamer egne payagnadnata bmalr e pak gnaak iJ
r el iar t ime s sor o pada plamr onna be bak am,iuhatek id l iar t ime s r e ta pad
gnutihid nadlatnozir ohna be bagu jutige b,sataidsWsumur nagned
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ada plak itr ev t nio phct ih naamasr e pnagnedgnutihidta pad - naamasr e p
nagneD.) br omon)2 ba b bus36namalahada pnak silutidhaletgnay
agr ah - Wagr ah ih Fnad ih aynr ase bgnutihidagu jta padtu besr et na be b gnak ale bnadna pedsor o pada plamr on r ot car t naamasr e piulalem -
.)ar omon)2 ba b bus36namalahada pnaamasr e p
mumit pognaynamer egne pisidnok helor e pidr agaayntu jnaleS
agr ahia pacnemta padsor o paumesidnamer egne payaganamid
mumisk am itak ednemsur ahgnautasmaladnata bmalr e pak gnaak am,
nala jisehdaneisif eok nagned)amas( C, f C= r C= s a= =g .sor o pada plamr onna beB - ta padnamer egne pamalestu besr etsor o p
:ida jnemnak anahr edesid
W 1 L( 1 l 1 + h 1) W 2 L( 2 d 2 + h 2 d() 1 + h 3)W f = - ---------------------- + ---------------------------------------
L 1 L 1 L( 2 + h. 3 )`
W 1 l( 1 - h. 1 ) W 2 L( 2 d 2 h.+ 2 L() 1 - d 1 - h. 3)W r = -------------------- + ---------------------------------------------
L 1 L 1 L( 2 h.+ 3)
W 2 d{ 2 .+ h( 3 h 2 })W s = -----------------------------h. 3 L+ 2
:mumisk amnameregnepayaG.)4
gnaynamer egne pisidnok ada plamr onna be bnaamasr e pir aD
agu jnak utnetidta padak amr ihk ar ettu besr etmumit po ayagir adagr ah
Futiay,mumisk amnamer egne p sk am b W.= :aggnihes
F f b sk am W.= f
F rb sk am W.= r
F sb sk am W.= s
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laoshotnoC :
naar adnek hau beS r ot car t - r el iar t ime s tar e b:iaynu pmem r ot car t , Nk 76
tar e b r el iar t ime s , Nk 762 r ot car t e sabl eehw sor o p,mc183=r el ir at ime s gnak ale bidmc117adar e b r ot car t , t nio phct ih adar e b
sor o pna pedidmc16 gnak ale b r ot car t .nala jsataidmc261nad
isatif ar gtasuP r ot car t na pedsor o pgnak ale bidmc302adar e b r ot car t
isatif ar gtasu pgnades,nala jsataidmc79nad r el iar t ime s adar e b
sor o pna pedidmc033 r el iar t ime s .nala jnaak umr e psataidmc871nad
i patet,r atadgnaynala jsataidnala jr e bgnadestu besr etnaar adneK
a bitutausesaner ak - nak utnetidak iJ.itnehr e bia pmasmer ida bit
:halnak utneT.8,0=nala jnagnedna bisehdaneisif eok
sor o pada plamr onna beB.)a - ani bmok naar adnek sor o p tu besr etis
.namer egne psesor pamales
naar adnek sor o p paitesada pmumisk amnamer egne payaG.) b
:naiaseleyneP
iuhatek iD isani bmok naar adnek hau beS: r ot car t - r el ir t ime s
W 1 l Nk 76= 1 mc302=
W 2 h Nk 762= 1 mc79=
L 1 hmc183= 2 mc871=
L2 d1 Lmc117= 2 d2 mc033=
d1 hmc16= 3 mc261=
8,0=
nak aynatiD W.)a f W, r Wnad s
F.) b k amf b F, k amr b F, sk ams b
bawaJ L: 2 d+117= 1 mc277=16+117=
d 2 L= 2 277=033 =033 mc244
W. 1 L( 1 l 1 + h1 W) 2 L( 2 d 2 + h2 d() 1 + h3)W.)a f = - ---------------------- + ---------------------------------------
L1 L1 L( 2 + h. 3 )
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183(76 79.8,0+302 ) 277(762 16()871.8,0+244 )261.8,0+W f = -------------------------- + --------------------------------------------
)261.8,0+277(183183
= 59,06+59,44 09,501= Nk
W 1 l( 1 h. 1 W) 2 L( 2 d 2 h.+ 2 L() 1 d1 h. 3)W r = -------------- ------ + ---------------------------------------------
L 1 L1 L( 2 h.+ 3)
76 302( 79.8,0 277(762) 183()871.8,0+244 16 )261.8,0W r = - -------------------- + -----------------------------------------------------
183 )261.8,0+277(183
= 19,96+50,22 Nk 69,19=
W2 d{ 2 (.+ h 3 h 2 })W s = -----------------------------
h. 3 L+ 2
762 { 244 + 8,0 ( 261 871 })W s = ------------------------------- = Nk 01,721
8,0 . 261 + 277
F.) b f b sk am W= f sk am =8,0.09,501=. Nk 27,48
F r b sk am W= r sk am =8,0.69,19=. Nk 75,37
F s b sk am W= s sk am . = 8,0.01,721 Nk 86,101=
.c namuk gnaR :2
ada pnamer egne pk itsir etk ar aK .)1 r ot car t - r el iar t ime s sk el pmok hi bel
ayaganer ak sor o paudnaar adnek nagnedgnidna bid - amatuayag
a jr ek e bgnay ada p r ot car t r el iar t ime s hi belnamer egne pamales
ak am,aynsisilanagnemmaladnak hadumemk utnunuman,k ayna b
nak ia baid)r R (gnidnilegnanahatnad)aR (k imanidor eananahat
