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Lecture
Rotations: Fixed Points and Spherical Coordinates
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Rotations (2D): Definitions and Analytical Expressions
Covers the concept of 2D rotations and their analytical expressions.
Analytical Geometry: Rotation and Center
Explores rotation in analytical geometry, including center coordinates and fixed points.
Rigid body rotation and static equilibrium
Explores rotational motion, moment of inertia, torque, and static equilibrium in rigid bodies.
Mechanical Motion of Cones
Explores the advanced physics of cone motion, including rotation, rolling without slipping, and vector decomposition.
Motion in Three Dimensions
Explores non-Cartesian coordinates, dynamics of a point particle, and motion in three dimensions.
Kinematics and Dynamics of Rigid Bodies
Explores kinematics and dynamics of rigid bodies, including Euler angles and moment of inertia.
Coordinate Systems: Polar and Spherical
Covers polar and spherical coordinate systems, position vectors, equations of motion, and Frenet frame concepts.
Angular Speed: Concepts and Applications
Covers the concept of angular speed and its applications in mechanics.
Angular Momentum and Rotational Dynamics
Explores angular momentum, rotational dynamics, and moment of inertia for solids.