Theoretical MechanicsTopic: Lagrangian and Hamiltonian Dynamics >Generate the necessary equations to this system. > Use the equations of motion>Generate equations for (x,y), (Vx,Vy), V², T> L = T-U ---For study purposes. Thank you! 7-4.A particle moves in a plane under the influence of a force f= -Ara-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 Lagrangianequations of motion. Is the angular momentum about the origin conserved? Is thetotal energy conserved?

A particle moves in a plane under the influence of a force . where A and are constants.The…

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