.aynnialnanahatgnidna bidaynitr alicek tagnasaner ak aynhur agne p
na beB.)2 sor o pada pnahatidgnaylamr on - sor o p r ot car t r el iar t ime s
:sumur nagnedgnutihidta padnamer egne pamales
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W 1 L( 1 l 1 + h 1 W 2 L( 2 d 2 + h 2 d() 1 + h 3)W
f = - -------------------- + ----------------- ---------------------
L 1 L 1 L( 2 + h. 3 )`
W 1 l( 1 - h. 1 W) 2 L( 2 d 2 h.+ 2 L() 1 - d 1 - h. 3)W r = ------------------- + ------------- --------------------------------
L 1 L 1 L( 2 h.+ 3)
W 2 d{ 2 h(.+ 3 h 2 })W s = -----------------------------
h. 3 L+ 2
.)4 :sumur nagnedgnutihidaynsor o p paitesmumisk amnamer egne payaG
F f b sk am W.= f
F rb sk am W.= r
F sb sk am W.= s
.d 2saguT :
r adnek hau beS naa r ot car t - r el iar t ime s tar e b:iaynu pmem r ot car t 06
tar e b, Nk r el iar t ime s , Nk 042 r ot car t e sabl eehw sor o p,mc073=
r el ir at ime s gnak ale bidmc007adar e b r ot car t , t nio phct ih 55adar e b
gnak ale bsor o pna pedidmc r ot car t .nala jsataidmc021nad tasuP
isatif ar g r ot car t na pedsor o pgnak ale bidmc091adar e b r ot car t nad
isatif ar gtasu pgnades,nala jsataidmc001 r el iar t ime s mc003adar e b
sor o pna pedid r el iar t ime s .nala jnaak umr e psataidmc561nad
sataidnala jr e bgnadestu besr etnaar adneK nagnedr atadgnaynala j
a bitutausesaner ak i patet,ma j/mk 09nata pecek - ia pmasmer ida bit
.8,0=nala jnagnedna bisehdaneisif eok nak utnetidak iJ.itnehr e b:halnak utneT
sor o pada plamr onna beB.)1 - tu besr etisani bmok naar adnek sor o p
ales .namer egne psesor pam
naar adnek sor o p paitesada pmumisk amnamer egne payaG.)2
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.e f itamrof seT :2
naar adnek hau beS r ot car t - r el iar t ime s tar e b:iaynu pmem r ot car t , Nk 05
tar e b r el iar t ime s , Nk 042 r ot car t e sabl eehw ,mc053= sor o p r el ir at ime s
gnak ale bsor o pgnak ale bidmc096adar e b r ot car t , t nio phct ih
gnak ale bsor o pna pedidmc25adar e b r ot car t .nala jsataidmc041nad
isatif ar gtasuP r ot car t na pedsor o pgnak ale bidmc081adar e b r ot car t
a jsataidmc59nad isatif ar gtasu pgnades,nal r el iar t ime s 013adar e b
sor o pna pedidmc r el iar t ime s .nala jnaak umr e psataidmc061nad
aner ak i patet,r atadgnaynala jsataidnala jr e bgnadestu besr etnaar adneK
a bitutauses - isif eok nak utnetidak iJ.itnehr e bia pmasmer ida bit isehdane:halnak utneT.6,0=nala jnagnedna b
sor o pada plamr onna beB.)1 - tu besr etisani bmok naar adnek sor o p
.namer egne psesor pamales
.naar adnek sor o p paitesada pmumisk amnamer egne payaG.)2
.f awaJicnuK f itamroFseTb :2 .
W.)1 f = Nk 72,87
W r = Nk 03,38 W s = 30,221 Nk
F.)2 f b sk am = Nk 69,64
F r b sk am = Nk 89,94
F s b sk am = Nk 22,37
:3ra jaleBnataigeK .3 isneisif E k araJnad nameregneP
:3ra jaleBnataigeK nau juT.a)1 . eM pesnok imaham namer egne pisneisif e
)2 . egne pk ar a jnak utneneM namer .laminimnamer egne pk ar a j/
)3 . namer egne pk ar a jnak utneneM .naha bmat
)4 . namer egne pk ar a jnak utneneM .latot
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:3iretaMnaiarU.b
.)1 nameregnePisneisif E
eayngnitne ptagnastagnigneM iga bmer metsisisgnuf nadk ef ak imanidgnatnethua jhi beli jak idulr e pak am,naar adnek utaus
lahiuhategnemnagnedaner aK .namer egne p - hisamnik gnumgnaylah
aynak imanidalagesnagnednamer egne pmetsisnagnedtiak r et
naar adnek naanacner e pmaladnak par ahid gnaylisahhelor e pidta pad
gnaynadnali batsek ,nanamaynek ihunememta padaynitr a,lamisk am
.tu besr etnaar adnek ar adnegne pnatamalesek nima jnemta padamatu
utausnamer egne pk itsir etk ar ak gnatnetiuhategnemhi belk utnU
naar adnek namer egne pisneisif ehalasamir a jale pidagu julr e pak am,
r otk af haladainilahmaladk usamr et,icnir ar acesnaar adnek - r otk af
.aynihur agne pmemgnay
utausiaga besnak isinif edidta padnamer egne pisneisif E
ak gnaar atnanagnidna br e p ta padgnaymumisk amnata bmalr e p
.nala jisehdaneisif eok nagneditnehr e bnaar adnek mule besia pacid
:tuk r e biaga bessilutidta padnamer egne pisneisif esitametamar aceS
g/a b = ---- ---
nata bmalr e pak gna=a
imu bisatif ar gnata pecek =g
nala jisehdaneisif eok =
aak i jawha bk a pmatsataidnasumur ir aD --- < ak am b 1