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Lecture
Curl in 2D: Understanding Vector Field Rotation
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Related lectures (30)
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Divergence of Vector Fields
Explores divergence of vector fields, rotational definitions, and integral derivation applications.
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Angular Speed of Rotation: Solid System
Analyzes angular speed of rotation, internal forces, vectors, and system transformation in a solid.
Curl in 2D: Rotation and Examples
Explores curl in 2D vector fields, demonstrating its rotation concept through examples and its application in physics.
Scalar Products in 2D and 3D Geometry
Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.
Kinematics and Dynamics: Reference Frames, Vectors, and Accelerations
Explores reference frames, vectors, accelerations, and rotations in physics, including kinematics of a material point and uniform circular motion.
Coordinate Systems and Rotations
Covers cylindrical and spherical coordinates, vector positions, velocities, accelerations, and rotations.
Cinématique: Vecteur Rotation
Covers the concept of vector rotation in kinematics and the derivative of a vector with constant norm.
Coordinate Systems: Polar, Cylindrical, Spherical
Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.
Rotations: Angular Momentum
Covers angular momentum in rotations, including preservation of angles and vector products.
Analytical Geometry: Rotation and Center
Explores rotation in analytical geometry, including center coordinates and fixed points.
Curl in 3D
Covers the concept of curl in 3D, a vector operator describing rotation.
Tensor Transformations
Introduces tensor transformations, rotation matrices, and differential operators in mechanics.
Acceleration and Rotation
Explores acceleration derivation, vector rotation, and coordinate systems in rotational motion.
Isometries in Euclidean Spaces
Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.
Solid Mechanics: Motion Analysis
Explores the analysis of motion in solid mechanics, covering velocity, acceleration, and kinematics of solid bodies.
Curve Integrals of Vector Fields
Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.
Base Change for Rotation: Example
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