Fisica 10 Guía Movimiento Circular 2

 

FÄZNJH AÎJNDL   

NKZQNQ_JNÚK OA_JHQNVH FWH^ S@ÈJNAL O aujhjn aujhjnúk úk phrh phrh `h Jno Jn okjnh kjn h o` o` Qr Q r hghel hghel y o` o` A Ao oshrr l``l S or slkh` slkh`

BW AL AÎJNDL Aljokto5 Zhkarh Jmhdlrrl B_ÄH AO JLKQOKNAL Kµ 15 DLVNDNOKQL JNWJ_@HW Nkstrujjnlkos 8. @oh aotoknahdokto o` jlktoknal ao `h buäh 7. Hkh`njo jhah ukl ao `ls oeodp`ls :. Hp`nquo `ls prljosls ok `ls oeorjnjnls prlpuostls. 1. Wosuo`vh ok o` juhaorkl `hs hjtnvnahaos p`hktohahs. ?. Qldo fltl vortnjh` l osjhkoo `hs hjtnvnahaos aoshrrl``hahs. 6. Jlkvnorto `hs ndèbokos ok hrjmnvl SAF SAF   2. Okväo o` hrjmnvl SAF h` jlrrol o`ojtrúknjl5 fnsnjhshkarhjmhdlrrlCbdhn`.jld =. @h fojmh `ädnto ao oktrobh5 soptnodgro 88 ao 7373.  7373.  

oktrotokndnoktl ao `h bokto ok Ljjnaokto. @hs fornhs y oxplsnjnlkos dukanh`os ao` snb`l ]N] fuorlk ltrh nkf`uokjnh ok o` aoshrrl``l ao `h nkaustrnh ao `ls phrquos ao htrhjjnlkos. @ls tîrdnkls phrquo todètnjl y phrquo ao htrhjjnlkos slk h dokual snkúkndls. Znk odghrbl, uk phrquo todètnjl os jlksnaorhal uk ostn`l anstnktl ao phrquo ao htrhjjnlkos. _k phrquo todètnjl tnoko phnshensdl, oanfnjnls y htrhjjnlkos quo ostèk ghshahs ok ukl l dès todhs ospojäfnjls l mnstlrnhs. H poshr ao dujmls phrquos dès hktnbuls høhanokal anstrhjjnlkos y èrohs todètnjhs, jh`nfnjhkal o` phrquo jldl phrquo todètnjl, o` prndor phrquo jlkstrunal jlk `h nktokjnúk lrnbnkh` ao prldlvor uk todh ospojäfnjl, Zhkth J`hus @hka, ok Zhkth J`hus, Nkanhkh, kl hgrnú mhsth 8>16 Anskoy`hka Shri, ugnjhal ok  Hkhmond, Jh`nflrknh, jlkstrunal h`roaoalr ao` jlkjoptl ao okjhpsu`hr dõ`tnp`os phrquos todètnjls ok uk sl`l phrquo ao htrhjjnlkos os h dokual orrúkohdokto dokjnlkhal jldl o` prndor phrquo todètnjl, porl thk sl`l os o` phrquo quo mnzl `h naoh plpu`hr.

Srlpúsntls  

Wojlkljo `ls dlvndnoktls jnrju`hros. 

 

Hkh`nzh `hs vhrnhg`os ao` dlvndnoktl jnrju`hr.

 

Dlao`h dhtodètnjhdokto o` dlvndnoktl jnrju`hr.

Fhso Hfojtnvh

Ao hjuoral h `h `ojturh rosplkao ok tu juhaorkl `hs snbunoktos probukths, okvnhr su aoshrrl``l h` jlrrol o`ojtrúknjl. 8. 7. _k phrquo ao htrhjjnlkos l phrquo ao anvorsnlkos os uk brupl ao htrhjjnlkos ao oktrotokndnoktl, phrh dlkthrso y ltrls hjlktojndnoktls ok uk sntnl phrh o` ansfruto ao uk brhk kõdorl ao porslkhs. @ls phrquos ao htrhjjnlkos tnokok ukh ugnjhjnúk fneh, h` jlktrhrnl quo `hs fornhs y `ls jhrkhvh`os hdgu`hktos, y ostèk dès o`hglrhals quo `ls sndp`os phrquos ao jnuaha l phrquos nkfhktn`os, plr `l bokorh` lfrojok htrhjjnlkos aostnkhahs h htokaor ospojäfnjhdokto h jnortls brupls ao oaha, hsä jldl h`bukls quo ostèk anrnbnals h tlahs `hs oahaos. @ls phrquos todètnjls, uk tnpl ospojäfnjl ao phrquos ao htrhjjnlkos, klrdh`dokto ostèk dujml dès   nktrnkjhahdokto aoanjhals h jnortl todh l brupl ao todhs quo `ls phrquos ao htrhjjnlkos klrdh`os. @ls phrquos ao htrhjjnlkos ovl`ujnlkhrlk ao `hs fornhs ourlpohs y ehrankos ao rojrol quo fuorlk jrohals phrh o`

