CM@HCU :: Tutorial I

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Assistance for Classical Mechanics Tutorial-I

Step to write the Lagrangian for a system of point particles:

Choose a set of axis
Write expressions for kinetic and potential energies for the particles in terms of position vectors in Cartesian coordinates.
Check if there are constraints between components of positions. If yes choose generalized coordinates. Express the postion vectors in terms of generalized coordinates.
Express the kinetic and potential energies in terms of generalized coordinates
Write down the Lagrangian as \(L =T-V \).