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T. e. BeKmop cKopocmu AI06oii mo•u\.u epaU{a!Owp.ocfl meAa paeeH eeKmopHOMY npou3eeaeHUIO YcAoeou CKOpocmu meAa Ha paauyc-eeKmop amoii tnOtiKU. ¢OpMyJiy (48) Ha3b!BaiOT cpOpMyJIOH 3ii:Jiepa.

Bepa or o6eux qacTeii paseHcTBa (48) rrpou3BOJJ.Hbre no speMeHH, llOJIY4HM

ci>opMyJia (49) oiTpeJ].emrer BeKrop ycKopeHHH moooii T04KH spamaiOmerocH reJia.

BeKrop BX r HarrpaBJieH, KaK II BeKTOp ffi X r, T. e. ITO KaCaTeJibHOH K TpaeKropuu TO'IKHM, a (exrl=er sin a=eh. BeKTop *e wxv HaITpaBJieH BJJ.OJib MC, r. e. ITO HopMaJiu K rpaeKropuu ro4KH M, a lw x Xv\=wvsin 90°=w2h, raK KaK v=wh. Y4HTbiBaH see ::~ru pe3yJihTaThr, a TaK>Ke cpOpMyJibi (45), 3aKJIIO'!aeM, 'ITOeXr ~ H ruXV=a11 •

3a)J.a'la 54. BaJI, ,!(eJ!aJOW:HH n=90 o61MHH, nocJie BbiKJIIO'IeHHH ,!(BHraTeJia na- 'IHHaeTnpaw:aThCR panno3aMe!l,.TieHHO H OCTaHaB.'IHBaeTcRqepe3 t1=40 c. OnpeAeJIHTb, CKOJibKO o6opOTOB Cl\eJiaJ! B8•1 3a 3TO BpCMH.

p e Ill ell He. TaK K3K BaJ1 BpamaeTCH paBH03aMe,!(J!eHHO, TO J],JlH Hero, C'IHTa5!

<i'o=O, 6y,!(eT

(a)

HaiJaJibHOH yr.ITOBOH CKOpOCTblO npH 3aMC,!(J!eHHOM Bpaw:eHHH HBJIS!eTcH Ta, KoTopyro BaJI HMeJI AO BbTKJIJO'!eHHHADHraTeJia. CJie,!(oBaTeJibHO,

O=:rtn/30+ct1 H e=-:rtn/30t1.

ECJIH o6o3Ha'IHTbqHcJio c,!(eJiaHHblX BaJJOM 3a apeMSI t1 o6opoToB qepea N (He CMeiiJHBaTb C n; n - yrJIOB35! CKOpOClb), TO yroJI IIOBOpOTa 38 TO JKe BpeM5! 6y,!(eT paBeH =2:rtN. ITO,!(CTaBJI5!H H3H,!(elliii>le 3Ha'leHH51 e H q1 B nepnoe H3 ypaBHeHHH (a),

TIOJIY'IHM

2nN= (nn/30)t1-(nnj60) t1 =(:rtn/60)ti,

N= nt11120=30 o6.

3a,IJ.a'la55. l'vlaxoBHK paAuycoM R=0,6 M npam,aerca paBHOMepHo, ,IJ.eJiaa n= =90 o6fMHH. Onpe,!(eJIHTb CKOpOCTb H ycKopeHHe TO'IKH,JieiKalll.eH Ha 060,!(e M3XOBHKa.

p e lii e H H e. CKopOCTb TO'!KH o6o,IJ.a V=R W, r,!(e yrJIOBa5! CKOpOCTb W ,ll.OJIJKH3 6h1Tb BblpaiKeHa n paAHaHax B ceKyHAY· TorAa w=nnl30=3:rt a v=R·3:rt~5,7 M/c•

