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- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Tatum)/13%3A_Lagrangian_MechanicsSometimes it is not all that easy to find the equations of motion and there is an alternative approach known as lagrangian mechanics which enables us to find the equations of motion when the newtonian...Sometimes it is not all that easy to find the equations of motion and there is an alternative approach known as lagrangian mechanics which enables us to find the equations of motion when the newtonian method is proving difficult.
- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Tatum)/04%3A_Rigid_Body_Rotation/4.04%3A_Lagrange's_Equations_of_MotionIn deriving Euler’s equations, I find it convenient to make use of Lagrange’s equations of motion. This will cause no difficulty to anyone who is already familiar with Lagrangian mechanics. The geomet...In deriving Euler’s equations, I find it convenient to make use of Lagrange’s equations of motion. This will cause no difficulty to anyone who is already familiar with Lagrangian mechanics. The geometrical description of a mechanical system at some instant of time can be given by specifying a number of coordinates, e.g., if the system consists of just a single particle, you could specify its rectangular coordinates xyz or its cylindrical coordinates ρϕz , or its spherical coordinates rθϕ .
- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/60%3A_Lagrangian_MechanicsThe reason theyre important is that in some problems one of the alternative formulations of mechanics may lead to equations that are much easier to solve than the equations that arise from Newtonian m...The reason theyre important is that in some problems one of the alternative formulations of mechanics may lead to equations that are much easier to solve than the equations that arise from Newtonian mechanics. Since the kinetic energy is a function of velocity v and potential energy will typically be a function of position x, the Lagrangian will (in one dimension) be a function of both x and v:L(x,v).