:.

Xuî o os s uk phrquo ao anvorsnlkos y júdl surbnú< Juè` os `h anforokjnh oktro phrquo phrquo ao anvorsnlkos y phrquo todètnjl< Osjrngh jnkjl htrhjjnlkos a ao o uk phrquo ao anvorsnlkos quo aosjrngok uk dlvndnoktl jnrju`hr.

Fhso Jlbkntnvh O` dlvndnoktl jnrju`hr os uk tnpl ao dlvndnoktl jurvn`äkol duy frojuokto ok `h khturh`ozh. _k lgeotl roh`nzh uk dlvndnoktl jnrju`hr juhkal `h trhyojtlrnh quo aosjrngo os ukh jnrjukforokjnh l ukh phrto ao osth. H anhrnl vodls quo h`bukls snstodhs l ansplsntnvls aosjrngok osto tnpl ao dlvndnoktls.

 

FÄZNJH AÎJNDL    Osthdls rlaohals plr lgeotls quo aosjrngok dlvndnoktls jnrju`hros5 uk ansjl jldphjtl aurhkto su roprlaujjnúk ok o` oqunpl ao dõsnjh, `hs dhkojn``hs ao uk ro`le l `hs ruoahs ao ukh dltljnj`oth slk oeodp`ls ao dlvndnoktls

Dlvndnoktl Jnrju`hr Os hquo` dlvndnoktl ok o` juh` `h trhyojtlrnh os ukh jnrjukforokjnh.

Qîrdnkls hsljnhals h` dlvndnoktl jnrju`hr

ӭ

* Aosp`hzhdnoktl Hkbu`hr ( ) O` aosp`hzhdnoktl hkbu`hr, ν, so aofnko jldl o` èkbu`l aotordnkhal plr `h `äkoh quo uko o` joktrl ao `h trhyojtlrnh jlk o` lgeotl.

jnrju`hros9 ao juorpls quoos soaojnr, duovok aosjrngnokal ukh jnrjukforokjnh.  H vojos o` dlvndnoktl jnrju`hr kl os os jldp`otl5 juhkal juhkal uk jljmo l juh`qunor ltrl vomäju`l tldh ukh jurvh roh`nzh uk dlvndnoktl jnrju`hr, hukquo kukjh bnrh `ls :63µ ao `h jnrjukforokjnh.

@h uknaha ao doanah ao` aosp`hzhdnoktl hkbu`hr ok o` Z.N. os o` rhanèk (rha). Ok ukh vuo`th jldp`oth o` aosp`hzhdnoktl hkbu`hr os ao

 7σ rhanhkos 

* Aosp`hzhdnoktl @nkoh` (Z) (Z) Os `h `lkbntua ao hrjl ao jnrjukforokjnh rojlrrnah plr uk juorpl jlk dlvndnoktl jnrju`hr. Zo oxprosh ok uknahaos ao `lkbntua5 jd, d.

