Tensioner of a Rotating Drum: Vibratory Mechanics

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Explores Hamiltonian formulation and its equivalence with Euler-Lagrange equations, illustrated through examples.

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Explores potential energy, mechanical energy, and resonance in mechanical systems, including equilibrium, stability, and energy transformation.

Explores the classical harmonic oscillator and its algebraic approach to studying the system.

Explores kinematic laws, forces-motion coupling, Lagrange formulation, and equations of motion in mechanical systems.

Explores central motion in a 1/r² field, focusing on trajectory determination and types of trajectories based on energy constants.

Explores energy conservation through practical examples, demonstrating how forces affect potential and kinetic energy transformations.

Covers Lagrange's method in mechanics, focusing on handling constraints and deriving equations of motion.

Covers Lagrangian mechanics, a method simplifying equations of motion by focusing on energy concepts and generalized forces in complex systems.