👉 Tension math, also known as the tension method or Lagrange's equations in the context of classical mechanics, arises when dealing with systems where multiple constraints and forces are involved. It seeks to find the path of least action, or equivalently, the path that minimizes the integral of the Lagrangian over time. This method is particularly useful for systems with complex constraints, such as those found in robotics or mechanical linkages. The core idea is to express the system's dynamics using a Lagrangian, which combines the kinetic and potential energies, and then derive the equations of motion by applying the principle of least action. The resulting equations can be highly nonlinear and may involve solving a system of differential equations, often leading to tension in the form of complex mathematical derivations and numerical challenges.
