The Lagrangian is defined as:
(a) L = T - V
where:
- L is the Lagrangian,
- T is the kinetic energy of the system, and
- V is the potential energy of the system.
The expression L=T−VL = T - VL=T−V is a central concept in Lagrangian mechanics, which forms the foundation for deriving the equations of motion in classical mechanics.