Session Overview
Covered this week: Spinning tops are an example of a rotating rigid body often used as a children’s toy. Image courtesy of Sean Dreilinger on Flickr. |
Assignments
Problems and Concept Questions
Each problem set has concept questions paired with most problems. Answers to the concept questions are handed in before the overall problem set is due. You should therefore answer the concept questions in each problem set while watching the video lectures for the week. Then, use the Concept Question Answer Key (below in the Check Yourself section) to check your work before continuing to work on the problem set.
Please note that if your answer to the concept question is incorrect, it is likely that you may start down an unproductive pathway to a solution. Try to fully understand the answer to the concept question before you begin the regular problem.
Videos
Lecture Videos
- Watch
Lecture 11: Mass Moment of Inertia of Rigid Bodies
Lecture 11: Mass Moment of Inertia of Rigid Bodies
> Download from iTunes U (MP4 - 228MB)
> Download from Internet Archive (MP4 - 228MB)
- Video Chapters
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Definition of moment of inertia matrix
Definition of moment of inertia matrix
> Download from iTunes U (MP4 - 228MB)
> Download from Internet Archive (MP4 - 228MB)
- Principle axes and symmetry rules
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Example computation of Izz for a disk
Example computation of Izz for a disk
> Download from iTunes U (MP4 - 228MB)
> Download from Internet Archive (MP4 - 228MB)
- Parallel axis theorem
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Definition of moment of inertia matrix
- Video Chapters
- Watch
Lecture 12: Problem Solving Methods for Rotating Rigid Bodies
Lecture 12: Problem Solving Methods for Rotating Rigid Bodies
> Download from iTunes U (MP4 - 230MB)
> Download from Internet Archive (MP4 - 230MB)
- Video Chapters
- Four classes of rotational problems
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Class 1: Rotation about fixed axis through center of mass
Class 1: Rotation about fixed axis through center of mass
> Download from iTunes U (MP4 - 230MB)
> Download from Internet Archive (MP4 - 230MB)
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Class 2: Fixed axis rotation not through center of mass-pendulum example
Class 2: Fixed axis rotation not through center of mass-pendulum example
> Download from iTunes U (MP4 - 230MB)
> Download from Internet Archive (MP4 - 230MB)
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Class 3: Unconstrained motion about center of mass-hockey puck example
Class 3: Unconstrained motion about center of mass-hockey puck example
> Download from iTunes U (MP4 - 230MB)
> Download from Internet Archive (MP4 - 230MB)
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Equivalent forces and moments acting only upon the center of mass
Equivalent forces and moments acting only upon the center of mass
> Download from iTunes U (MP4 - 230MB)
> Download from Internet Archive (MP4 - 230MB)
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Class 4: Rotation about moving points; H/A alternative formulation in terms of H/G
Class 4: Rotation about moving points; H/A alternative formulation in terms of H/G
> Download from iTunes U (MP4 - 230MB)
> Download from Internet Archive (MP4 - 230MB)
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Class 4 example of the pipe rolling on a truck bed
Class 4 example of the pipe rolling on a truck bed
> Download from iTunes U (MP4 - 230MB)
> Download from Internet Archive (MP4 - 230MB)
- Video Chapters
Recitation Video and Notes
- Watch
Recitation 6: Angular Momentum and Torque
Recitation 6: Angular Momentum and Torque
> Download from iTunes U (MP4 - 107MB)
> Download from Internet Archive (MP4 - 107MB)
- This recitation includes a concept review for the week, problems with the axis of spin on and not on the principal axis, and a discussion on finding the derivative of a rotating vector. The class concludes with a review of Quiz 1.
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Recitation 6 Notes: Moment of Inertia and Imbalance, Rotating Slender Rod (PDF - 1.1MB)
- These recitation notes were compiled by Prof. David Gossard, another instructor for the course. His notes go over concepts and problems covered during the recitation sections he taught, and may not precisely correspond to the content covered in the above recitation video.
Check Yourself
Concept Question Answer Key and Problem Set Solutions
The solutions are presented in two files, one with the answers to the concept questions, and one with solutions and in-depth explanations for the problems. Work the problems on your own and check your answers when you're done.
- Problem Set 5: Concept Question Answer Key (PDF)
- Problem Set 5: Problem Solutions and Explanations (PDF)
Looking for something specific in this course? The Resource Index compiles links to most course resources in a single page.