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PHYS 200 - Fundamentals of Physics I

Lecture 10 - Rotations, Part II: Parallel Axis Theorem. Part II of Rotations. The lecture begins with an explanation of the Parallel Axis Theorem and how it is applied in problems concerning rotation of rigid bodies. The moment of inertia of a disk is discussed as a demonstration of the theorem. Angular momentum and angular velocity are examined in a variety of problems. (from oyc.yale.edu)

Lecture 10 - Rotations, Part II: Parallel Axis Theorem

Time Lecture Chapters
[00:00:00] 1. Review and Derive the Parallel Axis Theorem
[00:16:27] 2. For System of Masses: Derive KEtotal = 1/2 MV2 + 1/2 ICM2
[00:27:55] 3. Derive KEtotal in Terms of Equivalent Rotation about Stationary Point
[00:38:40] 4. Effect of Rotational Kinetic Energy on Translational Motion for No Skid
[00:43:41] 5. Example Problem: Torque on a Disk
[00:49:30] 6. Advanced Example Problem: Pulley Rotating and Translating
[01:02:14] 7. Example Problem: Systems with Angular Momentum Conserved
[01:09:09] 8. Application: Angular Momentum Changes for Spinning Ballerina

References
PHYS 200: Lecture 10 - Rotations, Part II: Parallel Axis Theorem
Instructor: Professor Ramamurti Shankar. Resources: Problem Set 6 and Solutions [pdf]. Angular Momentum Notes [pdf]. Transcript [html]. Audio [mp3]. Download Video [mov].

Go to the Course Home or watch other lectures:

Lecture 01 - Course Introduction and Newtonian Mechanics
Lecture 02 - Vectors in Multiple Dimensions
Lecture 03 - Newton's Laws of Motion
Lecture 04 - Newton's Laws (cont.) and Inclined Planes
Lecture 05 - Work-Energy Theorem and Law of Conservation of Energy
Lecture 06 - Law of Conservation of Energy in Higher Dimensions
Lecture 07 - Kepler's Laws
Lecture 08 - Dynamics of a Multiple-body System and Law of Conservation of Momentum
Lecture 09 - Rotations, Part I: Dynamics of Rigid Bodies
Lecture 10 - Rotations, Part II: Parallel Axis Theorem
Lecture 11 - Torque
Lecture 12 - Introduction to Relativity
Lecture 13 - Lorentz Transformation
Lecture 14 - Introduction to the Four-Vector
Lecture 15 - Four-Vector in Relativity
Lecture 16 - The Taylor Series and Other Mathematical Concepts
Lecture 17 - Simple Harmonic Motion
Lecture 18 - Simple Harmonic Motion (cont.) and Introduction to Waves
Lecture 19 - Waves
Lecture 20 - Fluid Dynamics and Statics and Bernoulli's Equation
Lecture 21 - Thermodynamics
Lecture 22 - The Boltzmann Constant and First Law of Thermodynamics
Lecture 23 - The Second Law of Thermodynamics and Carnot's Engine
Lecture 24 - The Second Law of Thermodynamics (cont.) and Entropy