Avance de Angulo de Friccion

December 23, 2022 | Author: Anonymous | Category: N/A
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AIBGOMBG CI RYIJDR MM

YOMVI^RMCGC LDRI BG^JDR AG^MGSIEYM

GOEYJD CI F^MBBMDO MOSI^OG 

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SG^WYM FJD^IR UMJJMGOR



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AIBGOMBG CI RYIJDR MM

YOMVI^RMCGC LDRI BG^JDR AG^MGSIEYM

MOCMBI M.

MOS^DCYBBMDO

MM MM..

GOEYJD EYJD CI F^M F^MBB BBMMDO MMO OSI^OG I^OG

MM MMM. M.

AGEO AGEOMS MSYC YC CI CIJJ GOE GOEYJ YJD D CI CI F^M F^MBB BBMD MDO O

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AISD AISDCD CDRR PG PG^G ^G JG CISI^ CISI^AM AMOG OGBM BMDO DO CI CIJJ GOEY GOEYJD JD CI F^MBB F^MBBMD MDO O MOSI^OG

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PG PG^G ^GAI AIS^ S^DR DR MMOF OFJY JY]I ]IOS OSIR IR IO JJG G CI CISI SI^A ^AMO MOGB GBMD MDO O CIJ G GOE OEYJ YJD D CI F^MBBMDO MOSI^OG

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GOEYJD EYJD CI ^IP ^IPDR DRD D CIJ RYI RYIJD

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IORG]D CI CI BD BD^SI CM CM^IBSD

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IL ILIA IAPJ PJD DC CII IORG IORG]D ]D CI BD BD^S ^SII C CM^ M^IB IBSD SD

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ILIA IL IAPJ PJD D P^ÇB P^ÇBSM SMBD BD CIJ CIJ ÇOE ÇOEYJ YJD D CI F^MB F^MBBM BMÒO ÒO

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BDOBJYRMDO

XM.

NMNJMDE^GFMG

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AIBGOMBG CI RYIJDR MM

YOMVI^RMCGC LDRI BG^JDR AG^MGSIEYM

MOS^DCYBBMDO Prdnjiags ci istgnmjmcgc gsdbmgcds g eidaibçombgs prdcubio tmiapds od  prdcubtmvds y bdstds gcmbmdogjis. Jds adcijds eidaibçombgs gyucgo g amtmegr y priviomr isds prdnjiags, pird riqumirio ci cgtds ci prdpmicgcis aibçombgs qui cinio sir ixgbtgs y pribmsgs. Gbtugjaioti, ij çoeujd ci frmbbm mbbmòo òo ‒ uog uog ci pr prdp dpmmicgc icgcis is ‒ is uod uod ci cijjds br bráátmbd tmbdss bdo bdo agyd agydr  r  mobirtmcuanri. Ij çoeujd ci frmbbmòo motirog (gfm), is dntiomcd prmobmpgjaioti g pgrtmr ci  pruings trmgxmgjis rigjmzgcgs g auistrgs bmjáocrmbgs ribdjibtgcgs io jg zdog ci motirís. Cmbhgs pruings ci jgndrgtdrmd prdpdrbmdogo puotds ci cgtds cmsbritds io tdcg jg sibbmòo cij pdzd eioirgocd bdosmed ergocis bdstds y  prdnjiags io jg riprisiotgtmvmcgc ci jg rdbg rijgbmdogcds bdo jg ixtrgbbmòo y trgtgamiotd ci jg amsag. Bdad sdjubmòo g isti prdnjiag cmfiriotis gutdris pjgotigo aítdcds pgrg jg aicmbmòo ci, bdad vgjdris cij GFM bdostgotis pgrg griogs y grbmjjgs.

2

 

AIBGOMBG CI RYIJDR MM

YOMVI^RMCGC LDRI BG^JDR AG^MGSIEYM

GOEYJD CI F^MBBMDO MOSI^OG Ij çoeujd ci frmbbmòo motirog, si iobuiotrg istribhgaioti rijgbmdogcd bdo jg frmbbmòo motiro mot irogg ci cijj agt agtir irmgj mgj,, cif cifmom momcg cg bdad bdad jg risms rismstio tiobmg bmg gj cisjmz cisjmzga gamio miotd td bg bgusg usgcd cd pdr jg frmbbmòo qui hgy iotri jg supirfmbmi ci bdotgbtd ci jgs pgrtábujgs y su ciosmcgc. Jg frmbbmòo motirog istç cifmomcg pdr ij çoeujd buyg tgoeioti is jg rijgbmòo iotri jg fuirzg qui rismsti rismsti gj cisjmzgamiotd f” f”b, b, g jd jgred ci uo pjgod. Iobdot Iobd otrg rgoc ocdd ij çoeu çoeujd jd ci frmb frmbbm bmòo òo moti motiro rogg y ij bd bdif ifmb mbmi miot otii ci frmb frmbbm bmòo òo mo moti tiro rogg rijgbmdogcds rijgbmdogc ds ci jg smeumioti fdrag.