 4 .  ao alkao5 alkao5 ӭ  os o` aosp`hzhdnoktl hkbu`hr y W roprosokth o` rhanl ao `h jnrjukforokjnh. @h oxpornokjnh kls anjo quo tlal hquo``l ah vuo`ths tnoko dlvndnoktl jnrju`hr. Zn `l quo bnrh ah snodpro o` dnsdl kõdorl ao vuo`ths plr sobukal, aojndls quo plsoo dlvndnoktl jnrju`hr uknflrdo (DJ_). Oeodp`ls ao jlshs quo so duovok jlk dlvndnoktl jnrju`hr uknflrdo mhy dujmls5 @h tnorrh os ukl ao o``ls. Znodpro ah ukh vuo`th slgro su oeo jhah 71 mlrhs. Qhdgnîk bnrh h`roaoalr ao` sl` y ah ukh vuo`th jhah :6? aähs. _k voktn`halr, uk `hvhalrh l `ls vnoels tljhansjls, `h ruoah ao uk hutl quo vnheh jlk vo`ljnaha jlksthkto, slk ltrls thktls oeodp`ls. Sorl kl aogodls l`vnahr quo thdgnîk mhy lgeotls quo bnrhk jlk dlvndnoktl jnrju`hr vhrnhal, yh soh hjo`orhal l aoshjo`orhal.



* Vo`ljnaha Hkbu`hr (  ) Os ukh dhbkntua vojtlrnh` quo nkanjh o` èkbu`l (ν) (ν)   quo rojlrro uk juorpl ok jhah uknaha ao tnodpl (t).

 4    Zo roprosokth doanhkto uk vojtlr porpokanju`hr h` p`hkl ao rlthjnúk9 su soktnal so aotordnkh hp`njhkal `h rob`h ao `h dhkl aorojmh l ao` shjhjlrjmls, os aojnr, sorè  pls ntn ntnvh vh ok s oktnal jlk jlktrhrn trhrn l h `hs dhkojn``hs ao` ro`le y kobhtnvh ok soktnal ao `hs dhkojn``hs.

Jlkjoptls Fukahdokth`os DLVNDNOKQL OK O@ S@HKL *Sornlal *Frojuokjnh *Aosp`hzhdnoktl hkbu`hr * Vo`ljnaha hkbu`hr *Hjo`orhjnúk

@h uknaha ao doanah ao `h vo`ljnaha hkbu`hr ok o` o ` Z.N. os o` rhanèk/ sobukal (rha/s). DLVNDNOKQL AO WLQHJNÚK

* Dlvndnoktl `nkoh` l rojtn`äkol

* Vo`ljnaha @nkoh` l Qhkbokjnh` ( V ) Os hquo``h dhbkntua vojtlrnh` juyl vh`lr kls nkanjh o` hrjl rojlrrnal plr jhah uknaha ao tnodpl.

hkbu`hr

Dlvndnoktl jnrju`hr

Ltrhs uknahaos ao `h vo`ljnaha hkbu`hr slk rha/dnk y rha/m

Dojèknjh Jo`osto

Wlthjnúk ao sú`nals

 4  

 

FÄZNJH AÎJNDL    Qhdgnîk so puoao hfnrdhr quo o` vh`lr ao osth vo`ljnaha dnao `h rhpnaoz jlk `h juh` so duovo o` juorpl h trhvîs ao `h jnrjukforokjnh.

@h ro`hjnúk oktro `h klrdh ao `h vo`ljnaha `nkoh` y `h vo`ljnaha hkbu`hr os5

4. 

Zo roprosokth doanhkto uk vojtlr juyh anrojjnúk os thkbokto h `h jnrjukforokjnh y su soktnal jlnkjnao jlk `h ao` dlvndnoktl.

Oeodp`l 7 O` sobukaorl ao uk ro`le dnao : jd. Shrh o` dlvndnoktl ao` oxtrodl ao` sobukaorl aotordnkhr5 h. @h vo`ljnaha hkbu`hr. g. @h vo`ljnaha `nkoh`. Zo oxprosh ok `hs uknahaos d/s9 jd/s, otj.

Zl`ujnúk  Zl`ujnúk  h. @h vo`ljnaha hkbu`hr os nbuh` phrh tlals `ls puktls ao` sobukaorl, so jh`ju`h toknokal ok juokth quo o` sobukaorl thrah 63s ok jldp`othr ukh vuo`th5

Oeodp`l 8 @h ansthkjnh doanh ao `h Qnorrh h` Zl` os 8,? x 8388  d. Zn so jlksnaorh quo `h trhyojtlrnh quo aosjrngo `h Qnorrh h`roaoalr ao` Zl` os jnrju`hr. Aotordnkhr5

 4  4 763 4 3,8 / / 

W

h. @h vo`ljnaha hkbu`hr ao `h Qnorrh h`roaoalr ao` Zl`. g. @h rhpnaoz ao `h Qnorrh h`roaoalr ao` Zl`.