.UaJiee, TaK KaK w=const, To e=O, H, cJie,IJ.oBaTeJihHO,

a=an=Rw2=R·9n2~53,3 Mlc2•

onpe,IJ.eJIHTb 3HaqeHR5! noCTORHHbiX Ko:;,¢¢mJ,HeHTOB c0 , c1 , c2 H k H3 ycJioBHH, 'lTDnpH t=O ,1:\0JIJKHO 6b!Tb t:p0 =0 H W0=0 H 'ITOnpe,!(CJibH35! yrJIOBa5! CKOpOCTb, ,ll;O KOTOpofi

125

pasroHHeTCH MaxoBHK Wnp=50 c- 1 , aero ynwBoe ycKopeHne npa pasro11e ne )l;OJJJKHO npeBbiiiJaTb 3H3'leHUHeH= 10 c- 2. HaihH Ta!oKe, KaKoe ycKopen:ae 6y.r~eT npn 9TOM y TO'leKo6o.r~a \13\0BHKa B MOMeHT spC11enn t1= l c, ecJm pa;~.nyc MaxosnKa R=0,4 M. p e llJ e H He. l13 ypaBHeHHH (a) BH)l;HO, 'ITOllpH t=O <p~O, ecJJH c0+c2=0, T. e.

paBCHCTBa Bll;J.llO, 'ITOC cO BpeMeHe~l YCblB<l~T, CTpCWlCb ({ ny,IIO, a t·JaH60.~bU:ee 3Ha-

=32,4 Mlc2 n a=Vai+a~=32,6 M,'c.2 •

3aJI.aqa 57. rpys B (pnc. l40l npncopnT ao rparr enne ra,T panrrycm-r r n cn,c~.H· ill)'lOHa O,!(HOH OCH C B3JIOM llJCC1epH!O J pa~h:\CC\1 r1 . Ll,BHJKeHHe rpysa H3'llmaeTCH 1!3 COCTOHHHH IIOKOH II npOHCXO,JHT C !lOl'TOlHIJlbl\1) CKopeHHeM a. 0npe,c~.e.1!1Tb, IIO K3· KOMY saKoHy oyJieT np11 3TOM BpammvcH H3~\0,'!i'IL(a>.cH B 3a:J.enJien,m c mccrepHeii 1

rnecrcpHH 2 pa.J:Hyet M rz·

P em e 11 H e. TaK KaK rpya B H3'1l-lllaeTJJ.Pllr3TbCH 6e3 Ha'la.1bHoi1 cKopocTH, TO era CKOpOCTb B JII06oii MO~IeHT Bper,Je!lll t p:lSHa Cf (vs=af). 3ry CKOpOCTh uy,ayr

l!MeTb H TO'!KH 060J1ll BaJJa. Ho, C !L(lyroii CTO(JOHH, CKOpOCTH 3fHX TO'leKpaBI!bl w1r, r,!(e w1- o6ruaH ;J.JJH BaJia H rnccTepHH 1 yrJJoBall chopocrh. C1ei'\oBaTe.'lbHO,

w1r=at, w1 =ai'r.

W2 = (r1 'r2)w1 =(r1a r"r)t.

HTaK, yrJronaH cKopocTh meCTepHH 2 pacreT nponopnuona.JJhHO BpCMCHH. Yt!llThiBaH, '!TOw2=dlh'dt,r.r~e 2, no.'ly'IIIM

dcp1= (r 1 a'r2r)ldt.

0TC!0,!(3, 6ep5! OT o6eHX 43CTCH HHTerpaJib! H C'lliT351,'ITOllpH f=Q yro.'!

* 3Ha'leHHe(I) MOMeT H3MeHHTbCll !10 3aKOHY (JI), KOf.Ila Ha MaXOBIIK .'leilcTBYIOT !10CT05!HHblll Bpalll,a!Olll,HH MOMei!T H MOMeHT CH.'lconpOTHB.lJeHHll, nponOpi.\HOHaJlbHbiH w (3a/l.a'la 150 B § 128).