tgo ϙ

1

 F   O 

Brmtirmd ci adhr-Bdujdan io ij pjgod ci jds isfuirzds isfuirzds ci bdrti y odragj.}

tgo ϙ

1 F   O  3

 

AIBGOMBG CI RYIJDR MM

YOMVI^RMCGC LDRI BG^JDR AG^MGSIEYM

AGEOMSYC CIJ GOEYJD CI F^MBBMDO Ri rifmiri gj çoeujd ci rismstiobmg gj rdzgamiotd, cipioci cij istgcd gbtugj ci jg tiosmòo io ij buirpd rdbdsd. • Eiderçfmbgaioti si riprisiotg bdo uo çoeujd ci jg tgoeioti io jds bárbujds ci Adhr  bdostrumcds pdr ij üjtmad istgcd ci tiosmòo. • Ij vgjdr ci φ cibribi ergcugjaio ergcugjaioti ti bdo ij guaiotd cij vgjdr ci jg tiosmòo ς. • Rm si ixbici ij ríemaio ríemaio istçtmbd (mombmd ci jg cifdragbmòo cifdragbmòo pjçstmbg) • φ 1 0 y ij vgjdr cij çoeujd ci frmbbmòo frmbbmòo motirog si ciodtg bdo ij vgjdr φ Gsdbmgcd bdo vgjdr ci tiosmòo ς 1 0.

AISDCDR PG^G JG CISI^AMOGBMDMO CIJ GOEYJD CI F^MBBMDO MOSI^OG Jg ci citir tiramo amogbm gbmòo òo ci cijj çoeuj çoeujdd ci frmbb frmbbmòo mòo mot motiro irogg si ng ngsg sg prmobm prmobmpg pgjai jaioti oti ci cgt cgtds ds dntiomcds ci iosgyds ci jgndrgtdrmd bdodbmcds bdad iosgyds trmgxmgjis, io jds qui si bgrgbtirmzg ij bdapdrtgamiotd tiosmòo-cifdragbmòo ci jg rdbg, piramtmiocd gsá qui si ilibuti uoijistucmd citgjjgcd quipdr puicio jg istgnmjmcgc jg amsag io pdzd smo iangredciodjgsisprdpmicgcis jg üombg fdrag jg bugjgfibtgr si puici citiramogr ci GFM. 9

 

AIBGOMBG CI RYIJDR MM

YOMVI^RMCGC LDRI BG^JDR AG^MGSIEYM

PG^GAIS^DR MOFJY]IOSIR MOFJY]IOSIR IO JG CISI^AMOGBMDO CISI^AMOGBMDO CIJ GOEYJD CI F^MBBMDO MOSI^OG

Ij çoeujd ci frmbbmòo motirog cipioci prmobmpgjaioti ci tris bgrgbtirástmbgs ci jg rdbg bdad jd sdo; cisjmzgamiotd iotri jds ergodsuog (qui eioirg frmbbmòo cinmcd (qui g jg bgpgbmcgc g jgsIj pgrtábujgs ci jg rdbg ci cisjmzgrsi sdnri dtrgs), ij rdcgamiotd 6

 

AIBGOMBG CI RYIJDR MM

YOMVI^RMCGC LDRI BG^JDR AG^MGSIEYM

sdo bgusgotis ci jg eioirgbmòo ci jg frmbbmòo cinmcd g rdtgbmòo ci jds ergods io jg istrubturg ci jg rdbg) tiomiocd mobmciobmg cmribtg io jg istmagbmòo.

GOEYJD CI ^IPD\D CI JDR RYIJDR

Iosgyd ci Bdrti Cmribtd

Ij iosgyd ci bdrti cmribtd bdosmsti io hgbir cisjmzgr uog pdrbmòo ci suijd, rispibtd g dtrg g jd jgred ci uo pjgod pjgod ci fgjjg pricitiramogcd pricitiramogcd aicmgoti jg gbbmòo ci uo uogg fuirzg ci bdrti bdr ti hdr hdrmzd mzdotg otgjj mob mobria riaiot iotgcg gcg,, ami amiotr otrgs gs si gpj gpjmbg mbg uog bgreg bgreg odragj odragj gj pjgod pjgod ci cijj advmamiotd.

