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Lecture
Force Diagrams: Principles and Applications
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Springs: Forces and Elastic Constants
Explores springs, forces, and elastic constants in a coordinate system.
Kinematics: Reference Frames and Coordinates
Introduces reference frames, coordinates, point mass, trajectory, velocity, acceleration, and motion with constant acceleration.
Equations of Motion and Stability
Explores equations of motion resolution, equilibrium points, and stability analysis through small perturbations in a mechanical system.
Inertial Frame: Earth's Reference Systems
Covers Earth's inertial frames, specific forces, and the Vernal Equinox.
Circular Motion: Position and Velocity
Covers circular motion, position, velocity, and acceleration in different coordinates systems, solving related problems.
Continuity Equations: Internal Entropy Production
Explores continuity equations and internal entropy production in various coordinate systems, emphasizing scalar functions and vector quantities.
Hamiltonian Mechanics: Diatomic Molecules
Explores Hamiltonian mechanics in diatomic molecules, emphasizing polar coordinates and conservation laws.
Gateways to the Moon and Local Floer Homology
Explores the problem of a falling stone hitting the moon, focusing on gateways to the moon and local Floer homology.
Central Motion: Angular Momentum and Kinetic Moment
Explores central motion, focusing on moment of force, kinetic moment, and properties of motion, including the formula of Binet and historical vs. modern approaches.
Introduction to Structural Mechanics
Introduces resultants in 3D, equilibrium in 2D, and free-body diagrams for structural analysis.