Analytical Mechanics is a branch of physics that focuses on the motion of objects and the forces acting upon them. It uses mathematical techniques to describe and predict the behavior of physical systems. This approach often employs concepts like energy, momentum, and the principle of least action, making it a powerful tool for solving complex problems in mechanics. One of the key frameworks in Analytical Mechanics is Lagrangian Mechanics, which reformulates classical mechanics using the Lagrangian function. This method simplifies the analysis of systems with constraints and provides a deeper understanding of motion, making it essential for fields such as engineering, astrophysics, and robotics.