g. @h vo`ljnaha `nkoh` so jh`ju`h plr doanl ao `h ojuhjnúk

  4.43,8    :   4 3 , :  

Zl`ujnúk Zl`ujnúk   Ahtl

Jhsls Ndplrthktos

W 4 8,? x 8388 d  d  

 H) Zn als l dès phrtäju`hs bnrhk ok ghso h uk dnsdl joktrl, sus vo`ljnahaos hkbu`hros sorèk nbuh`os.

h. Shrh aotordnkhr `h vo`ljnaha hkbu`hr, shgodls quo `h Qnorrh ah ukh vuo`th h`roaoalr ao` Zl` ok :6? aähs, os aojnr, ok :,7 x 83 2 sobukals. Slr thktl,  thktl,  

∗ /   4  4 :,77 4 7  8 83 3  83  @h vo`ljnaha hkbu`hr ao -2`h Qnorrh ok su dlvndnoktl h`roaoalr ao` Zl` os 7 x 83  rha/s.  rha/s.   g. Shrh aotordnkhr `h rhpnaoz, tokodls quo5

  4   G) Juhkal als ruoahs ostèk ok jlkthjtl l jlkojthahs plr ukh jlrroh, oktlkjos `ls vh`lros ao sus vo`ljnahaos thkbokjnh`os slk nbuh`os.

  4  

8,?  83 4 7> 11?7, ?7,11:: /   4  4 . 4 7 :,7  83 @h rhpnaoz ao `h Qnorrh os hprlxndh h 7,> x 83 831 d/s, `l juh` oqunvh`o h 831 133 id/m

Wo`hjnúk oktro `h vo`ljnaha thkbokjnh` y hkbu`hr Ok h`bukhs sntuhjnlkos, plr oeodp`l ok o` dlvndnoktl ao trhs`hjnúk ao `h Qnorrh, h vo`ljnahaos hkbu`hros duy poquoøhs `o puoaok jlrrosplkaor vo`ljnahaos `nkoh`os ao vh`lr brhkao, `l juh` kls nkanjh quo `h vo`ljnaha hkbu`hr kl snodpro aotordnkh `h vo`ljnaha `nkoh` jlk `h quo uk dúvn` aosjrngo uk dlvndnoktl jnrju`hr. Slr th` rhzúk, ok uk dlvndnoktl jnrju`hr, os jlkvoknokto jlkljor `ls vh`lros ao `hs als vo`ljnahaos, hkbu`hr y `nkoh`, y osthg`ojor ukh ro`hjnúk oktro osths.

*Hjo`orhjnúk Qhkbokjnh` (θ  ) Os hquo``h dhbkntua vojtlrnh` quo kls nkanjh juhktl jhdgnh `h vo`ljnaha thkbokjnh` ok jhah uknaha ao tnodpl. Zo roprosokth doanhkto uk vojtlr quo os thkbokto h `h trhyojtlrnh. Zus uknahaos ao doanah slk

 ,    , otj.

 

FÄZNJH AÎJNDL    Os aojnr5

∆4.  Ok `h snbunokto thg`h, so osthg`ojo ukh hkh`lbäh oktro o` dlvndnoktl rojtn`äkol uknflrdo y o` dlvndnoktl jnrju`hr uknflrdo.



Hjo`orhjnúk Hkbu`hr ( ) Os hquo``h dhbkntua vojtlrnh` quo kls nkanjh juhktl hudokth l ansdnkuyo `h vo`ljnaha hkbu`hr ok jhah uknaha ao tnodpl. Zo roprosokth doanhkto uk vojtlr porpokanju`hr h` p`hkl ao rlthjnúk.

Dlvndnoktl rojtn`äkol uknflrdo

Dlvndnoktl jnrju`hr uknflrdo

v 4 jlksthkto  

w 4 jlksthkto  

∆4.

∆4.

Sornlal y Frojuokjnh * Sorälal (Q) O` porälal so aofnko jldl o` tnodpl quo thrah uk lgeotl quo aosjrngo uk dlvndnoktl jnrju`hr, ok roh`nzhr ukh vuo`th jldp`oth l rovl`ujnúk. Zo aoklth jlk `h `otrh Q y so oxprosh ok uknahaos ao tnodpl5 sobukals (s).

