Qhov nruab nrab ntawm lub ntiajteb txawj nqus (CG) yog lub hauv paus rau qhov khoom faib qhov hnyav, qhov twg lub zog ntawm lub ntiajteb txawj nqus tuaj yeem txiav txim siab ua. Qhov no yog lub ntsiab lus uas cov khoom nyob hauv qhov sib npaug zoo, tsis muaj teeb meem li cas tig lossis tig ncig lub ntsiab lus ntawd. Yog tias koj xav paub yuav suav li cas qhov nruab nrab ntawm lub ntiajteb txawj nqus ntawm ib yam khoom, tom qab ntawd koj yuav tsum nrhiav qhov hnyav ntawm qhov khoom: thiab ib yam khoom ntawm nws, nrhiav cov ntaub ntawv, thiab ntsaws qhov paub qhov ntau rau hauv qhov sib npaug rau suav qhov nruab nrab ntawm lub ntiajteb txawj nqus. Yog tias koj xav paub yuav suav li cas qhov nruab nrab ntawm lub ntiajteb txawj nqus, tsuas yog ua raws cov theem no.
Cov kauj ruam
Tshuab xam zauv
Center of Gravity Calculator
Txhawb wikiHow thiab qhib tag nrho cov qauv.
Txoj Kev 1 ntawm 4: Txheeb Xyuas Qhov hnyav
Kauj Ruam 1. Xam qhov hnyav ntawm qhov khoom
Thaum koj tab tom suav qhov nruab nrab ntawm lub ntiajteb txawj nqus, thawj qhov koj yuav tsum tau ua yog nrhiav qhov hnyav ntawm qhov khoom. Cia peb hais tias koj tab tom suav qhov hnyav ntawm qhov pom-pom uas muaj qhov hnyav ntawm 30 lbs. Txij li nws yog cov khoom sib npaug, nws qhov nruab nrab ntawm lub ntiajteb txawj nqus yuav nyob hauv nws qhov chaw yog tias nws khoob. Tab sis yog tias pom-pom muaj cov neeg sib txawv ntawm qhov hnyav zaum ntawm nws, tom qab ntawd qhov teeb meem nyuaj me ntsis.
Kauj Ruam 2. Xam qhov hnyav ntxiv
Txhawm rau nrhiav qhov nruab nrab ntawm lub ntiajteb txawj nqus ntawm pom-pom nrog ob tus menyuam nyob rau ntawm nws, koj yuav tsum tau tus kheej kom pom qhov hnyav ntawm cov menyuam ntawm nws. Thawj tus menyuam muaj qhov hnyav txog 40 lbs. thiab tus menyuam thib ob yog 60 lbs.
Txoj Kev 2 ntawm 4: Txheeb Xyuas Datum
Kauj Ruam 1. Xaiv cov ntaub ntawv
Cov ntaub ntawv yog qhov xav tau pib qhov chaw tso rau ntawm ib kawg ntawm qhov pom-pom. Koj tuaj yeem tso cov ntaub ntawv ntawm ib kawg ntawm qhov pom-lossis lwm qhov. Cia peb hais qhov pom-pom yog ntev li 16 feet. Wb tso cov ntaub ntawv nyob rau sab laug ntawm qhov pom-ze, ze rau thawj tus menyuam.
Kauj Ruam 2. Ntsuas qhov ntsuas qhov deb ntawm qhov chaw nruab nrab ntawm lub hom phiaj tseem ceeb thiab los ntawm ob qhov hnyav ntxiv
Cia peb hais tias cov menyuam yaus txhua tus zaum 1 ko taw deb ntawm txhua qhov kawg ntawm kev pom-pom. Qhov nruab nrab ntawm qhov pom-pom yog qhov nruab nrab ntawm qhov pom-pom, lossis ntawm 8 taw, txij li 16 ko taw faib los ntawm 2 yog 8. Nov yog qhov kev ncua deb ntawm nruab nrab ntawm lub hom phiaj tseem ceeb thiab ob qhov hnyav ntxiv rau hauv daim ntawv qhia:
- Qhov chaw pom-pom = 8 feet deb ntawm datum.
- Menyuam 1 = 1 ko taw deb ntawm datum
- Menyuam 2 = 15 feet deb ntawm datum
Txoj Kev 3 ntawm 4: Nrhiav Qhov Chaw Ntawm Lub Ntiajteb
Kauj Ruam 1. Muab txhua yam khoom nrug deb ntawm cov ntaub ntawv los ntawm nws qhov hnyav kom pom nws lub sijhawm
Qhov no muab sijhawm rau koj rau txhua qhov khoom. Nov yog yuav ua li cas sib npaug txhua qhov khoom nrug ntawm cov ntaub ntawv los ntawm nws qhov hnyav:
- Pom-pom: 30 lb. x 8 ft. = 240 ft. X lb.
- Menyuam 1 = 40 lb. x 1 ft. = 40 ft. X lb.
