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A particle moves in a plane under the inuence of a force f = Ar'1 directed to- ward the origin; A and a (> 0)

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A particle moves in a plane under the inuence of a force f = Ar"'1 directed to- ward the origin; A and a (> 0) are constants. Choose appropriate generalized co- ordinates, and let the potential energy be zero at the origin. Find the Lagrangian equations of motion. Is the angular momentum about the origin conserved? Is the total energy conserved

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