Translational tsab ntawv tsa suab

Yuav ua li cas yog ib tug hnyav zog? Tsev kawm ntawv phau kom meej meej raws li peb rau lo lus nug: qhov pem hauv ntej suab ntawm lub cev (Ceeb toom, ib qho zoo tagnrho yam khoom - "kiag li khoom lub cev" - ATT, devoid ntawm tej yam zoo yog ua tau yuav tsum tau deformed!) - nws yog ib tug zog nyob rau hauv uas txhua txoj kab ncaj nraim twv tseem thaum uas tig mus rau nws tus kheej thaum lub sij hawm tag nrho zog hauv lub cev (ATT).

Teb nkawd yuav exhaustive. Lus Txhais yog muab, thiab nyob rau hauv cov txheej txheem nyob rau hauv dej siab ntawm cov Translational tsab ntawv tsa suab kinematics. Chiv, qhov no yog qhov nyuaj cov ntaub ntawv ntawm ib tug niaj hnub rectilinear tsab ntawv tsa suab, ces - lub ntau thiab nthuav rau nug minds ravnoperemennoe (! Thiab dua nruj me ntsis linear) zog, ib tug tiag tiag li piv txwv uas yog cov dawb lub caij nplooj zeeg ntawm lub cev. Nyob rau hauv seem no lawm, cov menyuam yuav ntsib nrog nthuav cov qauv, hais raws li nram no:

1. Txoj kev mus los ntawm lub cev tshaj successive Team sib yog hais txog li cov plaub fab ntawm lub ntuj tus xov tooj: 1: 4: 9: 16 ...

thiab

2. Txoj kev traversed lub cev thaum lub sij hawm successive sib npaug zos lub sij hawm cov Team sib, yog qhia raws li ib tug series ntawm khib tus xov tooj: 1: 3: 5, 9 ...

Nyob rau hauv kev daws teeb meem tshwm sim nyob rau hauv lub yuav tsum tau methodological thiab xaam cov cuab yeej, ib qho kev nthuav txoj kev reversibility ntawm cov lus tsa suab, nyob rau hauv uas tag nrho cov zaum kawg cov ntaub ntawv yog thawj thiab vice versa (zog raws li nws tshwm sim nyob rau hauv kev coj rov qab, nrog lub countdown). Lub zog ntawm cov ntxeev ntawm lub instantaneous tshaj tawm vector ntawm tus txheej txheem ntawm tag nrho cov ntsiab lus ntawm ib tug ncaj txoj kev hloov nws kev taw qhia unchanged tsuas yog cov kev taw qhia ntawm cov acceleration vector, txhob txuam nrog cov vector resultant ntawm tag nrho cov rog thov mus rau lub cev.

Lub "Dynamics of linear tsab ntawv tsa suab" raws li kinematics, ib tug priori implies hais tias lub zog ntawm lub cev yog ib tug ncaj qha hnyav, tsis muaj tig nyob ib ncig ntawm tej axis thiab tus lim mas. Nws yog vim hais tias ntawm no pre-teev tej yam kev mob yuav tsum tsis saib tsis xyuas nyob rau hauv loj ntawm lub cev nyob rau hauv ib tug neeg ua hauj lwm, xav tias es tsis txhob zoo tagnrho khoom - cov khoom point (MT) yog spatially coincident nrog qhov chaw ntawm lub ntiajteb txawj nqus (CG) ntawm lub cev. Txawm li cas los, MT chaw yav tas los nkag mus rau hauv lub "Kinematics" rau tus neeg mob qhov twg qhov loj ntawm lub cev muaj peev xwm yuav saib xyuas piv nrog rau txoj kev ntev.

