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Cylindrical and Spherical Coordinates, Rotations
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Advanced Physics I: Kinematics and Coordinate Systems
Explores advanced physics topics like kinematics in 3D, non-Cartesian coordinates, and practical examples of collisions and snowball fights.
Kinematics: Position, Velocity, Acceleration
Covers the fundamental concepts of kinematics, including position, velocity, and acceleration in different coordinate systems.
Center of Mass Calculation in Mechanics
Explores center of mass calculation in mechanics, emphasizing system symmetry and spherical coordinates for simplifying calculations.
Geometric Transformations: Rotations
Covers the analytical expression of rotations in different coordinate systems.
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Cylindrical and Spherical Coordinates
Covers cylindrical and spherical coordinates as alternatives to Cartesian coordinates, focusing on their definitions, coordinate lines, and vector projections.
Rotations and Symmetries
Covers the preservation of isometry by rotations and symmetries.
Geometric Constraints
Explores how to handle mechanical problems with geometric constraints and associated forces.
Symmetries in Mechanics and Wave Equations
Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.