Center of Mass and Barycentric Coordinates - Wild Linear Algebra A

Center of Mass and Barycentric Coordinates - Wild Linear Algebra A

Explore applications of vectors in physics and mathematics in this 48-minute lecture from the Wild Linear Algebra series. Delve into force, velocity, and acceleration concepts, examining Newton's laws and their implications. Engage with interactive games like the Racetrack and Trajectory games to visualize motion in a grid plane. Investigate the center of mass, Archimedes' principle of the lever, and barycentric coordinates. Learn how to break vectors into perpendicular components and solve practical exercises. Discover the connection between balance and affine combinations, and analyze examples involving coplanar masses from both geometric and vector perspectives.