126

rnasa XI

OJIOCKODAPAJIJlEJlbHOE ~BR>KEHME TBEP~OfO TEJIA

§52. YPABHEHlUI flJIOCKOflAPAJIJIEJihHOfO ABH)I(EHH.SI ~BH)I(EHH.SI llJIOCKOfl «<lHfYPbl).

PA3J10)1(EHHE ABH)I(EHH51 HA flOCTYOATEJlbHOE H BPAJ.UATEJibHOE

llMcKonapaA.Ile.1bHb/.Jft (mm nAoCKU.M) Ha3bwaemcH maKoe OBUJ/Cettue meepaoco meAa, npu Komopo.M ece eco mottKu nepeJdeU{momcH napaAAeAbHo HeKOmopoii cpUKCUpOBaHHOU nAOCKOCtnU ll (piTC. 141). fJJIOCKOe )].B!ltKeHITe

coBepwaiOT MHoriTe '!aCTITMexaHH3MOB IT Marrnm, nanpiTMep KanmJ.eecH KOJieco na npHMOJIITHeiinoM Y':WCTKe nyTI-I, waTyH B KpHBownnHononsyHHOM MexaHIT3Me IT JJ.p. LJ.acTHbiM cnyqaeM rrnocKonapanneJihHoro )].BHJKeHITH HBJIHeTCH BpaiiJ,aTeJibHOe )].BITJKe!IITe TBep)].OrO TeJia BOKpyr HeOO)].B!DKHOif OCIT.

y

PHc. 142

TeJia KaKofr-HHOYJJ.h ITJIOCKOCTbiO Oxy, rrapa.'I- JieJihHOif IT.'IOCKOCTH fl (piTC. 141). f1piT IT.'IOCKOITapaJIJieJibHOM )].Bl!JKeHITH Bee TOl!KIT TeJia, Jie)KaiiJ,He Ha rrpm>1oii MM', rreprreHJJ.HJ{YJIHpnoii ceqeHITIO S, T. e. nnocKOCTIT TI, JJ.Bin!<yTcB TO)KJJ.eCTBeHHO.

OrciO)].a saKJIIOtraeM, liTO )].JIII IT3yl!eHHH JJ.B!ltKeHITH Bcero TeJia JJ.Oc· TaTOl!HO IT3Yl!ITTh, KaK JJ.BH:rKeTcn B ITJIOCKOCTH Oxy ceqenue S 3Toro TeJia ITJIH HeKOTOpaH ITJ10CKMI 4J11rypa S. f103TOMY B )].aJibHei'uneMBl'.JeCTO ITJIOCKOrO )].BIT)!{eHIUI TeJia oy)].eM paccMaTpiTBaTb )].BIT)KeH!Ie ITJIOCKOlf ¢nrypb! s B ee ITJIOCKOCTIT, T. e. B ITJIOCKOCTH Oxy. T1piT 3TOM Bee pe3YJihTaTbi, KOTOpbre OYJJ.YT rronytreHbi B § 53-59 )].JIH TO'!eK rrnocKo!"r ¢ITryphr, cnpaBe.!l.Jll1Bhi, KOHetrno, IT )].JIH Tol!eK cetieHITH S TBep)].oro TeJia, lJ.BHJKyUJ.erDCH ITJIOCKOITapaJIJieJibHO.

T1oJIO)Kemre ¢Hryphr S B rrnocKOCTH Oxy orrpe)].eJIHeTC5I rroJIOJKeHHeM KaKoro-nu6yJJ.b rrpoBe)].ennoro na 3Tofr ¢urype mpe3Ka AB (puc.

B cBOIO otrepeJJ.b rroJio)KeHHe OTpesKa AB MO)KHO onpeJJ.eJIHTb, 3HaH KoopTOtrKH A u yroJI cp, KOTOpbiH OTpe3oK AB o6pagyeT c ocbiO x. Tol!KY A, Bbr6pannyiO )].JIH orrpeJJ.eJieHHH rroJIO)KeHmr q:mryphl S,

6y.n.eM B )].aJibHeiiweM Ha3biBaTb noAIOCOM.

