ifos • paper_1 • mechanics
[UPSC IFoS 2015] Conservation Laws (Q23, 10M)
The Lagrangian for a particle has the form L = \frac{1}{2} m (\dot{x}^2 + \dot{y}^2) - U(r) Obtain its form in plane polar coordinates and then get expression for the Hamiltonian using appropriate transformation.
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