Movimiento Del Centro de Masa

 

 

Livflfdnti jda cdntri jd lmsm

Da cdntri jd lmsm ds unm pisfcfón jdgfnfjm dn rdamcfón m un ibedti i m un sfstdlm jd ibedtis, ds da prildjfi jd am pisfcfón jd tijms ams pmrtds jda sfstdlm, pinjdrmjms jd mcudrji m sus lmsms. Dn am gfhurm gfhurm,, tdndl tdndlis is jis pmrt pmrtìcu ìcuams ams jd lmsms lmsms l=  y l2, cili l=  d ds s lmyir  lmyir  qud l2, am pisfcfón jda cdntri jd lmsms jda sfstdlm jd jis pmrtìcuams dstmrí cdrcm jd am lmsm lmyir.

Am lmsm titma jda sfstdlm ds am sulm jd ams lmsms jd ams pmrtìcuams qud ai cilpindn

Sf da sfstdlm sd cilpind jd vmrfms pmrtds, am lmsm sdrí am sulm jd ams jd ams pmrtds qud ai cilpindn

Wdctir jd pisfcfón jda cdntri jd lmsms Da vdctir jd pisfcfón jda cdntri jd lmsms sd jdgfnd cili5

Jinjd L  ds am lmsm titma jda sfstdlm jd pmrtìcuams. Am pisfcfón jda cdntri jd lmsms ni tfdnd pir quæ cifncfjfr cin am pisfcfón jd nfnhunm jd ams pmrtìcuams jda sfstdlm, ds sflpadldntd un punti dn da dspmcfi.

 

Dedlpai dn am vfjm citfjfmnm

Lfdntrms un viaqudtd sdm lís dstrdcki y lís amrhi kmcfm mrrfbm su cdntri jd lmsm sdrí lís fndstmbad pudsti qud da vdctir gudrzm qud smahm jd dsd cdntri jd lmsm. ]ud mkirm sd vudavd cdntri jd hrmvdjmj tdnjrí unm ldnir írdm jd mpiyi y dn unm curvm sd pudjd viacmr.

 

 

Zdirdlm jd cinsdrvmcfón jd am cmntfjmj jd livflfdnti

Am cmntfjmj jd livflfdnti sd jdgfnd cili da prijucti jd am lmsm pir am vdaicfjmj jd am pmrtìcuam. Dn ldcínfcm m am cmntfjmj jd livflfdnti, ni ds lís qud am pripfdjmj jd cinsdrvmcfón. cinsdrvmcfón. Dstd cinsfstd dn qud am sulm hdilætrfcm jd ams cmntfjmjds jd livflfdnti jd ais cudrpis dn fntdrmccfón sd cinsdrvm fnvmrfmbad. Am sulm jd ams cmntfjmjds jd livflf liv flfdn dnti ti qudj qudjm m cinst cinstmn mntd, td, munq munqud ud ams cmnt cmntfjm fjmjds jds jd livfl livflfdn fdnti ti jd ais cudrpis vmrìmn, ym qud sibrd cmjm cudrpi mctõmn ams gudrzms jd fntdrmccfón. Da prfncfpfi jd cinsdrvmcfón jd am cmntfjmj jd livflfdnti ds unm jd ams lís flpirtmntds adyds jd am nmturmadzm, jdludstrm am fntdrmccfón jd jis cudrpis. Ams adyds jd Ndwtin  Ndwtin  pdrlftdn rdsiavdr da pribadlm jd livflfdnti jd ais cudrpis, pdri dstí jdlistrmji qud dn luckms icmsfinds ds jfgìcfa kmaam da vmair jd ams gudrzms qud mctõmn sibrd un cudrpi. Ma dxmlfnmr da ckiqud jd jis cudrpis sudad sdr jfgìcfa, ym qud, ma dntrmr dn cintmcti, ams jdgirlmcfinds jd sus pmrtds sin jd cmríctdr cilpafcmji, ds jdcfr pir luy pdqudýms qud dstms sdmn sus jdgirlmcfinds tfdndn un cilpafcmji mspdcti y ni qudjm camri ais vmairds jd ams lmhnftujds x y ` dn am górluam jd am Ady jd Kii`d. Ndwtin Ndwt in gu gud d da prfl prfldr dri i dn jmrs jmrsd d cudn cudntm tm qu qud d pmrm pmrm cmlb cmlbfm fmrr am cm cmnt ntfj fjmj mj jd livflfdnti ds ndcdsmrfi qud sibrd da cudrpi mctõd unm gudrzm. Da cmlbfi jd am cmntfjmj jd livflfdnti jdpdnjdrí tmnti jda vmair jd am gudrzm cili jda tfdlpi qud dstæ mctumnji dsm gudrzm. Am 2ª ady jd am jfnílfcm nis fnjfcm qud am vmrfmcfón jd am cmntfjmj jd livflfdnti jd un sfstdlm girlmji pir uni i lís cudrpis jdpdnjd jd am rdsuatmntd jd tijms ams gudrzms qud mctõmn sibrd dsd sfstdlm y jda tfdlpi qud dstæn mpafcmjms sibrd da lfsli. • Tn sfstdlm sd jfcd qud dstí mfsamji cumnji am rdsuatmntd jd tijms ams gudrzms qud mctõmn sibrd æa ds nuam5 G < ? • _ir _ir ai tm tmnt nti, i, dn un sfst sfstdl dlm m mfsa mfsamj mji i ni kmy kmy vm vmrf rfmc mcfó fón n jd am cm cmnt ntfj fjmj mj jd livflfdnti, i ai qud ds ai lfsli, am cmntfjmj jd livflfdnti titma jda sfstdlm pdrlm pd rlmnd ndcd cd cins cinstmn tmntd td.. Dsti Dsti sd cinicd cinicd cili cili prfnc prfncfpf fpfi i jd cinsd cinsdrvm rvmcf cfón ón jd am cmntfjmj jd livflfdnti (_CCL), qud, mahdbrmfcmldntd sd pudjd dxprdsmr5 G < ? p < ? p < cinstmntd. • Da _CCL pdrlftd rdsiavdr mahunis pribadlms jd unm girlm lís sflpad qud sf tuvfærml tuvf ærmlis is qud cmacuamr cmacuamr ams gudrzms. gudrzms. Mntds Mntds jd mpafcmr mpafcmr da _CCL _CCL cinvfdn cinvfdnd d qud rdgadxfindlis sibrd ai qud sfhnfgfcm sfstdlm mfsamji. Dn dstis sfstdlms jdcflis qud ds nuam am rdsuatmntd jd ams gudrzms dxtdrfirds qud mctõmn sibrd æa, pdri nmjm

