Calculation of Moment of Inertia for Rotating Objects

This lecture covers the calculation of the moment of inertia for rotating objects, focusing on the tensor of inertia. The instructor explains the concepts using examples of wheels and discs, highlighting the distribution of mass and the importance of distance from the axis. The lecture delves into the symmetries of objects, the transformation of inertia tensors, and the application of the Steiner's theorem. The discussion extends to the relationship between moment of inertia and angular velocity, emphasizing the role of tensors in determining angular momentum. Various examples and demonstrations help in understanding the complex calculations involved in determining the moment of inertia for different objects.