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Topic outline

  • Lagrangian Mechanics

    • Forces and Equations of Constraint Page
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    • Transforming F=ma Page
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    • Equation of Motion of A Simple Pendulum Page
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    • Equations of Constraint and Generalized Coordinates 2 Page
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    • Equations of Constraint and Generalized Coordinates 3 Page
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    • d'Alembert Principle 1 Page
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    • Deriving Lagrange's Equation 1 Page
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    • Deriving Lagrange's Equation 2 Page
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    • d'Alembert's Principle 2 Page
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    • Applications of Lagrange's Equation 1 Page
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    • Applications of Lagrange's Principle 2 Page
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    • Conservative Forces and Potentials Page
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    • Conservative Forces and Potentials 2 Page
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    • Conservative Forces and Potentials 3 Page
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    • Conservative Forces and Potentials 4 Page
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    • Example : Double Pendulum Page
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    • Detailed Recap and Moment of Inertia Page
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    • Moment of Inertia Tensor Page
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    • Moment of Inertia Tensor 2 Page
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    • Examples : Moment of Inertia Page
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    • Examples : Moment of Intertia 2 Page
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    • Examples : Moment of Intertia 3 (with Center of Mass) Page
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    • Calculus of Variations Page
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    • Calculus of Variations 2 Page
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    • Continuous Transformations Page
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    • Continuous Transformation 2 Page
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    • Comprehensive Example : Two Swinging Connected Rods Page
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    • Comprehensive Example : Two Swinging Connected Rods 2 Page
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    • Comprehensive Example : Two Swinging Connected Rods 3 Page
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  • Tutorials

    • Tutorial Part 1 Page
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    • Tutorial Part 2 Page
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    • Complete Example of Lagrange's Principle Page
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