Inertia Tensor and Rotational Dynamics

This lecture covers the concept of inertia tensor, main axes of inertia, and rotational dynamics of solids. Starting with the definition of the inertia tensor and main axes of inertia, the lecture progresses to discuss the moments of inertia with respect to different axes. The instructor explains how to find the main axes of inertia for various solid shapes and demonstrates the application of balancing rotating solids. Additionally, the lecture delves into Steiner's theorem for calculating moments of inertia and the kinetic energy of rotating solids. Special cases of homogeneous cylinders and the dynamics of cylinders rolling without sliding are also explored.