Rigid body rotation and static equilibrium

This lecture covers topics related to rotational motion and static equilibrium, including concepts such as rotational kinetic energy, moment of inertia, torque, and the conditions for static equilibrium in rigid bodies. The instructor discusses the relationship between angular velocity, acceleration, and net force vectors, as well as the application of the right-hand rule in determining directions. Examples and demonstrations illustrate the principles of rolling without slipping, parallel axis theorem, and the transfer of energy between translation and rotation. The lecture also addresses Newton's laws for rotation about a fixed axis and the importance of torque in maintaining static equilibrium in solid bodies.