Conservation of Mechanical Energy: Stability and Equilibria

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Explores harmonic oscillators, potential energy conservation, and stability around equilibrium points.

Explores kinetic energy, work, force potential, and equilibrium stability in mechanics, emphasizing energy conservation and force impact on systems.

Explores the principles of structural mechanics, including internal loads, equilibrium stability, and the superposition principle.

Covers the concept of mechanical energy conservation and angular momentum in different systems.

Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.

Explores potential energy, mechanical energy, and resonance in mechanical systems, including conservative forces and energy transformation.

Covers mathematical modeling in chemistry and biology, including chemical reactions, enzymatic kinetics, and population dynamics.

Explores virtual work in structural mechanics, stability criteria, reaction load calculations, and mechanical systems with springs.

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

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