5

 

AIBGOMBG CI RYIJDR MM

YOMVI^RMCGC LDRI BG^JDR AG^MGSIEYM

g) Prmob Prmobmpm mpmd d cij iosg iosgyd yd ci bdrt bdrtii cmribtd cmribtd7 y puici riprisiotgrsi pdr jg ibugbmòo smeumioti< tf 1

b + ς o * te Φ

Fme. 9.>7 ^ijgbmòo iotri jds jds isfuirzds ci bdrti açxmad açxmad y jds isfuirzds isfuirzds odragjis. odragjis. Jg jáoig ribtg dntiomcg si bdodbi bdad Iovdjvioti ci fgjjg.

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AIBGOMBG CI RYIJDR MM

YOMVI^RMCGC LDRI BG^JDR AG^MGSIEYM

IORG]D CI BD^SI CM^IBSD    OD^AG GRSA C2080-5>   YNMBGBMÒO <

 

RDJMBMSGOSI < FIBHG < P^DFYOCMCGC <

 

 

SD^GSG

E^YPD-SD^GSG >0 CI LYOMD CIJ >076  

O ¼ Bgjmbgtg

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7

 

IRFYI^\D OD^AGJ ( Ke/ba> ) SGOEIOBMGJ ch (aa)

0.62

7.>2

>.32

3.83

IRFYI^\D CI BD^SI ( Ke/ba> ) 0.00 0.>9 0.90 0.59 7.00 7.>9 7.90 7.59 >.00 >.>9 >.90 >.59 2.00 2.>9 2.90 2.59 3.00

0.000 0.2>9 0.300 0.375 0.3>0 0.3>= 0.32> 0.329 0.329 0.328 0.32= 0.325 0.32= 0.330 0.337 0.33> 0.33=

0.000 0.820 0.=90 7.090 7.720 7.7=9 7.>90 7.209 7.260 7.330 7.3=0 7.998 7.670 7.660 7.506 7.599 7.800

3.>9 3.90 3.59 9.00 9.>9 9.90 9.59 6.00 6.>9 6.90 6.59      

0.392 0.367 0.368 0.352 0.389 0.3=9 0.3== 0.908 0.979 0.9>0 0.929 0.999 0.963 0.958

7.899 7.8=0 7.=>9 7.=60 7.=80 >.030 >.7>0 >.782 >.>3> >.209 >.263 >.3>6 >.350 >.9>9

70

 

AIBGOMBG CI RYIJDR MM

YOMVI^RMCGC LDRI BG^JDR AG^MGSIEYM

BY^VG IRFYI^\D - CIFD^AGBMD CIFD^AGBMDO  O  >.9

   > >.0   a   b    /   e    K    I    S 7.9    O    G    S    ^    D    B 7.0    D    \    ^    I    Y    F 0.9    R    I

0.0 0.0

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CIRPJG\GAMIOSD CIRP JG\GAMIOSD HD^M\DOSGJ (aa)

IORG]D CI BD^SI CM^IBSD  OD^AG GRSA C2080-5> YNMBGBMÒO < RDJMBMSGOSI < FIBHG < P^DFYOCMCGC<

 

SD^GSG  

E^YPD-SD^GSG

 

>0 CI LYOMD CIJ >076  

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O ¼ Bgjmbgtg     BG^GBSI^MRSMBGR BG^GBSI^MRSMBG R CI JG AYIRS^G  

7

BG^GBSI^MRSMBGR CIJ IWYMPD

JGCD

9,=9 ba

G^IG

29,30 ba>

 GJSY^G

>,09 ba

VDJYAIO

5>,98 ba2

  O¼ RI^MI RI^MI < 788 7889-> 9->-77 -7773 73

AD ADCI CIJD JD < IJ> IJ>6-> 6->773 773/07 /07

FGBSD^ CIJ GOMJJD CI BD^SI (C.g + n ) < g10,2==>=9= N10,6709297

GPJMBGBMDOIR CI BG^EG PIRD IO KE

 

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76

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PIRD CI JG RIAMBGLG RYPI^MD^ (Ke)

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PIRD CIJ PMRSDO CI BG^EG (Ke)

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IRFYI^\D OD^AGJ (Ke/ba>)

