This is an introductory course in Lagrangian mechanics provided for college students and anyone who is familiar with Newtonian mechanics and calculus.
In this course you will learn how to apply Lagrangian mechanics to the classical systems and find their equations of motion and their physical quantities. When applied to the classical systems, Lagrangian mechanics is equivalent to the Newtonian mechanics, but more easier than it, especially when you are dealing with more complicated systems.
Register to this course and enjoy learning Lagrangian mechanics!
In this lecture Lagrangian is introduced and is written in the generalized coordinate system.
In this lecture Euler-Lagrange equations (or Lagrange equations of second kind) which are derived from the Least Action Principle, are introduced without proof.
In this lecture you will learn how to write Lagrangian of the classical system and find forces and momentums of the system from its Lagrangian.
In this lecture, you will learn how to apply Lagrangian formalism to the perfectly elastic spring and find its equation of motion.
In this lecture, you will learn how to apply Lagrangian formalism to the simple pendulum and find its equation of motion.
In this lecture, you will learn how to apply Lagrangian formalism to the double pendulum and find its equations of motion.
In this lecture you will learn how to find conservative forces from Lagrangian.
In this lecture you will learn how to use Lagrange equations of first kind, and find constraint forces.
In this lecture you will learn how to apply Lagrange equations of first kind to the Atwood machine, and find its constraint force (tension) along with its equation of motion and conservative force.
In this lecture you will learn how to identify the cyclic coordinate in Lagrangian, and find its corresponding momentum (that is conserved).
In this lecture, you will find conserved momentum and energy of the projectile.
Soghra Tayfeh Bagheri, Physics Educator, Course Creator, Writer, and Assignment Helper in these areas of Physics: Newtonian (or Classical) Mechanics, Lagrangian and Hamiltonian Mechanics, Statistical Mechanics, Quantum Mechanics, Electricity and Magnetism, Electrodynamics, Special Theory of Relativity, Computational Physics and Cosmology.
I have studied Physics and Cosmology, both at master level. I enjoy teaching, solving physics problems, and learning more.