 

jdcflis jd ams gudrzms fntdrfirds, ds jdcfr, jd ams gudrzms qud jfgdrdntds pmrtds jda sfstdlm pudjdn dedrcdr dntrd sì. Sd jdgfnd am cmntfjmj jd livflfdnti jd unm pmrtìcuam cili da prijucti jd su lmsm pir su vdaicfjmj

Sus jfldnsfinds sin LAZ  − =  y sus unfjmjds dn da SF sin

(i

)

 M pmrtfr jd am jdgfnfcfón jdgfnfcfón ds fnldjfmti qud

dsti ds, am jdrfvmjm rdspdcti ma tfdlpi jd am cmntfjmj jd livflfdnti ds fhuma m am rdsuatmntd jd ams gudrzms mpafcmjms sibrd am pmrtìcuam. Dn da cmsi jd unm siam pmrtìcuam, da tdirdlm jd am cmntfjmj jd livflfdnti ni ds lís qud am sdhun sdhunjm jm ady ady jd Ndwt Ndwtin in.. Ds Dstd td tdir tdirdlm dlm cibrm cibrm fntdr fntdræs æs cumnj cumnji i sd hdndrmafzm m sfstdlms jd pmrtìcuams. Jd am sdhunjm ady jd Ndwtin ds fnldjfmti qud5 ‑Am cmntfjmj jd livflfdnti jd unm pmrtìcuam pdrlmndcd cinstmntd cumnji am rdsuat rdsuatmn mntd td jd ams gudrzms gudrzms qud mctõm mctõmn n sibrd sibrd daa daam m ds nuam nuam jurm jurmntd ntd un fntdrvmai jd tfdlpi“

_udsti _uds ti qud qud am lmsm lmsm jd am pmrtìc pmrtìcuam uam pdrlm pdrlmnd ndcd cd cins cinstmn tmntd, td, sf am cmntf cmntfjm jmj j jd livflfdnti sd cinsdrvm, am vdaicfjmj tmlbfæn pdrlmndcd cinstmntd

_ir tmnti, sf am rdsuatmntd jd ams gudrzms qud mctõmn sibrd am pmrtìcuam sd mnuam jurmn ju rmntd td un fntdr fntdrvm vmai ai jd tfdlp tfdlpi, i, am pmrtì pmrtìcua cuam m sd jdspa jdspamzm mzm cin cin un livflf livflfdn dnti ti rdctfaìndi y unfgirld jurmntd jfcki pdrfiji. Dsti ni ds dxmctmldntd ai lfsli qud ai qud jfcd am _rfldrm Ady jd Ndwtin, puds dstm ady kmbam jd pmrtìcuam ni sildtfjm m nfnhunm fntdrmccfón, lfdntrms qud da tdirdlm jd cinsdrvmcfón sd rdgfdrd m unm pmrtìcuam sildtfjm m jfgdrdntds gudrzms, pdri tmads qud su rdsuatmntd ds nuam.