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IRFYI^\D SGOEIOBMGJ (Ke/ba>)

0.00

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VIJDBMCGC CI BG^EG (aa/amo)

BG^EG OD^AGJ (Ke/ba>)

77

 

AIBGOMBG CI RYIJDR MM

YOMVI^RMCGC LDRI BG^JDR AG^MGSIEYM

IOVDJVIOSI CI FGJJG 2.0    )    >   a   b    /   e    K    (    )    >   a   b    /   e    K    (    I    S    O    G    S    ^    D    B      D    \    ^    I    Y    F    R    I

>.9

f(x) 1 0.99 x ∞ 0.09

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IRFYI^\D OD^AGJ (Ke/ba>)

 GOEYJD CI F^MBBMDO ( Ø )

7>

>8.89

9. 9

 

AIBGOMBG CI RYIJDR MM

YOMVI^RMCGC LDRI BG^JDR AG^MGSIEYM

72

 

AIBGOMBG CI RYIJDR MM

YOMVI^RMCGC LDRI BG^JDR AG^MGSIEYM

Iliapjd prçbtbd

Pgrg uog grbmjjg odragjaioti bdosdjmcgcg, jds smeumiotis sdo jds risujtgcds ci uog pruing Srmgxmgj criogcg< Prismòo ci bdofogamiotd io jg bçagrg 1 77> kO/a> Isuirzd cisvmgcdr io gjjg 1 759 kO/a> g) Iobuio Iobuiotri tri ij çoeujd çoeujd ci rm rmbbmò bbmòo oϙ Rdjubmòo Pgrg uo suijd odragjaioti bdosdjmcgcd, jg ibugbmòo ci jg iovdjvioti ci gjjg is ' 

σf   1 1ς  tgo ϙ ( puistd qui b 1 0) Pgrg jg pruing Srmgxmgj, jds isuirzds iibvds prmobmpgjis agydr y aiodr io jg gjjg sdo< >

ς ' 71ς 71 ς 2 +( Γ ς c )f  177>+ 759 1>85 kO   // a ] ς ' 21ς 2 177> kO / a

>

g. Ij bmrbujd bmrbujd ci Adhr Adhr y jg iovdjv iovdjvioti ioti ci ci gjjg si si auistrgo auistrgo io io jg feurg feurg 5.76, ci ci cdoci cdoci dntioiads sioϙ1 D sioϙ1









ς  7∞ ς  2

1 >85 ∞77> 10.328 >85 + 77> ς  ∞ ς  7

2

ϙ 1>6 °

73

 GN 1´ ´ DG

 

AIBGOMBG CI RYIJDR MM

YOMVI^RMCGC LDRI BG^JDR AG^MGSIEYM

BDOBJYRMDOIR Ij ço çoeu eujd jd ci rdzg rdzgam amio iotd td moti motiro rodd d çoeu çoeujd jd ci frmb frmbbm bmòo òo is uog uog prdp prdpmi micg cgcc ci jds agtirmgjis ergoujgri ergoujgriss  ij bugj tmioi uog motirpritgbmòo fásmbg siobmjjg, gj istgr  rijgbmdogcd bdo ij çoeujd ci ripdsd d açxmad çoeujd pdsmnji pgrg jg piocmioti ci uo bdoluotd ci cmbhd agtirmgj ergoujgr. Io uo agtirmgj ergoujdsd bugjqumirg ij çoeujd ci ripdsd istç citiramogcd pdr jg frmbbmòo, jg bdhismòo y jg fdrag ci jgs  pgrtábujgs pird pird io uo agtirmgj smo bdhismòo y cdoc cdocii jgs pgrtábujg pgrtábujgss sdo auy piqui÷gs piqui÷gs io rijgbmòo gj tgag÷d cij bdoluotd ij çoeujd ci ripdsd bdmobmci bdo ij çoeujd ci rdzgamiotd motirod. Is is ispi pibm bmgj gjai aiot otii ma mapd pdrt rtgo goti ti io ai aibç bçom ombg bg ci suij suijds ds  pg pgrg rg ci citi tira ramo mogr gr tg tgot otdd jg bgpgbmcg bgpgbmcgcc pdrtgoti pdrtgoti bdad  bdad jg rismstiobmg gj cisjmzgamiotd ci uo tirriod griodsd.

79

 

AIBGOMBG CI RYIJDR MM

YOMVI^RMCGC LDRI BG^JDR AG^MGSIEYM

NMNJMDE^GFMG 

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