Classic mechanic or “Classic Dynamic” is all about applying the Newton’s laws on a dynamic system and deriving the dynamic equations of motions of system. Usually, you first draw Free Body Diagram of system and apply the forces on parts and derive the equations of motion. Therefore, we could say Classic Dynamic is “Force-Based” approach.
In “Analytical Dynamic”, we use another approach to derive “equations of motion” or “Dynamic Equations of System”. In this approach we first calculate the energy of system (kinetic and potential energies) and then derive the dynamic equations from energy of the system, thus, the Analytical Dynamic is “Energy-Based” approach.
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