2. A point particle of mass m moves in a plane under the influence of a force F. F(r) = -kr"-1 where k and 3 are positive constants. The force is directed towards the origin. Assuming the potential energy to be zero at the origin and choosing appropriate generalised coordinates, write down the Lagrangian and identify the cyclie coordinate. Is the angular monentum about the origin conserved?
2. A point particle of mass m moves in a plane under the influence of a force F. F(r) = -kr"-1 where k and 3 are positive constants. The force is directed towards the origin. Assuming the potential energy to be zero at the origin and choosing appropriate generalised coordinates, write down the Lagrangian and identify the cyclie coordinate. Is the angular monentum about the origin conserved?
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Transcribed Image Text:2. A point particie of mass m moves in a plane under the influence of a force F.
F(r) = -kr-1.
where k and 3 are positive constants. The force is directed towards the origin. Assuning the
potential energy to be zero at the origin and choosing appropriate generalised coordinates,
write down the Lagrangian and identify the cyclie coordinate. Is the angular monentun
about the origin conserved?
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