    4 .  @h uknaha ao `h hjo`orhjnúk hkbu`hr ok o` snstodh nktorkhjnlkh` os

è   ()   

Ltrhs uknahaos5

 ,    ℋ

* Frojuokjnh (f) .@h frojuokjnh (f) os o` kõdorl ao vuo`ths l rovl`ujnlkos quo roh`nzh uk lgeotl jlk dlvndnoktl jnrju`hr ok jhah uknaha ao tnodpl.

    4 . 

 

Dlvndnoktl Jnrju`hr _knflrdo (D.J._.) Os hquo` dlvndnoktl ok o` juh` o` dúvn` rojlrro hrjls nbuh`os ok tnodpls nbuh`os. Ok osto jhsl `h vo`ljnaha hkbu`hr pordhkojo jlksthkto, hsä jldl o` vh`lr ao `h vo`ljnaha thkbokjnh`.

Qhdgnîk so `o puoao aofnknr jldl `h nkvorsh ao` porälal.

  4   Jldl thdgnîk o` pornlal os o` nkvorsl ao `h frojuokjnh

 4    Zo oxprosh ok rov/s quo puoao tokor anforoktos flrdhs ao klthjnúk jldl `hs quo so okjuoktrhk h jlktnkuhjnúk5

Juhkal `h klrdh ao `h vo`ljnaha `nkoh`, os aojnr, `h rhpnaoz ao uk lgeotl quo aosjrngo uk dlvndnoktl jnrju`hr pordhkojo jlksthkto h `l `hrbl ao `h trhyojtlrnh, so anjo quo anjml dlvndnoktl os jnrju`hr uknflrdo. Zlk oeodp`ls ao dlvndnoktl jnrju`hr uknflrdo o` dlvndnoktl ao5

 4..4∗ 44   Ltrhss uknahao Ltrh uknahaoss 5 Ok ljhsnlkos, `h frojuokjnh so oxprosh ok rovl`ujnlkos plr dnkutl

ú 4  4...   



    

 

`hs ph`oths hbuehs ao` `hs ao ro`le. uk voktn`halr. uk ansjl flklbrèfnjl.

O` aosp`hzhdnoktl hkbu`hr ok o` tnodpl t  os  os ∆ν ,

Oeodp`l : @hs hsphs ao uk voktn`halr roh`nzhk =3 rovl`ujnlkos ok 7,? sobukals.

 

FÄZNJH AÎJNDL    Aotordnkhr5 h. O` pornlal ao rovl`ujnúk g. @h frojuokjnh ao `hs hsphs  

Zl`ujnúk Zl`ujnúk   Zl`ujnúk Zl`ujnúk  

Ahtls

Ahtls

Kl. ao vuo`ths 4 =3 t 4 7,? sobukals

 f   4 2? rov/ s

h. Sornlal ao rovl`ujnúk

Jldl yh jlkljodls `h frojuokjnh ushdls `h fúrdu`h

,  4 ,     4 . 4  

 4 ,  4   4   / ,  

g. frojuokjnh ao `hs hsphs

  4  4     4 .  , 

 

Oeodp`l 1 _k shtî`nto bolosthjnlkhrnl snodpro so okjuoktrh slgro o` dnsdl puktl ao` Ojuhalr ao `h Qnorrh h ukh ansthkjnh ao :6.333 id slgro `h suporfnjno torrostro. Shrh uk shtî`nto bolosthjnlkhrnl, quo roh`nzh 8 vuo`th jhah 71 mlrhs aotordnkhr5 h. O` porälal ao rovl`ujnúk. g. @h frojuokjnh ao` shtî`nto.

Zl`ujnúk

Wo`hjnúk oktro `h vo`ljnaha hkbu`hr y o` porälal

 4    9 Alkao Q5 pornlal

4   f  5 frojuokjnh

Fuorzh Jokträpoth Ao hjuoral jlk o` prnkjnpnl ao nkorjnh, sn `h fuorzh koth quo hjtõh slgro uk juorpl os jorl, o` juorpl aosjrngo aosjrng o uk dlvndnoktl jlk rhpnaoz jlksthkto ok `äkoh rojth. Hsä, sn uk juorpl aosjrngo uk dlvndnoktl jnrju`hr, slgro î` aogo hjtuhr ukh fuorzh quo jhdgnh `h anrojjnúk ao` dlvndnoktl. @h fuorzh quo hjtõh slgro uk lgeotl phrh quo osto aosjrngh uk dlvndnoktl jnrju`hr so `o jlkljo jlk o` kldgro ao fuor  fuorzh zh jokträ jokträpoth poth. Osth fuorzh so jhrhjtornzh plrquo ostè anrnbnah mhjnh o` joktrl ao `h trhyojtlrnh ok `äkoh rojth.

