Rotation in Two Dimensions

This lecture covers the concept of rotation in two dimensions, including the vector product, moment of a force, statics, theorem of angular momentum, and kinetic energy of a solid. The energy expressions for an undeformable solid and the relationship between center of mass and angular velocity are discussed. The lecture also explores the kinetic energy theorem for a solid, emphasizing the role of external forces and internal work. Practical examples, such as the internal friction in a rotating egg, illustrate the theoretical concepts. The lecture concludes with the derivation of the kinetic energy theorem, highlighting the importance of understanding internal and external forces in rotational motion.