Txuag kev cai nyob rau hauv cov ntaub ntawv ntawm rectilinear tsab ntawv tsa suab kuj xam tau tias yog nyob rau hauv tej yam kev mob thaum peb paub daws teeb los ntawm cov tau sib hloov ntawm lub cev los ntawm muab nws hnyav zog (txwv tsis pub yuav muab suav hais tias reciprocal transformation ntawm lub muab lub zog mus ua zog lub zog ntawm cov lus tsa suab ntawm pem hauv ntej thiab rov qab)

Nyob rau hauv luv luv, cov kev kawm nyob rau hauv lub tsev kawm ntawv physics kawg rau pem hauv ntej txav (narrowly sawv cev ib tug tshwj xeeb cov ntaub ntawv ntawm cov lus tsa suab nrog ib tug ncaj kab!) Muab loj zaub mov rau thought thiab theoretical kev tshawb fawb. Koj muaj peev xwm tsis hais txog lub sim ib feem ntawm lub tsev kawm ntawv cov hoob kawm uas kawm cov hnyav zog. Zoo sim teeb yog tsuas tsis tuaj kawm ntawv nyob rau hauv feem ntau cov chav kawm ntawv.

Txawm tias ib tug tshwj xeeb cov ntaub ntawv ntawm ncaj rau pem hauv ntej cov lus tsa suab kawm feem ntau nyob rau hauv kev tshawb xav. Yeej muaj tseeb, tsis muaj ib tug khoom ua si, tshuab Atwood cumbersome thiab sai sai tsis taus inquisitive me nyuam kawm ntawv, raug zwm ntsia qhov chaw nyob rau hauv lub deb sab ntawm physics txee. Ua qauv qhia rau lwm xws li zawv zawg nrog ib tug hlau ncav us txog cargo zoo rau nws meaningless, txij li thaum lawv theej tawm nws tus kheej-txaus nyob rau hauv cov ntaub ntawv ntawm rectilinear tsab ntawv tsa suab, uas tsis yog zoo tib yam rau lub Translational tsab ntawv tsa suab nyob rau hauv cov kev cov ntaub ntawv. Yuav ua li cas ces yuav pom zoo kom? Tsuas yog kev tshawb fawb nrhiav nyob rau hauv lub surrounding kev muaj tiag tshaj physics kuaj siv tej yam ntuj tso wit!

Uas tau tsav ua ib phau ntawv piv txwv ntawm lub Ferris log ( "dab ntxwg nyoog tus Log"), lub ntug thiab nws spokes ua ib tug muab lub zog, thiab ntsuam xyuas booths yog tsiv tshee (albeit nyob rau hauv ib lub voj voog!) Convinces rau peb hais tias lub rau pem hauv ntej cov lus tsa suab ATT (thiab kwv yees li - qhov tiag lub cev) yuav ua tau tsis tau tsuas yog straightforward, tab sis kuj yuav muaj tej yam nkhaus txoj kev (nyob rau hauv cov ntaub ntawv no typology coincides nrog lub trajectory ntawm lub muab lub zog ntawm cov MT).

Lub tswv yim ntawm kev nrhiav neeg mob hnyav zog rau cov chaw ua si (nyob rau hauv sim hom thiab tsis yog ib tug theoretical sib cav) "cov lus dag twg nyob ze" nrog rau cov "Ferris log". Thaum tuaj mus rau lub chaw ua si, peb yuav tsum tau xyuas seb tus seem thaum uas tig mus rau nws tus kheej ncaj (simulated los ntawm tej yam ceg me los yog nyias lath) ntawm lub cev tsab ntawv tsa suab rau tag nrho cov hom ntawm viav vias, ncig lug tsheb thiab simulators. Nws yog tseeb hais tias yuav muaj hnyav tshwj tsis yog tias lub free caij nplooj zeeg ntawm ib tug tswg lub cev, dua tawm ib co "nce toj ncej".

Ua kom paub tseeb tias ib tug dawb huv Translational zog yog feem ntau pom nyob rau hauv cov xwm raws li ib tug tshwj xeeb cov ntaub ntawv - cov rau pem hauv ntej linear tsab ntawv tsa suab, peb pom-heartedly yuav npaj mus rau lub theoretical khoom siv ntawm ib lub tsev kawm ntawv.