Lectures related to Vectors and Kinematics

Introduces vector definitions, displacement, addition, and applications in geometry.

Kirchhoff Rods: Kinematics and Twisted Solutions

Explores the kinematics of 3D structures and twisted solutions in rod mechanics, including the mechanics of knots.

Continuum Mechanics: Theory and Applications

Covers the basics of continuum mechanics, including constitutive laws, stress, dynamics, and fluid motion.

Delves into advanced physics concepts like uniform motion, vectors, and three-dimensional movement, with practical exercises on kinematics and coordinate systems.

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.

Kinematics: Deformation and Expansion

Explores kinematics of deformation, focusing on radial and linear expansion, torsion, and rotation by an angle.

Continuum Mechanics: Tensor Analysis and Kinematics

Covers tensor analysis, kinematics, and fluid mechanics in continuum mechanics.

Advanced Physics I

Explores kinematics, vectors, non-Cartesian coordinates, and the motion of charged particles in electric and magnetic fields.

Distributed Loads: Centroids and Centers of Mass

Discusses distributed loads, focusing on centroids and centers of mass in structural mechanics.

Coordinate Systems: Polar, Cylindrical, Spherical

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Motion in Two and Three Dimensions

Explores motion in two and three dimensions, gravity effects, and vector dot products.

Advanced Physics I: Kinematics and Vectors

Covers kinematics, vectors, and electromagnetic fields in advanced physics.

Analytical Geometry: Vectors

Introduces the basics of analytical geometry, emphasizing vector representation, operations, and applications in geometry.

Coordinate Systems: Cylindrical, Spherical, Rotations

Covers cylindrical and spherical coordinates, position, velocity, and acceleration vectors.

Decomposition of a Vector

Covers the decomposition of a vector in a base and its applications in speed and distance calculations.

Motion Analysis: Cartesian and Polar Coordinates

Covers the analysis of motion using Cartesian and polar coordinates, focusing on kinematics and acceleration components.

Kinematics: Position, Velocity, Acceleration

Covers the fundamental concepts of kinematics, including position, velocity, and acceleration in different coordinate systems.

Introduction and Historical Perspective, Vectors and Kinematics

Explores historical perspective, vectors, kinematics, and mathematical modeling of physical systems.

Orthogonality and Least Squares Method

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Ball Rolling on Hemisphere

Analyzes the motion of a ball on a hemisphere surface with forces and equations of motion.