 

_mrm da cm _mrm cmsi si jd unm unm pmrt pmrtìc ìcua uam m dstd dstd tdir tdirdl dlm m jd cins cinsdr drvm vmcf cfón ón mpir mpirtm tm picm picm fngirlmcfón nudvm. Sfn dlbmrhi, su dxtdnsfón ma cmsi jd un sfstdlm jd pmrtìcuams   ds dxtrdlmjmldntd õtfa. pmrtìcuams

Dedlpai jd am vfjm citfjfmnm Dxprdsmji jd unm lmndrm lís sdncfaam, sf dlpuemlis ma liusd mjqufrfrí lmyir  vdaicfjmj qud sf dlpuemlis, cin am lfslm cmntfjmj jd gudrzm, m am C_T. Dntrd ais gd Dntrd gdnó nóldn ldnis is qud qud sd pudj pudjdn dn dxpafc dxpafcmr mr gícfa gícfald ldntd ntd cin cin da prfnc prfncfp fpfi fi jd cinsdrvmcfón jd am cmntfjmj jd livflfdnti sd dncudntrmn ais ckiquds jd biams jd bfaamr i vdkìcuais, am pripuasfón jd mahunis pdcds ma mrriemr mhum kmcfm mtrís, ais cikd cikdtds tds,, ais cmýin cmýinds ds,, am pripu pripuasf asfón ón m ckiqu ckiqud d mpafc mpafcmjm mjm m ais mvfin mvfinds ds m rdmccfón, dtc.

 

 

Zdirdlm jd cinsdrvmcfón jd am dndrhìm

Am dndrhìm ds unm pripfdjmj qud dstm rdamcfinmjm cin ais cmlbfis i pricdsis jd trmnsgirlmcfón jd am nmturmadzm. Sfn dndrhìm nfnhõn pricdsis gìsfci, quìlfci i bfiaóhfci sdrìm pisfbad. Am girlm girlm jd dndr dndrhìm hìm ms msic icfmj fmjm m m ams trmns trmnsgir girlmc lmcfin finds ds jd tfpi tfpi ldcín ldcínfci fci sd jdnil jd nilfnm fnm dndrh dndrhìm ìm ldcín ldcínfcm fcm y su trmnsg trmnsgdrd drdnc ncfm fm jd un cudrp cudrpi i m itri itri rdcfb rdcfbd d da nilbrd jd trmbmei. Da tdirdlm tdirdlm jd am cinsdrvm cinsdrvmcfó cfón n jd am dndrhìm dndrhìm dstmbadcd dstmbadcd qud da trmbmei trmbmei rdmafzm rdmafzmji ji sibrd sib rd un cudrpi cudrpi sd fnvfdrtd fnvfdrtd dxmctmldnt dxmctmldntd d dn muldntmr muldntmr mahõn tfpi jd dndrhìm, dndrhìm, cumnj cumnji i dn un sfstd sfstdlm lm sóai sóai kmy kmy gudrz gudrzms ms cinsd cinsdrvm rvmtfv tfvms ms55 am dndr dndrhìm hìm ldcín ldcínfcm fcm pdrlmndcd cinstmntd, am dndrhìm cfnætfcm sd trmnsgirlm dn dndrhìm pitdncfma y vfcdvdrsm. Sibrd un cudrpi mctõmn gudrzms ni cinsdrvmtfvms, cili ams jd rizmlfdnti, am dndrh dn drhìm ìm ldcí ldcínfc nfcm m ym ni pdrlm pdrlmndc ndcd d cinstm cinstmstd std y am vmrfmc vmrfmcfó fón n jd am dndrh dndrhìm ìm ldcínfcm ds prdcfsmldntd da trmbmei rdmafzmji pir ams gudrzms ni cinsdrvmtfvms. Ams gudrzms cinsdrvmtfvms sin unm gudrzm pmrm ams cumads da trmbmei dntrd jis puntis ds fnjdpdnjfdntd jda cmlfni qud sd dlpadm pmrm fr jd uni m itri Da trmbmei rdmafzmji pir unm gudrzm cumnji unm pmrtìcuam sd ludvd jdsjd un punti  M m un punti B jdpdnjd jdpdnjd dn hdndrma jda cmlfni rdcirrfji. _ir dedlpai, unm gudrzm jd rizmlfdnti rdmafzm un trmbmei lmyir cumnti lmyir sdm am jfstmncfm rdcirrfjm, munqud ais puntis fnfcfmads y gfnmads sdmn ais lfslis dn tijis ais cmlfnis.

pmrm unm gudrzm cinsdrvmtfvm, pir tmnti, pijdlis ilftfr am fnjfcmcfón jd am curvm y dscrfbfr sflpadldntd

jinjd am fntdhrma sd cmacuam pir un cmlfni mrbftrmrfi. Dsti nis pdrlftd jdgfnfr am dnd dndrhì rhìm m pitdnc pitdncfma  fma   jd am cuma jdrfvm am gudrzm cinsdrvmtfvm cili

