www.wikidata.uk-ua.nina.az
Zvedena masa mira inercijnosti vidnosnogo ruhu materialnih tochok Cya velichina dozvolyaye zvesti zadachu dvoh til do zadachi odnogo tila Zazvichaj poznachayetsya literoyu m i maye rozmirnist masi Zvedena masa dvoh til iz masami m 1 displaystyle m 1 ta m 2 displaystyle m 2 dorivnyuye m m 1 m 2 m 1 m 2 displaystyle mu frac m 1 m 2 m 1 m 2 Zvedena masa mensha za masu oboh til Zmist 1 Vivedennya 1 1 Nyutonova mehanika 1 2 Mehanika Lagranzha 2 Div takozh 3 DzherelaVivedennya RedaguvatiRivnyannya mozhna otrimati takim chinom Nyutonova mehanika Redaguvati Dokladnishe Nyutonova mehanikaVikoristovuyuchi drugij zakon Nyutona sila z yakoyu tilo 2 diye na tilo 1 ye F 12 m 1 a 1 displaystyle mathbf F 12 m 1 mathbf a 1 nbsp Sila z yakoyu tilo 1 diye na tilo 2 ye F 21 m 2 a 2 displaystyle mathbf F 21 m 2 mathbf a 2 nbsp Zgidno z tretim zakonom Nyutona ci sili rivni za modulem i protilezhni za napryamkom F 12 F 21 displaystyle mathbf F 12 mathbf F 21 nbsp Otzhe m 1 a 1 m 2 a 2 displaystyle m 1 mathbf a 1 m 2 mathbf a 2 nbsp a 2 m 1 m 2 a 1 displaystyle mathbf a 2 m 1 over m 2 mathbf a 1 nbsp Vidnosne priskorennya arel mizh dvoma tilami zadane yak a r e l a 1 a 2 1 m 1 m 2 a 1 m 2 m 1 m 1 m 2 m 1 a 1 F 12 m r e d displaystyle mathbf a rm rel mathbf a 1 mathbf a 2 left 1 frac m 1 m 2 right mathbf a 1 frac m 2 m 1 m 1 m 2 m 1 mathbf a 1 frac mathbf F 12 m rm red nbsp Otzhe mi mozhemo dijti visnovku sho tilo 1 ruhayetsya shodo poziciyi tila 2 yak tilo masa yakogo dorivnyuye zvedenij masi Mehanika Lagranzha Redaguvati Dokladnishe Mehanika LagranzhaInakshe opis Lagranzha zadachi dvoh til daye Lagranzhian L 1 2 m 1 r 1 2 1 2 m 2 r 2 2 V r 1 r 2 displaystyle L 1 over 2 m 1 mathbf dot r 1 2 1 over 2 m 2 mathbf dot r 2 2 V mathbf r 1 mathbf r 2 nbsp de r ce vektor poziciyi masi mi chastinki i displaystyle i nbsp Potencialna energiya V ce funkciya yaka zalezhit lishe vid vidstani mizh dvoma chastinkami Yaksho mi viznachimo r r 1 r 2 displaystyle mathbf r mathbf r 1 mathbf r 2 nbsp i poklademo pochatok koordinat v odnu tochku z centrom mas tobto m 1 r 1 m 2 r 2 0 displaystyle m 1 mathbf r 1 m 2 mathbf r 2 0 nbsp todi r 1 m 2 r m 1 m 2 r 2 m 1 r m 1 m 2 displaystyle mathbf r 1 frac m 2 mathbf r m 1 m 2 mathbf r 2 frac m 1 mathbf r m 1 m 2 nbsp Teper pidstavlyayuchi otrimuyemo novij Lagranzhian L 1 2 m r 2 V r displaystyle L 1 over 2 mu mathbf dot r 2 V r nbsp de m m 1 m 2 m 1 m 2 displaystyle mu frac m 1 m 2 m 1 m 2 nbsp ye zvedenoyu masoyu Otzhe mi zveli zadachu dvoh til do zadachi z odnim tilom Div takozh RedaguvatiZadacha dvoh til Sistema centru masDzherela RedaguvatiFedorchenko A M 1975 Teoretichna mehanika Kiyiv Visha shkola 516 s nbsp Ce nezavershena stattya z fiziki Vi mozhete dopomogti proyektu vipravivshi abo dopisavshi yiyi Otrimano z https uk wikipedia org w index php title Zvedena masa amp oldid 26915014