Primer Examen Parcial Mecanica Analitica 1 Temario B
February 24, 2023 | Author: Anonymous | Category: N/A
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EFMYC JC CTMKCN PM_EHMF P_HKC_ PM_EHMF KCEMNHEM MNMFHZHEM =. ELL_JHNMEHÕN JC KCEÍNHEM =,?·. UCKCUZ_C ?0?0 Prlofckm =
ZO
Pmrm cf shstckm klstrmjl cn
cquhfhorhl, cf eumf cstí ilrkmjl plr emofcs quc slsthcncn cf logctl jc pcsl Q ; =90 N. Jctcrkhnc, =. Fm kmanhtuj jc fm tcnshõn cn cf E, cn Ncwtln. Ncwtln. emofc M ME,
=11 ½ ? ?. Fm kmanhtuj jc fm tcnshõn cn cf emofc EC, cn Ncwtln.
?18 ½ 5
JHMA_MKM JC ESC_PL FHO_C JCF PSNZL M. PSNZL M.
JHMA_MKM JC ESC_PL FHO_C JCF PSNZL E PSNZL E
y
y
ZEC
ZME ZMO
93°
x
ZEJ
93°
53°
x
ZEM ; =19.3: N
Q ; =90 N
∝ ; ∝ ;
. + ZME scn93° - Q ; 0, ZME scn93° - =90 ; 0 ZME ; =19.3: N.
+ ZME els93° - ZMO ; 0, (=19.3:) els93° - ZMO ; 0, ZMO ; 1:.9= N
∝ ; ∝ ;
. + ZEC scn53° - ZEM s scn93° cn93° ; 0, ZEC scn53° - (=19.3:
N) scn93° ; 0
H
ZEC ; ?14.83 N
+ HH HH ZEC els53° - ZEM els93° - Z - ZEJ ; 0 (?14.83 N) els53° - (=19.3: N) els93° - Z - ZEJ ; 0 JCUPCGMNJL
;=35.48
Prlofckm ?
ZO
Fm ihaurm kucstrm jls iucrzms P y ] quc met÷mn cn cf lrhacn jc
ellrjcnmjms ‖0‛. Jctcrkhnc7 5. Fm kmanhtuj jc fm iucrzm rcsuftmntc jcohjm m fms jls iucrzms quc
met÷mn cn 0, cn fo
48: ½ :
0
:. Cf ínaufl jhrcetlr jc jc fm iucrzm
rcsuftmntc quc met÷m slorc 0, kcjhjl rcspcetl mf cgc z
(
.
(cserhom slfl fm emnthjmj)
81 ½ ?
_CULFSEHÕN7
⃑ ⃑ ;:45:45. .̏ ?+=4=4 +̏ +9=?9=?.̏.45959 ̏ =13=13..41111
cxprcsmjm cn ilrkm vcetlrhmf
Fm iucrzm jc kmanhtuj P pucjc jcselkplncrsc eln unm elkplncntc eln cf cgc y m unm jhrceehõn jc 90° y ltrm elkplncntc .
;;els ;sh n ? 0 3 ?0?000 scnscn 9090°° ; =1=15.5.?03 ;els ; ℎ ;?00els90°;=00 ̏ ⃑ ; 10. 10 . 1 = + =15.5. =1 ?03 ? 0 3 ̏ + ℎ 10. 1 = + n∃ ; = =00 00 s scn c n :3 :3° ° ; 10 10. . 1 = ; ℎ scn∃; ⃑ ; ℎ els∃ ;; =00=00 ELUELU :3°°; :3 ; 10.10.1= =13.:45:45.44.?==44 ̏+ 9=?9=?..45599 ̏ +=15. ?03 ̏ + 10.10.1= ⃑ ; :=?.?.:= 33== =03. ̏ + 149.9.14 =00:1: ̏ ⃑ ; 10.̏ +1= ̏ + ̏ +=15. ) + () + () ; ⃑ ; ( ;;els ;sh n + =03. =03. = 1 + 1 149. 49. 0 : : :=?. =?. 3 = 400 40 0 scn sc n 30 30° ° ; 9= 9=?.?. 4 59 ;els ; ℎ ;400els30°; ;400els30°;3=:.3=:.?50 ⃑ ; .⃑. ℎ ;;ℎℎsh enl∃s ∃;; 3=:.33=:.3=:.=:.??5050shn e?0°ls?0°;; ;;=13.=13.:45.:445.11?=4 els ; ⃑ ; .. ↟ ;9?.3?° , CGC d CGC d ELKPLNCNZCU _CEZMNASFM_CU,JC _CEZMNASFM_CU,JC FM ISC_WM P CN CGC CGC y y
,
Fm rcsuftmntc jc tljms fms iucrzms quc met÷mn slorc un eucrpl, cs fm sukm vcetlrhmf jc tljms cffms7
ELKPLNCNZCU _CEZMNASFM_CU JC
CN CF PFMNL x-z
cxprcsmjm cn ilrkm vcetlrhmf
o) Fm kmanhtuj y jhrceehõn jc jhedm iucrzm.
