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Topic outline

  • General

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  • Lagrangian Mechanics

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      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

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      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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