Lecture
Mechanics: Rotational Dynamics
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Coordinate Systems: Cylindrical, Spherical, Rotations
Covers cylindrical and spherical coordinates, position, velocity, and acceleration vectors.
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.
Coordinate Systems: Polar and Spherical
Covers polar and spherical coordinate systems, position vectors, equations of motion, and Frenet frame concepts.
Central Motion: Trajectories and Energy
Explores central motion properties, energy conservation, and trajectory parameter determination based on mechanical energy and angular momentum.
Dynamics of Rigid Bodies
Introduces cylindrical coordinates, forces in rigid bodies, and pendulum motion analysis, emphasizing constraints and dynamic forces.
Celestial Mechanics: Newton's Gravitational Law
Explores angular momentum and Newton's law of gravitation, showcasing the derivation of the gravitational force expression and its implications for celestial bodies.
Central Force Dynamics
Explores central force dynamics, conservation laws, and conic sections properties.
Polar Coordinates: Position and Velocity
Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.
Material Point Model: Basics
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