T1pH JJ.BH)KeHHH ¢Hrypbr BeJIH'!HHbixA, YA u cp 6yJJ.yT H3MeHHTbCH. lJ.TOOhl 3HaTb 3aKOH )l.BHtKeHIUI, T. e. DOJ!O)KeHHe <\lHrypbi B DJ!OCKOCTU

127

YpasHeHHH (50), orrpe,n:eJIHIOill.He saKoH rrpoucxo,n:mn;ero L\BH>KeHHH, H33hiB3lOTCH ypaeHeHUH.MU 06Ua!CeHUH nAOCKOU rpucypbl B ee ITJIOCKOCTII. 0HH )Ke HBJIHIOTCH ypa6HeHUHJvtU nAOCKonapaA/leAbH020 06UJ/CeHUfl meepOOcJ meAa.

DepBb!e L(Ba H3 ypaBHeHlJii: (50) orrpe,n:eJIHIOT TO .lJ:Bll)KeH!Ie, KOTOpoe

0CH06Hbl.MU KUHe.MamutteCKU.MU xapaKmepucmUKa.MU paCCMaTpHBaeMOrO .ll:BH)KCHHH HBJIHIOTCH CKOpOCTb H ycKoperme rrocryrrareJibHOrO

.lJ:B~)KeHHH, paBHbie CKOpOCTH H ycrwpeHHIO ITOJIIOCa fvnocr=VA, a:0 CT= =aA), a raKme yrJioBaH cKopocrb ro H yrJioBoe ycKopemre e sparu:.a- reJibHOro .lJ:BH)KCHIIH BOKpyr ITOJIIOCa. 3Ha'!eHI1H3THX xapaKrepHCTHK B JIIOOOH MOMeHT BpeMeHl! t MO)KHO HaHn!, BOCITOJlb30B3BiliHCb ypaBHeHHHMH (50).

DpH usyqeHIIli ,JJ,BlliKeHHH MO>KHO B KatrecrBe ITOJIIOCa BblOHparb JIIOoyiO TOIIKY qmrypbi. PaccMOTpHM, qro ITO.JJyqllTCH, ecJIH BMecro A Bbl6parb B KaqecrBe ITOJIIOCa KaKyiO-HHDY.lJ:b ,n:pyry10 TO'-IKY C H orrpe,n:e- JIS'ITbITOJIO)KeiiHe cpurypbr orpesKOM CD, o6pasyiOIIJ.HM c OCbiO Ox yroJI cp1 (puc. 143). XapaKrepHCTHKII rrocrynareJibHOH qacrH .lJ:BH)KeHHH rrpu 3TOM H3MeHHTCH, TaK KaK B o6ru;eM cJiytrae Vc=FVA II ac=FaA (HHatre .lJ:BH-

CJie,n:osareJibHO, 6paU{ame,lbHW1 1WCtnb aau:J/CeHUH om 6bt6opa noAIOCa He saaucum.

* CooTBeTCTBeHHo rrJiocKonapaJI,'lemo,Hoe .QBH)KeHHe TBep.Qoro TeJia MO)KHO pacCMarpHBaTb KaK c.ilaraJOm.eecH H3 nocTynareJibHoro ,1\BH)KeHJHI BMecre c noJIJOCOM A H Bpam.aTe.'lbHOfOBOKpyr OCH, nepneH.QHKYJillpHOH llJlOCKOCTH II (eM. pHC. 141) H npoxo- )l;lllll.eH '1epe3nomoc A .

