Lecture

Special Movements of Solids

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Covers the laws of transformation of speeds and accelerations, including the rotation of points and dynamic movement principles.

Explores rotation dynamics around a symmetry axis, covering angular momentum, center of mass theorem, and solid body movement.

Explores the dynamics of solid bodies, covering speed, acceleration, and rotation principles.

Explains the concept of the instantaneous center of rotation in solid mechanics and how to determine it based on known speeds of points.

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Explores the analysis of motion in solid mechanics, covering velocity, acceleration, and kinematics of solid bodies.

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

Explores statical determinacy, constraints, and rigid body motion analysis in structures.

Explores rotation in two dimensions, covering vector products, angular momentum, and kinetic energy of solids.

Analyzes angular speed of rotation, internal forces, vectors, and system transformation in a solid.

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

Covers the principles of system equilibrium in 3D and the calculation of resultant forces and couples.

Explores kinematics and dynamics of rigid bodies, including Euler angles and moment of inertia.

Covers the kinematics and dynamics of solids in rotation, focusing on velocity and acceleration in different points within a solid.

Explores the modern definition of symmetry and its practical applications.

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Explores equilibrium in three dimensions, emphasizing the importance of adequate constraints for static and kinematic determinacy.

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

Explores acceleration derivation, vector rotation, and coordinate systems in rotational motion.

Explores the mechanics of a dumbbell system on a frictionless surface, covering kinematics, forces, dynamics, and equilibrium conditions.