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Lagrangian Mechanics
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Lagrangian Mechanics
Dario Fanucchi
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About course
This course covers lagrangian mechanics course for Computational and Applied Mathematics mainly for the University of the Witwatersrand
Syllabus
Section 1. Simple Pendulum
Equation of Motion of A Simple Pendulum
Section 2. Transforming F = ma
Transforming F=ma
Section 3. Equations of Constraint and Generalized Coordinates
Equations of Constraint and Generalized Coordinates 1
Equations of Constraint and Generalized Coordinates 2
Equations of Constraint and Generalized Coordinates 3
Section 4. d'Alembert's Principle
d'Alembert's Principle 1
d'Alembert's Principle 2
Section 5. Lagrange's Equation and Conservative Forces
Deriving Lagrange's Equation 1
Deriving Lagrange's Equation 2
Applications of Lagrange's Principle 1
Applications of Lagrange's Principle 2
Applications of Lagrange's Principle 3
Conservative Forces and Potentials
Conservative Forces and Potentials 2
Conservative Forces and Potentials 3
Conservative Forces and Potentials 4
Complete Example of Lagrange's Principle
Example : Double Pendulum Part 1
Section 6. Moments
Detailed Recap and Moment of Inertia
Moment of Inertia Tensor
Moment of Inertia Tensor 2
Examples : Moment of Intertia
Examples : Moment of Intertia 2
Examples : Moment of Intertia 3 (with Center of Mass)
Section 7. Calculus of Variations and Hamilton's Principle
Calculus of Variations and Hamilton's Principle 1
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