phys306 lecture30 preview

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Cov eå Gcî ctìon. ond Normql Md¿s_ ßecoll th.if f.r a system with flïî.ßi?ï,*r'r'il#t ' dcooc,,r,,$r Kinc-lic E*qry P"'tediol Eneey Logrrangian sü.t i s (êr, e) = llote: Vúe sha¡ld scelc fit, lz âo tha; heu¿ {he sq¡rr¿ rnrts Exq.ple: The Do.¡ble Pr"år[o- T, night lef t=êt ', 1¡t 3 ø" hlhece I, hove defìne/, +'t, gencnalizeÅ cærdinofu veitoc n- = (1rr,oü"rølrrr,,,,clr). Thìs ìs a veclor-' fn K. in +h'e linøç c^lgebtq sen5e owl does ndl' nee.l be q vecloc ln "ocJ*l " sFEe. _Ii T(|, =T(Ifuty, \-) = U ( a l (v,,q,a -.-',q,.) [ = L( î.,î) = T(q, - u(î) r", 1i:#" L o.J rcutr"^ Ò¡¡ ¡trr*,1,1 ¡o *lWt qç, + b 7t nrqKos 5err6a

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PHYS 306 Lecture

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