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Courses
Applied Mathematics
intro_to_lagrangian_mechanics
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Course Content
Category: Applied Mathematics
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Introduction to Lagrangian Mechanics Discussion Group
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Lagrangian Mechanics
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Forces and Equations of Constraint
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Transforming F=ma
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Equation of Motion of A Simple Pendulum
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Equations of Constraint and Generalized Coordinates 2
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Equations of Constraint and Generalized Coordinates 3
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d'Alembert Principle 1
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Deriving Lagrange's Equation 1
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Deriving Lagrange's Equation 2
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d'Alembert's Principle 2
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Applications of Lagrange's Equation 1
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Applications of Lagrange's Principle 2
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Conservative Forces and Potentials
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Conservative Forces and Potentials 2
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Conservative Forces and Potentials 3
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Conservative Forces and Potentials 4
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Example : Double Pendulum
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Detailed Recap and Moment of Inertia
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Moment of Inertia Tensor
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Moment of Inertia Tensor 2
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Examples : Moment of Inertia
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Examples : Moment of Intertia 2
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Examples : Moment of Intertia 3 (with Center of Mass)
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Calculus of Variations
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Calculus of Variations 2
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Continuous Transformations
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Continuous Transformation 2
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Comprehensive Example : Two Swinging Connected Rods
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Comprehensive Example : Two Swinging Connected Rods 2
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Comprehensive Example : Two Swinging Connected Rods 3
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Tutorials
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Tutorial Part 1
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Tutorial Part 2
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Complete Example of Lagrange's Principle
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