ELKPLNCNZCU _CEZMNASFM_CU JC FM ISC_WM
,
y , CGC d CGC d cn CGC CGC y
ELKPLNCNZCU
_CEZMNASFM_CU
JC
JH_CEEHLN JC
, FLU ELUCNLU JH_CEZL_CU
els ; ; 149.0: ↟ ;?4.::° els ; ⃑⃑ ∟..485.8= ↟ ;89.19°
;
P_LOFCKM 5
ZO
Fm iucrzm mpfhemjm jc M m O thcnc unm kmanhtuj jctcrkhnc7
; =30 N
,
3. Fm kmanhtuj jcf klkcntl cgcrehjl plr fm iucrzm P, rcspcetl mf puntl E, cn N.k
=?88 ½ : 9. Fms jhstmnehm pcrpcnjheufmr kcjhjm jcsjc cf puntl E m fm
fëncm jc meehõn jc fm iucrzm P , cn kctrls.
4.1 ½ 0.5 3. Cf klkcntl cgcrehjl plr fm iucrzm P, rcspcetl mf 9. Fms jhstmnehm pcrpcnjheufmr cntrc fls puntls puntl E. E m fm fëncm jc meehõn jc fm iucrzm P.
=. ELL_JCNMJMU JC FLU PSNZLU. M( 0, 4, 0) O(=0, 0,0) E( 0, 0, 9)
⃑ ; // Ñ ⃑
// ;;⌨,⌨0,, ,4, ⌧9⌧∑ ⃑ ;⃑ ; ∗ ∗ , ⃑ ; ⌨ ∗ , ⌧ ̏ ̏ | ⃑ ; | ⃑ ; ⌨. .⃑ ∗ ,;.∗ . ,.. ⌧
;80°’’⃑; ⃑⃑;’;’=?8=?88.scn=308.?3. ESMNJL
’’ ; ; 4.99
P_LOFCKM :
ZO ZO
Mf trmtmr jc klvcrsc m trmvès jc unm supcrihehc rcsomflsm plr cf dhcfl, un dlkorc jc pcsl Q usm jls eucrjms MO MO y y ME. Uh sc smoc quc fm iucrzm cgcrehjm plr cf dlkorc slorc fm supcrihehc elnacfmjm
cs pcrpcnjheufmr m fm supcrihehc. Mjckís, fm tcnshõn jcf emofc ME cs =?3 fo.
Jctcrkhnc7
1. Euíf cs fm kmanhtuj jcf pcsl jcf dlkorc quc met÷m slorc fm supcrihehc, cxprèscfm cn fo.
530 ½ ? 4. Fm kmanhtuj jc fm iucrzm jc MO,, tcnshõn cgcrehjm plr fm eucrjm MO
cxprèscfm cn fo. 9? ½ ? 1. JHMA_MKM JC ESC_PL FHO_C JCF PSNZL JC ELNES__CNEHM M
4. MPFH]SC FMU ELNJHEHLNCU JC C]SHFHO_HL X EMFESFC FLU YCEZL_CU SNHZM_HLU ]SC FC JMN FM JH_CEEHÕN M EMJM ISC_WM.
∝⃑ ; ⃑; =+?3⃑ ++⃑ ;
Jmtl7
YCEZL_CU SNHZM_HLU SNHZM_HLU PM_M FM JH_ JH_CEEHÕN CEEHÕN JC FMU ZCNUHLNCU MO y ME 7
⃑ ; ⌨∟,∟,,⌧⌧ ⃑ ; ⌨∟,∟,,∟⌧⌧ ⃑⃑ ;⃑; ⃑ ; ;⌨, ,,,⌧∑ ⌨,, ⃑ ; ⌨. .,.,.⌧
,
FM ISC_WM NL_KMF]SC CGC_EC FM USPC_IHEHC ULO_C CF DLKO_C CUZÍ CN CF PFMNL xy
1. ELL_JCNMJMU JC FLU PSNZLU. M( 50, -=9, =?) =?) O( 0,4 ,:: ) E(0, :, 0)
⃑ + ; ̏ ̏ ⃑ ; ⌨ , , ⌧ ; ⌨ , , ⌧ ⃑ ; ⌨,,,⌧
FM ISC_WM JC MZ_MEEHÕN A_MYHZMEHLNMF ]SC CGC_EC CF DLKO_C PM_MFCFM MF CGC -y7
∝ ; .+ ; ∝ ; +. + ; ↟ ∝ ;
=. MPFH]SC FM USKM JC FMU ISC_WMU, CN ELKPLNCNZCU.
H
HH
HHH
. ; ↟
_CUPSCUZM7 IMO ; 9=.914 fo,
Q ; 5:8.3 fo
NL_KMF ; ?44.5: fo
P_LOFCKM 3
ZO
Fm omrrm CJOM CJOM cstí slstcnhjm plr un slplrtc jc olfm y eucnem cn C y M, y plr cf emofc JI JI.. Jctcrkhnc. 8. Uë cf klkcntl quc cgcrec JI fm tcnshõn jcf emofc JI
rcspcetl m fm fëncm quc unc cs fls puntls C y M cs KCM ; - ?30 fo.hn,
¼Euíf cs fm kmanhtuj jc fm iucrzm jc tcnshõn jcf emofc JI
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