Lagrange's equations

Lagrange's equations are a mathematical tool used in physics to analyze the motion of objects. They help describe how systems evolve over time by focusing on energy rather than forces. By examining a system's kinetic (movement) and potential (stored) energy, Lagrange's equations can derive the equations of motion. This method is particularly useful for complex systems, such as those with constraints or multiple bodies, allowing for simpler calculations compared to traditional approaches like Newton's laws. Essentially, they provide a systematic way to understand how different factors influence an object's movement.