128

§53*. OflPE,nEJIEHHE TPAEKTOPHA TOliEK OJIOCKOA $HfYPbl

DepeHiJ.eM Terrepb K ll3yqeHHIO iJ.BIDKeHHH OTiJ.e.llbHbiX T04eK ITJIOCKOH qmrypbl, T. e. K OTb!CKaHHIO TpaeKTOpHH, CKOpOcTeH H ycKOpeHHH 3THX TotreK. Ha4HeM c orrpeAeJieHHH rpaeKropuii.

PaccMorpHM TOtrKy M rrJiocKoii qmryphr, noJIO)KeHue Koropoii orrpeAe.rHrercH paccTOHHHeM b=AM or noJIIOca A H yrJIOM BAM =ex. (pnc. 144). EcJIH )l.BHllieHIIe 3a,IJ,aHo ypaBHeHHHMH (50), ro KOOp)J.HHaTbi x H y T04KH M B OCHX Oxy 6y,nyr:

riJ.e xA, YA, cp- H3BeCTHbie no ypaBHeHHHM (50) ¢YHKUHH speMeHH t. PaBeHcrBa (51), onpe)l.eJIHIOU~He 3aKoH L\BHllieHHH T04KH M B rrJioc-

Kocru Oxy, )l.3IOT OL\HOBpeMeHHo ypaBHem1e rpaeKrop HH .3TOH TotrKH B rrapaMerputrecKOM BHL(e. Oob!'!Hoe ypaBHeHue rpaeKropmr rroJiytruM, HCKJI!04HB 113 CHCTeMbi (51) BpeMH t.

EcJIH paccMaTpusaercH L\BHllieHue 3BeHa KaKoro-HHDYL\h MexaHH3Ma, TO L(JIH onpeL(eJieHHH rpaeKTOpmr Jl!OOOH T04KH 3TOrO 3BeHa L(OCTaTO'IHO Bbipa3HTb ee KOOpiJ.HHaTbi trepe3 KaKOli-HHDYL\b rraparv!eTp, orrpeiJ.e.IIHIOIII,HH ITOJlO)KeHHe MeXaHH3Ma, a 33TeM HCKJII04HTb 3TOT napaMeTp. YpaBHeHH.H )l.BJ1)KeHu.n (50) nprr 3TOM 3HaTb He o6H3areJibHO.

PRe. 144 PRe. 145

3a}l.a'la 58. TioJJ3YHbl A R B, K KOTOpb!M npHKpenJJneTCR JlRRenKa 9JlJJRncorpa!pa, nepeMelll.a!OTCR no B3aRMHO nepneH,!(HKYJlRpHb!\1 HanpaBJJRIOIIl.RM (pnc. 145). PaccTOHHHe AB=l. Onpe,!(eJJRTb TpaeKTopmo TO'IKR M mmeilKR.

P e III e H 11 e. Bsas sa rromoc TO'IKYA, 6y.QeM onpe.QeJJHTb noJJOMeHRe TO'IKR M Ha mmefiKe oTpesKOM AM= b. OoJ!O}!{eHRe ca~10f1 JlRHeHKH 3all.aeTcH yrJJoM <p. Tor,!l,a

,!(JlH Koop,!(RilaT x R y TO'IKHM noJJy'IRM:x=(b-l) cos <p, y=b sin <p. HcKJJ!OlJaR napaMeTp <p, !IaXO)~RM, 4TO TpaeKTOpReH TO'IKR(H<~3aBRCRMO OT 3aKOHa ,!(BHJKeHR5! JlRHeHKR)

6y,!(eT 3JlJ!RTIC

x2/(b-[J2+y2fb2= 1

C TIOJlyOCHMR a= [b-ll R b R C UeHTpOM B TOlJKe 0.

MeHH5! C TIOMOlil.biO COOTBeTCTBy!Olli.RX BHHTOB paCCTOHHR5! [ R b, MOJKHO Bbi'lepTRTb KapaHJ(aiii0\1 M 3J1JJRnc c Jli06biMR 3aiJ.aHHhiMH noJJyocRMR, He npesocxoJJ.HW.HMR pasMepos JJHHeiiKR. OTC!O,!(a a Ha3BaHRe MexaHH3Ma - 9/l/luncocparp.

