Rotations and the Parallel Axis Theorem - Lecture 10

Delve into the second part of a comprehensive lecture on rotations, focusing on the Parallel Axis Theorem and its applications in rigid body rotation problems. Explore the moment of inertia of a disk as a practical demonstration of this theorem. Examine angular momentum and angular velocity through various problem-solving scenarios. Learn how to derive total kinetic energy equations for systems of masses and understand the effect of rotational kinetic energy on translational motion. Work through example problems involving torque on a disk, rotating and translating pulleys, and systems with conserved angular momentum. Conclude with a real-world application of angular momentum changes in a spinning ballerina. This 75-minute lecture is part of Yale University's Fundamentals of Physics course, offering in-depth insights into mechanics, relativity, and thermodynamics.

- Chapter 1. Review and Derive the Parallel Axis Theorem.
- Chapter 2. For System of Masses: Derive KEtotal = ½ MV2 + ½ ICM2.
- Chapter 3. Derive KEtotal in Terms of Equivalent Rotation about Stationary Point.
- Chapter 4. Effect of Rotational Kinetic Energy on Translational Motion for No Skid.
- Chapter 5. Example Problem: Torque on a Disk.
- Chapter 6. Advanced Example Problem: Pulley Rotating and Translating.
- Chapter 7. Example Problem: Systems with Angular Moment Conserved.
- Chapter 8. Application: Angular Momentum Changes for Spinning Ballerina.