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enricfemi
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while facing dissipation systems, some books define the L with L=T+w.
is it universal?
where is its limits?
THX!
is it universal?
where is its limits?
THX!
Ben Niehoff said:How is w defined? I've never seen it written this way.
L=T+w is a mathematical equation used in Lagrangian dynamics to describe the motion of a system. It represents the total kinetic energy (T) of the system plus the potential energy (w) of the system. It is derived from the principle of least action and is commonly used in classical mechanics and physics.
L=T+w is used to determine the equations of motion for a system, based on the system's kinetic and potential energies. It is a more efficient method than using Newton's laws of motion, as it reduces the number of variables needed to describe the system's motion.
L=T+w is significant in Lagrangian dynamics because it simplifies the equations of motion for a system. It also allows for the use of generalized coordinates, making it easier to analyze and solve complex systems.
Yes, L=T+w can be applied to any type of system, including mechanical, electrical, and even quantum systems. As long as the system's kinetic and potential energies can be defined, L=T+w can be used to describe the system's motion.
No, L=T+w is not a fundamental equation in physics. It is derived from the principle of least action, which is a fundamental concept in classical mechanics. However, L=T+w has proven to be a powerful tool in analyzing and solving complex systems in various fields of physics.