Lectures related to Dynamics around an Axis: Moments and Inertia

Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.

Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.

Explains angular momentum for rotating solids and discusses symmetry in mass distribution.

Covers the concept of moment of inertia for solid rotation and its independence from movement and reference frame choice.

Covers advanced topics in rotational dynamics, including gyroscopic effects and solid body dynamics, with practical exercises and announcements.

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

Explores solid rotation, moment of inertia, and the Huygens-Steiner rule for parallel axes.

Explores the angular momentum theorem in gyroscope dynamics and symmetrical motion.

Explores the modern definition of symmetry and its practical applications.

Explores the comparison between the fall rates of a pendulum and a plank, discussing equations, moments of forces, and moment of inertia.

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

Covers variable mass systems, center of mass, and rotation concepts in advanced physics.

Delves into modern geometry, covering transformations, isometries, and symmetries.

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

Covers rotation, energy, shocks, and variable mass systems in advanced physics.

Covers gyroscopic effects and angular momentum in rotation dynamics.

Explains the calculation of angular momentum of a thin disk and forces in an accelerated frame.

Explores rotational motion, moment of inertia, torque, and static equilibrium in rigid bodies.

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Explains the calculation of moment of inertia for rotating objects.