Lawv txhua tus muaj kev ywj pheej ntawm ib leeg, thiab txhua lub sijhawm. Geometrically lawv tuaj yeem ua ntev raws cov kab ncaj, lossis arc lengths raws curves, lossis cov ces kaum; tsis tas Cartesian kev tswj xyuas lossis lwm yam kev tswj hwm tus qauv.
Dab tsi yog qhov zoo ntawm kev siv cov kev tswj xyuas dav dav?
Qhov txiaj ntsig tseem ceeb ntawm kev siv cov kev tswj hwm dav dav yog qhov lawv tuaj yeem xaiv los ua qhov txuas mus rau qhov sib txuam quab yuam, thiab yog li ntawd lub zog tshwj xeeb tsis ua haujlwm rau kev txav mus los. generalized coordinate.
Ntau npaum li cas cov kev tswj hwm dav dav hauv cov pendulum yooj yim uas piav qhia cov lus tsa suab?
Muaj ob txoj haujlwm dav dav koj thiab θ txhawm rau txheeb xyuas qhov ua tiav ntawm qhov system.
Dab tsi yog qhov txawv ntawm kev tswj hwm dav dav thiab Cartesian kev tswj hwm?
Feem ntau, koj pib nrog Cartesian kev tswj hwm. Cov no yog (x, y, z) kev sib koom tes uas koj kawm txog hauv tsev kawm theem siab. Generalized (los yog curvilinear) kev tswj xyuas yog lwm tus lej tripletsuas piav qhia qhov chaw tib yam, xws li cov kab sib txuas lossis cylindrical.
Dab tsi yog tus naj npawb ntawm cov kev tswj xyuas dav dav uas yuav tsum tau ua kom paub meej qhov kev teeb tsa ntawm lub cev nruj Vim li cas?
Qhov chaw ntawm txhua qhov chaw ruaj khov hauv lub cev, xws li qhov nruab nrab ntawm pawg, tuaj yeem teev los ntawm pebkev sib koom ua ke cartesian dav dav nrog kev hwm rau tus ncej.
