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Explores work, kinetic energy, forces, and energy conservation in mechanical systems.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Explores the harmonic oscillator, covering energy functions, equations of motion, and operator constructions.

Explores momentum, impulse, work, energy, and angular momentum in advanced physics.

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

Covers the symmetries in space-time and dynamical equations, with examples from Newtonian dynamics.

Covers the analysis of speed variation using differential equations and small time intervals.

Explores conservative forces, work, and potential energy calculations.

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

Covers partial derivatives, differentiability, differential equations, sets properties, and local extrema verification.

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

Explores gyroscopes, harmonic motion, energy of oscillation, and differential equations for oscillatory systems.

Explores quantities of movement, impulse, work, energy, and momentum, including Newton's laws and technical equation solutions.

Explores work in mechanics, kinetic and potential energy, conservative forces, and the conservation of mechanical energy.

Explores mechanical energy conservation, potential and kinetic energy relationship, laws of motion, and harmonic oscillator.

Covers variational methods to find the shortest time path for a particle under gravity.

Explores work, energy, conservation principles, and angular momentum in physics.

Covers work, potential energy, and the principle of virtual work in structural mechanics.

Covers the material point model, initial conditions, and Newton's laws in physics.

Explores the conservation of energy using a simple pendulum example and discusses various forms of energy.