§54. ORPE,IJ,EJIEHHE CJ(OPOCTEfl TOtJEI( RJIOCI(Ofl .HTYPbl

B § 52 obiJIO OTMe4eHo, 4TO )J:BRmeHHe rrJiocKoii qmryphr MO}KHO paccMaTpHBaTh KaK cJiararorn.eecH H3 noCTyrraTeJibHoro )J:BH.memm, npH

KOTopoM see T04KH qmryphr .U.BH}KyTca co cKopocTbiO vA nomoca A, 11 us Bparn.aTeJibHOrO )J:BH}KeHY!H BOKpyr 3TOf0 ITOJIIOca. f10Kax-<eM, 4TO CKO-

B caMOM .n:eJie, noJio}KeHHe JII06oii T04KH M qmryphl onpe.n:eJIHeTC.H no OTHOIIIeHHIO K OCHM 0xy pa.n:HyCOM-BeKTOpOM r t:_ +f' (puc. 146),

fAe rA - pa.n:uyc-BeKTOp flOJIIOca A' ? =AM - BeKTOp' orrpe.n:eJI.HIOlli.HM noJio}KeHHe TOtrKH M OTHOCHTeJibHO oceil Ax'y', nepeMemaromMxCH BMeCTe c rroJIIOCOM A nocTyrraTeJibHO (L\BHx-<eHue cp11ryphl no OTHoweHHIO K 3THM OC.HM rrpe)J:CTaBJI5!eT COOOH Bparn.eHHe BOKpyr flOJIIOca A). TorAa

-ctr drA ct?

VM=dt=dt+ctt•

B noJiyqeHHOM paseHCTBe seJIH4IIHa d~/dt vA ecTb cKopocTb BeJIH4HHa JKe pasHa Clmpocm v.MA• KOTOpyiO TOtiKa M

rroJiyqaeT npu rA =canst, T. e. OTHOCI!Te.'lbHOocei1 Ax'y', HJIH, HHatre rosopn, npu epawptuu tjJucypbt eoKpyc noA/Oca A. TarmM o6pa3oM, H3 npeiJ.biL\yruero paseHcTBa AeiicTBHTeJibHO c.rre)J:yeT, 4TO

(52)

T1pn 3TOM cKopocTb vMA, KOTopyro T04Ka M rroJiyqaeT npu sparueHHii cpurypbl BOKpyr ITOJIIOCa A, oy)J:eT (eM. §51):

r.n:e (!) - yrJIOBa.H CKOpOCTb qmrypbl.

TaKHM o6pa30M, c1wpocmb mo6ou mot~xu M nAocKou tjJuaypbt ceo-

.MemputieCKU CK/lGObt6aemCH U3 C1Wpocmu I'WIWU-Ht.t6yob apyzou nl04XU A'

Pnc. 146 Pnc. 147

npUHHmou sa noAIOC, u c1wpocmu, KOmopyw mottKa M noAytf.aem npa epaw,eHttU_ tjJucypbt BOKpyz amoco no.~wca.

CKOpOCTH VM HaXOA.HTCH flOCTpOeHHeM. COOTBeTCTBYIOill.ero napaJIJieJIOrpaMMa (puc. 147).

130

3a,n.a'la 59. Hal'ITHcKopocTh TOl!KH M o6o.r~a KOJieca, KaTllw:erocH no npliMOJIHHeiiHmly peJibCY 6e3 cK0.1h:lKeH!Ill (pHC, 148), eCJII{ CKOpOCTb UeHTpa C KOJieca paBRa vc. a yroJI DKM=ct.

