Analytical mechanics

Analytical mechanics is a branch of mechanics that uses mathematical methods to analyze physical systems, particularly in relation to motion and forces. It provides a framework for understanding classical mechanics through principles derived from physics and mathematics. The two primary formulations of analytical mechanics are: 1. **Lagrangian Mechanics**: This formulation is based on the principle of least action and utilizes the Lagrangian function, which is defined as the difference between the kinetic and potential energy of a system.