 

jinjd ji njd

ds un punt punti i gfei, gfei, cinic cinicfj fji i cili cili irf irfhdn hdn jd pitdncf pitdncfma  ma   pmrm pmrm da cuma cuma am

dndrhìm pitdncfma ds nuam. _mrm da cmsi jd gudrzms cinsdrvmtfvms pudjd dnuncfmrsd un tdirdlm cilpadldntmrfi ma tdirdlm jd ams gudrzms vfvms. vfvms.  M am kirm jd cmacuamr da trmbmei rdmafzmji rdmafzmji pir unm gudrzm cinsdrvmtfvm cinsdrvmtfvm pmrm fr jd un punti M m uni B pijdlis dadhfr un cmlfni qud pmsd pir da irfhdn jd pitdncfma. Jd dstm girlm, pijdlis dxprdsmr da trmbmei cili jfgdrdncfm dntrd jis dndrhìms pitdncfmads

dsti ds5 ‑Da trmbmei rdmafzmji pir unm gudrzm cinsdrvmtfvm ds fhuma ma jdcrdldnti jd su dndrhìm pitdncfma.“ Sf cinsfjdrmlis am vmrfmcfón fnstmntíndm jd am dndrhìm pitdncfma aadhmlis m am sfhufdntd rdamcfón pmrm gudrzms cinsdrvmtfvms.

Cilbfnmn Cilbf nmnji ji da tdird tdirdlm lm jd ams gudrzm gudrzms s vfvms vfvms cin cin da jd am dndr dndrhìm hìm pitdn pitdncfm cfmaa ibtdndlis qud, cumnji tijms ams gudrzms sin cinsdrvmtfvms.

dsti ds, am qud jfslfnuyd am dndrhìm pitdncfma ds fhuma m ai qud muldntm am dndrhìm cfnætfcm i vfcdvdrsm. Rdmhrupmnji tærlfnis y jdgfnfdnji am dndrhìm ldcínfcm  jd am pmrtìcuam cili am sulm jd su dndrhìm cfnætfcm lís am pitdncfma ibtdndlis

Ai qud sd cinicd cili tdirdlm jd cinsdrvmcfón jd am dndrhìm ldcínfcm5

 

‑Dn musdncfm jd gudrzms ni cinsdrvmtfvms, am dndrhìm ldcínfcm jd unm pmrtìcuam pdrlmndcd cinstmntd.“ Dstd tdirdlm tdirdlm jdem jd culpafrs culpafrsd d cumnji cumnji sibrd am pmrtìcua pmrtìcuam m mctõmn mctõmn gudrzms gudrzms ni cinsdrvmtfvms, cili da rizmlfdnti. Ams gudrzms qud rdjucdn am dndrhìm ldcínfcm sd cinicdn cili gudrzms jfsfpmtfvms. Am cinstmncfm jd am dndrhìm ldcínfcm pudjd dxprdsmrsd dn girlm jd jdrfvmjm tdlpirma

Dedlpai jd am vfjm citfjfmnm Dedlpai jd am trmnsgirlmcfón jd am dndrhìm ds am qud icurrd ma cindctmr unm sdcmjirm jd pdai m un cintmcti jd dndrhìm daæctrfcm ma dncdnjdr am sdcmjirm, am dndrhìm daæctrfcm sd cinvfdrtd dn dndrhìm ldcínfcm qud kmcd hfrmr un pdqudýi litir jdntri jd am sdcmjirm, itrm pmrtd jd am dndrhìm daæctrfcm sfrvd pmrm cmadntmr  unm pdqudým rdsfstdncfm y hdndrmr dndrhìm tærlfcm y gfnmaldntd am sdcmjirm dlftd un sinfji ma dstmr guncfinmnji qud ds itrm girlm jd dndrhìm.

 



  Cincausfón

Da tdlm jd sfstdlms sfstdlms jd pmrtìc pmrtìcuams uams ds un lijdai lijdai jd sfstdlm sfstdlm gìsfci i cudrpis cudrpis cuyms jfldnsfinds tfdnd rdadvmncfm dn am girlmcfón mcmjælfcm, jd tma lmndrm qud dsti hdndrm cfdrtis sfstdlms rdmads qud pudjdn sdr dstujfmjis cili un trmbmei jd pmrtìcuams.

 

 Bfbafihrmgìm  Jfnílfcm jd un sfstdlm jd pmrtìcuams. pmrtìcuams. (s. g.). kttp5//www.sc.dku.ds/sbwdb/gfsfcmY/jfnmlfcm/sfstdlms/jfnmlfcm/jfnmlfcmY=.ktla#5 ~5tdxt