- Menyuam 2 = 60 lb. x 15 ft. = 900 ft. X lb.
Kauj Ruam 2. Ntxiv peb lub sijhawm
Cias ua lej: 240 ft. X lb. + 40 ft. X lb. + 900 ft. X lb = 1180 ft. X lb. Tam sim no tag nrho yog 1180 ft. X lb.
Kauj Ruam 3. Ntxiv qhov hnyav ntawm txhua yam khoom
Nrhiav qhov sib piv ntawm qhov hnyav ntawm qhov pom, thawj tus menyuam, thiab tus menyuam thib ob. Txhawm rau ua qhov no, ntxiv qhov hnyav: 30 lbs. + 40 Ib. + 60 hli = 130 Ib.
Kauj Ruam 4. Sib faib tag nrho lub sijhawm los ntawm qhov hnyav tag nrho
Qhov no yuav ua rau koj nyob deb ntawm cov ntaub ntawv mus rau qhov chaw ntawm qhov nqus ntawm qhov khoom. Txhawm rau ua qhov no, tsuas faib 1180 ft. X lb. los ntawm 130 lbs.
- 1180 ft. X lb. ÷ 130 lbs = 9.08 ft.
- Qhov nruab nrab ntawm lub ntiajteb txawj nqus yog 9.08 ko taw los ntawm cov ntaub ntawv, lossis ntsuas 9.08 ko taw los ntawm qhov kawg ntawm sab laug ntawm qhov pom-pom, uas yog qhov chaw khaws cov ntaub ntawv.
Txoj Kev 4 ntawm 4: Txheeb Xyuas Koj Cov Lus Teb
Kauj Ruam 1. Nrhiav qhov nruab nrab ntawm lub ntiajteb txawj nqus hauv daim duab
Yog tias qhov nruab nrab ntawm lub ntiajteb txawj nqus uas koj pom yog nyob sab nrauv ntawm cov khoom, koj muaj cov lus teb tsis raug. Tej zaum koj yuav tau ntsuas qhov kev ncua deb ntawm ntau dua ib lub ntsiab lus. Sim dua nrog tsuas yog ib qho datum.
- Piv txwv li, rau cov tib neeg zaum ntawm lub qhov rooj pom kev, qhov nruab nrab ntawm lub ntiajteb txawj nqus yuav tsum nyob rau qee qhov ntawm qhov pom, tsis yog rau sab laug lossis sab xis ntawm qhov pom. Nws tsis tas yuav ncaj qha rau tus neeg.
- Qhov no tseem muaj tseeb nrog teeb meem hauv ob qhov ntev. Kos ib lub xwmfab tsuas yog loj txaus kom haum txhua yam khoom hauv koj qhov teeb meem. Qhov nruab nrab ntawm lub ntiajteb txawj nqus yuav tsum sab hauv lub xwmfab no.
Kauj Ruam 2. Txheeb koj cov lej yog tias koj tau txais cov lus teb me me
Yog tias koj xaiv ib qho kawg ntawm cov kab ke raws li koj cov ntaub ntawv, cov lus teb me me tso rau hauv nruab nrab ntawm lub ntiajteb txawj nqus txoj cai ib sab ntawm ib kawg. Qhov no tuaj yeem yog cov lus teb raug, tab sis feem ntau nws yog qhov cim ntawm qhov ua yuam kev. Thaum koj xam lub sijhawm, koj puas sib npaug qhov hnyav thiab nrug deb ua ke? Qhov no yog txoj hauv kev kom pom lub sijhawm. Yog tias koj yuam kev ntxiv lawv ua ke dua, feem ntau koj yuav tau txais cov lus teb me dua.
Kauj Ruam 3. Teeb meem yog tias koj muaj ntau dua ib lub hauv paus ntawm lub ntiajteb txawj nqus
Txhua qhov system tsuas muaj ib lub hauv paus ntawm lub ntiajteb txawj nqus. Yog tias koj pom ntau dua ib qho, koj yuav hla ntu uas koj ntxiv txhua lub sijhawm ua ke. Qhov nruab nrab ntawm lub ntiajteb txawj nqus yog lub sijhawm tag nrho faib los ntawm qhov hnyav tag nrho. Koj tsis tas yuav faib txhua lub sijhawm los ntawm txhua qhov hnyav, uas tsuas yog qhia koj txoj haujlwm ntawm txhua yam khoom.