P e III e H He. DpHHliB TO'lKYC, cKopoCTh KoTopoii H3BeCTHa, sa nomoc, Haii.r~e~l,

'IToVA1=Vc:+v,uc. r.r~e Vft1cj_CH H no ~Io)l;y.110 v111c=w·MC=wR (R- pa)l;Hyc Ko-

Jieca). 3nal!eHHe yrJioBoii cKopocTU w nafr)l;e\1 ns ycJIOBHll roro, lJTO TO'IKaK KoJieca He CKOJ!b3HT no peJihCy H, CJ!e)l;OBaTeJ!b!IO, B )l;3HIH>IH MO\IeHT BpeMel!H VK=O. C ,u;pyfOH cropoHhl, raK JKe KaK n l!Jill TOlJKH M, t7K=~+Vk-c. r.r~e vKc= w·KG= wR. TaK

KaK )];Jill TOlJKH K cKopocrH vKc n vc HanpaB.1eHhi B)l;OJ!h Ol\HOH npliMOi'!,To npH Vl(=O vKc=Vc, OTKy,u;a w=t'c R. B pe3)Jlhrare Haxo.u;HM, 'ITOvl\Ic=wR=vc.

6y.r~er npa 3TOM poM6o\l.

YroJI MeJK.!IY vc Hv,uc paBeH ~. TaK KaK cTopoHh!, o6pasyJOW:He aroT yroJI H yroJI B, ESaHMHO nepeneH,u;HKy.1HpHhl. B CBOJO o'lepe)l;hyroJI t\=2ct, KaK u.earpaJibHhlH yroJI, onnpaiOmal'lcllHa TY JKe ;ayry, 'ITOH BnJfcaHHhiH yroJI ct. Tor.r~a no CBOHCTBa~l poM6a

) r!lhl MeJK)l;y vc H 1!111 11 Me.-K::\Y VJ;c n VJI! To:lKe paBHhl a. OKOil'mTeJihHO, TaK KaK ,!(HaroHaJlH po"16a Bsa:nwo ne;,er.<eH;:(HKYJillpm>~, rroJJy'IHM

PacqeT, KaK BH,UH\1, oKa3hJBaercH .QocrarolJHO rpoM03.QKHM. B ,!(aJibHei:iiiieM 11hi TI03H3KOWI\ICH C ~1eTO,'J3~1H, ll03BOv1liJOW,m1ll peiiiaTb aH3.1J0f!{lJHh!e 33)1;3'111 ropa3,!(0 npow.e (eM. aa.r~a'ly 61 B §57).

TCJra). DpHHHMaB ToqKy A sa no.1!DC (puc. 149), rro.'IytraeMnocpopMyJie (52), trTO vn=vA+vnA· 0Tcrc;:,a, npoeraHpyH o6e '!UCTH paBeHCTBa Ha ocb, Harrp2s.1emryro no AB, a Y'IliThiBMI,qTo BeKTop VnA neprreH,D.HKyJinpeH AB, Haxo,JJ..H:\1

(54)

H TCOpe11!3 ,I\CKD3a!la. 3a:'IIeTJ::\I, IJTO 3TOT pe3yJihT3T HCeH H Jl3 qHCTO Q":3ll'ICCKTIXCOOupm;<eHl!Y!: eCJIH paEe:'CTBO(54) He 6y,leT BbliTOm!SlTbCH, TO rrpn ,n:BmEeH!Il! poccronHHe Men..:!.y TOtrKaMH A I! B ,n:ommro II3l.reHnTLC5l, 'ITOHC'I:03\10iKHO,TDK K3K 1 CJlO C'liiTUCTC5Ia6COJII01 :m TBCp,n:bil\1.

Oo:YTOMY panencmo (54) BbiiTOJIJT<TClCH ne TOJihKO rrpa DJIOCKOrrapaJIJIC,lLHO~r, HO II rrpll JII060M ,ll.BlDi<CHIIH TBep,D.OfO TeJia,