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Equation of Motion of A Simple Pendulum

Transforming F=ma

Equations of Constraint and Generalized Coordinates 1

Equations of Constraint and Generalized Coordinates 2

Equations of Constraint and Generalized Coordinates 3

d'Alembert's Principle 1

d'Alembert's Principle 2

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

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)

Calculus of Variations and Hamilton's Principle 1

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