The Lagrangian of a particle moving in a plane under the influence of a central potential is given by L =m(r +r*o*)-v (r). The generalized momenta corresponding to r and 0 are given by:
The Lagrangian of a particle moving in a plane under the influence of a central potential is given by L =m(r +r*o*)-v (r). The generalized momenta corresponding to r and 0 are given by:
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Transcribed Image Text:8.
The Lagrangian of a particle moving in a plane under the influence ofacentral potential
is given by L =m(r²
+r*o²)-v (r). The generalized momenta corresponding to r
and e are given by:
(a) mr and mr²0
(b) mr and mre
(c) mi²ė and mrė²
(d) mr and mr²è²
(1+à)
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