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Lecture
Equilibrium: Analysis and Formulation
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Virtual Work II: Conservative Forces and Equilibrium
Explores virtual work, conservative forces, equilibrium, and internal loads in structures.
Equilibrium in 3D: System Isolation and Constraints
Covers the equilibrium conditions in 3D, system isolation, free-body diagrams, and constraints.
Redox Reactions: Thermodynamics and Kinetics
Covers standard redox reactions, Nernst equation, and environmental applications.
Lyapunov Methods: Stability Analysis
Explores Lyapunov methods for analyzing stability in nonlinear control systems using functions and mechanical analogies.
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Explores the equilibrium in carbonate systems, including species like H₂CO3 and HCO3, with examples and exercises.
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Thermodynamic Functions and Equilibria: Mathematical Tools
Discusses thermodynamic functions, their mathematical tools, and key relationships between state variables in thermodynamics.
Equilibrium Shifts: Le Châtelier's Principle
Explores how equilibrium shifts in response to changes, with examples like the Haber-Bosch process and Clausius-Clapeyron equation.
General Physics: Mechanics for SIE and GC
Covers constraints, equilibrium points, and stability in mechanics using examples like pendulums.
Special Types of Systems: Limit Cycles
Covers special types of systems, focusing on gradient systems and limit cycles, discussing equilibrium points, stability, and chaotic behavior.