Ahtls k4 Kl. ao vuo`ths 4 8 vuo`th t 4 71 m h. Qrhs`hahdls o` tnodpl h sobukals

 4       4       g. Hp`njhdls `h fúrdu`h phrh mh``hr o` pornlal

 4    4       4 .   g. Shrh aotordnkhr `h frojuokjnh tokodls quo5

 4 , ∗  ,      4 ,     4  4    Oeodp`l ? _k ansjl quo bnrh jlk frojuokjnh ao 2? rov/s, jh`ju`hr o` pornlal ao rovl`ujnúk

 so roprosokth ok anrojjnúk O` vojtlr fuorzh jokträpoth F jj   so rhanh` mhjnh o` joktrl ao `h trhyojtlrnh y os porpokanju`hr h` vojtlr vo`ljnaha. Ok o` dlvndnoktl jnrju`hr uknflrdo hukquo `h klrdh ao `h vo`ljnaha (rhpnaoz) pordhkojo jlksthkto, su anrojjnúk jhdgnh, ao `l juh` so aoaujo quo oxporndokth ukh hjo`orhjnúk ok `h dnsdh anrojjnúk ao `h fuorzh jokträpoth, aokldnkhah hjo`orhjnúk jokträpoth, h jj ,  so jh`ju`h jlk `h oxprosnúk5  

   4    Alkao v, roprosokth `h vo`ljnaha ao` lgeotl y W, o` rhanl ao `h jnrjukforokjnh quo rojlrro.

 

FÄZNJH AÎJNDL    Juhkal uk lgeotl aosjrngo uk dlvndnoktl jnrju`hr uknflrdo su rhpnaoz pordhkojo jlksthkto9 snk odghrbl, su vo`ljnaha jhdgnh ao anrojjnúk,

Slr thktl, sn ok o` nksthkto t 4 3, @h vo`ljnaha hkbu`hr ao` lgeotl os w 3   y uk nksthkto plstornlr t `h vo`ljnaha hkbu`hr 3  y os w, `h hjo`orhjnúk hkbu`hr θ so oxprosh jldl5

 4     @h hjo`orhjnúk hkbu`hr θ, ok o` snstodh Z.N., so oxprosh ok uknahaos ao rha / s 7.

Ao hjuoral jlk `h sobukah `oy ao Kowtlk, phrh uk juorpl ao dhsh d, quo bnrh jlk rhpnaoz v y aosjrngo ukh jnrjukforokjnh ao rhanl r, `h fuorzh jokträpoth, F jj  so oxprosh jldl5 

 4  . 

Qoknokal ok juokth quo5  

Lgtokodls5



 4 

Ok `h snbunokto thg`h so osthg`ojo ukh hkh`lbäh oktro o` dlvndnoktl rojtn`äkol uknflrdodokto vhrnhal y o` dlvndnoktl jnrju`hr uknflrdodokto vhrnhal. Dlvndnoktl rojtn`äkol uknflrdodokto vhrnhal

 4  +.  .    ∆ 4 .+ . 

Dlvndnoktl jnrju`hr uknflrdodokto vhrnhal   

 4  +.  ∆ 4 .+ ..  

_shr5 (+) ok `h hjo`orhjnúk sn o` dlvndnoktl os hjo`orhal (-) ok `h hjo`orhjnúk sn o` dlvndnoktl os aoshjo`orhal

 

Wo`hjnúk oktro `h hjo`orhjnúk thkbokjnh` y `h hjo`orhjnúk hkbu`hr  

 4 .  Oeodp`l 6 _kh pnoarh ao :ib bnrh ok uk järju`l jlk rhanl ao ? d. Zn `h vo`ljnaha jlksthkto os ao = d/s, h. ¼juè` os `h hjo`orhjnúk jokträpoth< g. ¼juè` os `h fuorzh jokträpoth<

Zl`ujnúk Ahtls d 4 : ib 9 v 4 = d/s 9 W 4 ? d h.

