The Lagrangian method uses the Kinetic Energy and Potential Energy to give us the equation of motion, that's well and good.
But it seems too random to define a quantity called $L$ (action).
The expression for $L$ is $T-V$ (T- Kinetic Energy; V - Potential Energy ).
The major constraint is that $L$ must be minimized, why is that?
Why should the difference of kinetic energy and potential energy of a system be minimized. Is there any way to make sense of this?