Kauj Ruam 4. Txheeb xyuas koj cov ntaub ntawv yog tias koj cov lus teb tawm los ntawm tus lej tag nrho
Cov lus teb rau peb qhov piv txwv yog 9.08 ft. Cia peb hais tias koj sim nws thiab tau txais cov lus teb 1.08 ft., 7.08 ft, lossis lwm tus lej xaus nrog ".08." Qhov no feem ntau yuav tshwm sim vim tias peb tau xaiv sab laug ntawm qhov pom raws li cov ntaub ntawv, thaum koj xaiv txoj cai kawg lossis qee qhov taw tes qhov sib nrug deb ntawm peb cov ntaub ntawv. Koj cov lus teb yog qhov tseeb tsis muaj teeb meem twg uas koj xaiv! Koj tsuas yog yuav tsum nco ntsoov qhov ntawd cov ntaub ntawv ib txwm nyob ntawm x = 0. Nov yog qhov piv txwv:
- Txoj kev peb daws nws, cov ntaub ntawv yog nyob rau sab laug ntawm qhov pom. Peb cov lus teb yog 9.08 ft, yog li peb qhov chaw nruab nrab yog 9.08 ft los ntawm cov ntaub ntawv ntawm sab laug kawg.
- Yog tias koj xaiv cov ntaub ntawv tshiab 1 ft los ntawm sab laug kawg, koj tau txais cov lus teb 8.08 ft rau qhov nruab nrab ntawm qhov hnyav. Qhov nruab nrab ntawm pawg yog 8.08 ft los ntawm cov ntaub ntawv tshiab, uas yog 1 ft ntawm sab laug kawg. Qhov nruab nrab ntawm qhov nruab nrab yog 8.08 + 1 = 9.08 ft los ntawm sab laug kawg, tib cov lus teb peb tau txais ua ntej.
- (Nco tseg: Thaum ntsuas qhov deb, nco ntsoov tias kev mus rau sab laug ntawm cov ntaub ntawv tsis zoo, thaum kev ncua mus rau sab xis yog qhov zoo.)
Kauj Ruam 5. Ua kom ntseeg tau tias txhua qhov koj ntsuas yog nyob hauv kab ncaj
Cia peb hais tias koj pom lwm tus "menyuam nyob rau ntawm qhov pom" piv txwv, tab sis ib tus menyuam loj dua li lwm tus, lossis ib tus menyuam raug dai hauv qab lub qhov rooj es tsis txhob zaum saum. Tsis quav ntsej qhov sib txawv thiab ua txhua yam koj ntsuas raws txoj kab ncaj ntawm lub saw saw. Kev ntsuas qhov nrug ntawm cov ces kaum yuav ua rau cov lus teb uas nyob ze tab sis tawm me ntsis.
Txog qhov teeb meem pom, txhua yam koj mob siab txog yog qhov chaw nruab nrab ntawm lub ntiajteb txawj nqus nyob ntawm txoj kab sab laug-txoj cai ntawm lub qhov rooj. Tom qab ntawd, koj yuav kawm paub ntau txoj hauv kev los laij qhov nruab nrab ntawm qhov nqus hauv ob qhov ntev
Lub tswv yim
- Lub ntsiab lus rau qhov nruab nrab ntawm lub ntiajteb txawj nqus ntawm qhov kev faib tawm dav dav yog (∫ r dW/∫ dW) qhov twg dW yog qhov sib txawv ntawm qhov hnyav, r txoj haujlwm vector thiab kev sib xyaw yuav tsum raug txhais ua Stieltjes kev sib koom ua ke thoob plaws lub cev. Txawm li cas los xij lawv tuaj yeem hais tawm ntau dua li pom zoo Riemann lossis Lebesgue ntim ntim rau kev faib khoom uas lees paub qhov ua haujlwm ntom ntom. Pib nrog qhov kev txhais no txhua yam khoom ntawm CG suav nrog cov uas tau siv hauv kab lus no yuav yog muab los ntawm cov khoom ntawm Stieltjes cov kev sib txuas.
- Txhawm rau nrhiav CG ntawm ob yam khoom siv, siv cov mis Xcg = ∑xW/∑W txhawm rau nrhiav CG raws x-axis thiab Ycg = ∑yW/∑W txhawm rau nrhiav CG raws y-axis. Lub ntsiab lus uas lawv sib tshuam yog lub hauv paus ntawm lub ntiajteb txawj nqus.
- Txhawm rau nrhiav qhov kev ncua deb tus neeg xav tau txav mus los kom sib npaug ntawm qhov pom-pom ntawm qhov ua tiav, siv cov qauv: (qhov hnyav txav) / (tag nrho qhov hnyav) = (nrug CG txav) / (nrug qhov hnyav tau txav mus). Cov qauv no tuaj yeem rov sau dua los qhia tias qhov deb li cas qhov hnyav (tus neeg) xav tau txav mus los sib npaug qhov nrug ntawm CG thiab lub sij hawm ua kom tiav qhov hnyav ntawm tus neeg faib los ntawm qhov hnyav tag nrho. Yog li thawj tus menyuam xav tau txav -0.08ft * 40lb / 130lbs = -.33ft lossis -4in. (mus rau ntawm ntug ntawm qhov pom-pom). Lossis, tus menyuam thib ob yuav tsum tau txav -0.08ft * 130lb / 60lbs = -2.33ft lossis -28in. (mus rau nruab nrab ntawm qhov pom-pom).