  4  4 / /   4 87,= /

g.

 4. 4 :   87 87,=,= 7 4 :=,1 :=,1  

Dlvndnoktl Jnrju`hr _knflrdodokto Hjo`orhal (D.J._.H.) _k juorpl aosjrngo uk dlvndnoktl jnrju`hr uknflrdodokto vhrnhal juhkal `h hjo`orhjnúk hkbu`hr os jlksthkto, hsä jldl o` vh`lr ao `h hjo`orhjnúk thkbokjnh`.

Oeodp`l 2 _k ansjl quo bnrh jlk frojuokjnh ao 1? r.p.d., so aotnoko aospuîs ao ? s. Jh`ju`hr su hjo`orhjnúk hkbu`hr.

Zl`ujnúk Oxtrhodls `ls ahtls ao` okukjnhal y trhksflrdhdls `h frojuokjnh ao r.p.d h r.p.s l mortz Ahtls f 4 1? r.p.d. 4

    4   4 3,22??  ∗   1?     

t 4 ? s  Jh`ju`hdls `h vo`ljnaha hkbu`hr nknjnh`5

 4 7 7 4 7   3,2? 2 ? ∗ 4 1,2288 / /  Jldl `h vo`ljnaha hkbu`hr fnkh` os 3 (aognal h quo o` ansjl so aotnoko), tokodls quo5

8 / / 4 3,>1 /   4    4 3  1,228 ? O` snbkl kobhtnvl kls nkanjh quo o` ansjl ostè aoshjo`orhkal.

Fhso Oxprosnvh Wosl`vor ok su juhaorkl o` snbunokto th``or, toknokal ok juokth `ls oeodp`ls ahals. Okvnhr o` aoshrrl``l ok hrjmnvl SAF h` jlrrol  jlrrol fnsnjhshkarhjmhdlrrlCbdhn`.jld Wojuorao naoktnfnjhrso jlk su kldgro, hpo``nal y brhal.

 

FÄZNJH AÎJNDL   

QH@@OW VOWNFNJH JLKJOSQLZ

8. Jldp`oth o` snbunokto juharl Aofnknjnúk Fúrdu`h

2. @hs hsphs ao uk dl`nkl ao vnoktl tnokok ukh `lkbntua ao :,7 d. Zn uk puktl ok o` glrao ao ukh ao `hs hsphs so duovo h 8? d/s5 h. ¼juèkths vuo`ths roh`nzh o` hsph ok uk sobukal<  g. ¼juè` su vo`ljnaha vo`ljnaha hkbu`hr< hkbu`hr< j. ¼quî tnodpl odp`oh o` hsph ok ahr ukh vuo`th<

Aosp`hzhdnoktl hkbu`hr

=. _k phtnkhalr rojlrro ukh pnsth jnrju`hr ao ?3d ao

Aosp`hzhdnoktl `nkoh` Vo`ljnaha hkbu`hr Vo`ljnaha `nkoh` Hjo`orhjnúk Hjo`orhj núk hkbu`hr Hjo`orhjnúk `nkoh` Frojuokjnh Sornlal Hjo`orhjnúk jokträpoth Fuorzh jokträpoth Dlvndnoktl jnrju`hr uknflrdo Dlvndnoktl jnrju`hr uknflrdodokto hjo`orhal

Whanl, oxporndokthkal hjo`orhjnúk jokträpoth aoukh 6,?7 d/s 7. h. ¼Juè` os su vo`ljnaha `nkoh`<  g. ¼Juèktl ¼Juèktl tnodpl thrah ok ahr ukh vuo`th< j. ¼Juè` os su vo`ljnaha hkbu`hr< a. ¼Xuî fuorzh ao frnjjnúk oxporndokth o` phtnkhalr sn tnoko ukh dhsh ao ?7 ib<

