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Explores the Principle of D'Alembert and perfect constraints in mechanical systems, demonstrating their application through examples like the simple pendulum.
Explores generalized momentum, cyclic variables, symmetries, and conservation principles in mechanics, including Noether's theorem and mechanical energy conservation.
Explores central motion, focusing on moment of force, kinetic moment, and properties of motion, including the formula of Binet and historical vs. modern approaches.
Explores work, energy, and conservation principles in mechanics through examples and experiments, emphasizing the optimization of paths for efficiency.
Explains ellipses in Cartesian and polar coordinates, focusing on geometric locus and trajectory parameters using mechanical energy and angular momentum constants.
Explores the Hamiltonian formalism for the harmonic oscillator, focusing on deriving Lagrangian and Hamiltonian, isolating the system, and generating new conserved quantities.
