Video: Puas yog angular momentum yog axial vector?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Axial vectors yog vector hla cov khoom ntawm txoj haujlwm qub cov duab . Piv txwv li, angularmomentum L = r × v thiab torque T = r × F yog cov axialvectors.
Ib yam li ntawd, tib neeg nug, hom vector yog angular momentum?
Angular zog yog a vector kom muaj nuj nqis (ntau qhov tseeb, ib qho pseudovector) uas sawv cev rau cov khoom ntawm ib tus neeg lub cev kev sib hloov inertia thiab rotational tshaj tawm (hauv radians / sec) txog ib qho axis.
Ib yam li ntawd, angular tshaj tawm yog axial vector? Qhov no tso cai rau peb los txhais nws raws li qhov tseeb ceev yeej tsis muaj radial tivthaiv vim lub angularvelocity . Muaj ob hom vector . Ib qho yog polar, qhov thib ob yog axial . Angular tshaj tawm yog ib axialvector ua Yog li, tsis xav tau kev hloov pauv raws nws txoj kev.
Ib tug kuj yuav nug, yog angular momentum ib tug polar vector?
Angular zog yog tus ntoo khaub lig khoom ntawm adplacement (a polar vector ) thiab lub zog (polarvector ), thiab yog li ntawd yog ib tug pseudovector.
Dab tsi yog axial vector muab piv txwv?
Ib qho piv txwv ntawm ib axial vector yog cov vector khoom ntawm ob polar vectors , xws li L = r × p, qhov twg L yog lub angular momentum ntawm ib tug particle, r yog nws txoj hauj lwm vector , thiab p yog nws lub zog vector .sponsored los ntawm Factinate. David Vanderschel, PhD Mathematics & Physics, Rice (1970)
Pom zoo:
Dab tsi yog qhov muaj txiaj ntsig ntawm angular momentum quantum tooj L?
Lub Angular Momentum quantum tooj (l) piav qhia cov duab ntawm lub orbital. Qhov tso cai qhov tseem ceeb ntawml ntau ntawm 0 txog n - 1. Qhov sib nqus quantum tooj (ml) piav qhia txog kev taw qhia ntawm lub orbital inspace
Yuav ua li cas koj thiaj paub tias angular momentum yog kev txuag?
Ib yam li linear momentum tau txais kev cawmdim thaum tsis muaj lub zog sab nraud, lub zog angular yog qhov tsis tu ncua lossis khaws cia thaum lub net torque yog xoom. Yog tias qhov hloov pauv ntawm lub zog angular Δ L yog xoom, ces lub angular momentum yog tas li; so, → L = constant L → = constant (when net τ=0)
Puas yog Hamiltonian commute nrog angular momentum?
Thaum ib tug particle nyob rau hauv tus ntawm lub hauv paus (symmetrical) muaj peev xwm, ces L commutes nrog muaj peev xwm V (r). Yog tias L commutes nrog Hamiltonian tus neeg teb xov tooj (kinetic zog ntxiv rau lub zog muaj peev xwm) ces lub angularmomentum thiab lub zog tuaj yeem paub ib txhij
Qhov piv txwv ntawm angular momentum yog dab tsi?
Piv txwv ntawm kev txuag ntawm Angular Momentum Xav txog ib tug spinning skater. Lwm qhov piv txwv nrov ntawm kev txuag ntawm lub zog angular yog tus neeg tuav lub tsheb kauj vab tig ntawm lub rooj zaum tig. Tus neeg ntawd tig hla lub tsheb kauj vab, ua rau nws tig mus rau qhov sib txawv, raws li qhia hauv qab no
Dab tsi yog qhov derivative ntawm angular momentum?
Qhov tseem ceeb sib npaug Velocity ntawm qhov nruab nrab ntawm pawg ntawm dov khoom vCM=Rω Derivative of angular momentum equals torque d→ldt=∑→τ Angular momentum of a system of particles → L = → l1 + → l2 + ⋯ + → lN For a system of particles, derivative of angular momentum equals torque d → Ldt = ∑ → τ Angular momentum ntawm lub cev rotating nruj L = I ω