SWLG@ODHZ GÈZNJLZ

7. _k jhrrl ao eubuoto ah vuo`ths ok ukh pnsth jnrju`hr ao 1? jd ao rhanl. Zn odp`oh ? s ok roh`nzhr 8 vuo`th, aotordnkh5 h. Sorälal y frojuokjnh ao su dlvndnoktl.  g. Ansthkjnh Ansthkjnh quo rojlrro rojlrro h` ahr ahr ukh vuo`th. vuo`th. j. Vo`ljnaha `nkoh`. a. Vo`ljnaha hkbu`hr. o. Hjo`orhjnúk jokträpoth. :. _k ansjl bnrh h rhzúk ao 7.?33 r.p.d. Aotordnkh5 h. Sorälal ao` dlvndnoktl.  g. Vo`ljnaha Vo`ljnaha hkbu`hr. hkbu`hr. 1. _k juorpl so duovo uknflrdodokto ok ukh trhyojtlrnh jnrju`hr ao 73 jd ao rhanl, roh`nzhkal 83 vuo`ths ok = sobukals. h. ¼Juè` os o` porälal y `h frojuokjnh ao` dlvndnoktl ao` juorpl<  g. ¼H quî quî vo`ljnaha vo`ljnaha hkbu`hr hkbu`hr so duovo< duovo< ?. _kh pl`oh ao 87 jd ao anèdotrl bnrh jlk uk porälal ao 3,7? s. h. ¼Juè` os su vo`ljnaha hkbu`hr<  g. ¼Jlk quî vo`ljnaha vo`ljnaha `nkoh` `nkoh` so duovo duovo uk puktl ok ok o`  glrao ao `h `h pl`oh< j. ¼Xuî hjo`orhjnúk jokträpoth oxporndokth uk puktl ok o` glrao ao `h pl`oh< 6. @h ``hkth ao ukh gnjnj`oth tnoko uk anèdotrl ao ?3 jd, sn roh`nzh 83 vuo`ths ok 1 sobukals. ¼Juè` os su porälal, frojuokjnh y vo`ljnaha hkbu`hr< ¼Xuî rhpnaoz `nkoh` oxporndokth uk puktl ok o` glrao ao `h ``hkth<

>. Ok uk phrquo ao anvorsnlkos, `h ruoah ao Jmnjhbl tnoko uk anèdotrl ao 6 d, y bnrh h rhzúk ao 3,6 rovl`ujnlkos  plr sobukal. h. ¼Juè` os `h vo`ljnaha hkbu`hr ao `h ruoah<  g. ¼Xuî hjo`orhjnúk hjo`orhjnúk jokträp jokträpoth oth oxporndokth oxporndokth ukh ukh porslkh dlkthah ok `h ruoah< 83. _k hutldúvn`, juyhs ruoahs tnokok uk anèdotrl ao =3 jd, phrto ao` roplsl y hjo`orh uknflrdodokto mhsth h`jhkzhr 27 id/m ok 73 s. ¼Juèkths vuo`ths h`jhkzh h ahr jhah ruoah aurhkto oso tnodpl< 88. @h mî`njo ao uk hvnúk phrto ao` roplsl y aospuîs ao = s bnrh h rhzúk ao 73.333 r.p.d. h. ¼Xuî vo`ljnaha hkbu`hr h`jhkzh h` jhgl ao `ls = s<  g. ¼Juè` os su hjo`orhjnú hjo`orhjnúk k hkbu`hr< j. ¼Juèkths vuo`ths roh`nzh ok `ls = sobukals< 87. O` ansjl ao ukh pu`nalrh bnrh h rhzúk ao 8.=33 r.p.d. Juhkal so hphbh roh`nzh 873 vuo`ths mhsth aotokorso. h. ¼Juè` os su aosp`hzhdnoktl hkbu`hr hktos ao aotokorso<  g. ¼Juè` os su hjo`orhjnú hjo`orhjnúk k hkbu`hr< j. ¼Juèktl tnodpl thrah ok aotokorso< 8:. @h rhpnaoz lrgnth` ao `h @ukh os ao hprlxndhahdokto 8,3: id/s y `h ansthkjnh prldoanl ao `h Qnorrh h `h @ukh os :,=1 x 83= d. Zuplknokal quo `h @ukh tnoko uk dlvndnoktl jnrju`hr uknflrdo5 h. ¼juè` os su porälal ao rlthjnúk<  g. ¼juè` os su hjo`orhjnú hjo`orhjnúk k jokträpo jokträpoth< th<