# 27. Two-Dimensional Rotation and Translation Dynamics

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## Learning Objectives

• Analyze the motion of a rigid body using a systematic methodology involving torque and rate of change of angular momentum. Recognize the analogy to the methodology of solving problems involving force and acceleration.
• Be able to apply and solve rotational equations of motion to objects whose motion involves acceleration of center of mass, such as a yo-yo rolling on a table, or a rigid cylinder rolling down an inclined plane.
• Be able to apply the conservation of angular momentum to solve problems involving rotation and translation of rigid objects.

## Preparation

### Course Notes

Chapter 10.3. Young, Hugh D., Roger A. Freedman, and A. Lewis Ford. Sears and Zemansky's University Physics: with Modern Physics. 12th ed. San Francisco, CA: Addison-Wesley, 2007. ISBN: 9780805321876.

## Lecture Video

### Video Excerpts

Watch the following excerpts from the Physics I lecture videos:

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## Learning Activities

### Guided Activities

Read through the class slides carefully. They explain all of the concepts from the module.

Slides: Two-Dimensional Rotation and Translation Dynamics (PDF - 1.1MB)

### Self-Assessment

Do the Concept Questions first to make sure you understand the main concepts from this module. Then, when you are ready, try the Challenge Problems. If you are struggling with the Challenge Problems, watch the Homework Help Session videos, which will give you tips on how to tackle problems of this type.

### Concept Questions

Concept Questions (PDF)

Solutions (PDF)

### Challenge Problems

Challenge Problems (PDF)

Solutions (PDF - 2.7MB)

## Problem Solving Help

In the following videos Prof. Walter Lewin explains how to approach the Challenge Problems.

### Help Session 1

{'English - US': '/courses/physics/8-01sc-physics-i-classical-mechanics-fall-2010/rotation-and-translation/two-dimensional-rotation-and-translation-dynamics/help-session-1/W6dBTiQXO44.srt'}

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### Help Session 2

{'English - US': '/courses/physics/8-01sc-physics-i-classical-mechanics-fall-2010/rotation-and-translation/two-dimensional-rotation-and-translation-dynamics/help-session-2/bE67z8cuqXk.srt'}

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### Help Session 3

{'English - US': '/courses/physics/8-01sc-physics-i-classical-mechanics-fall-2010/rotation-and-translation/two-dimensional-rotation-and-translation-dynamics/help-session-3/JQCU0fFgC4k.srt'}

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### Help Session 4

{'English - US': '/courses/physics/8-01sc-physics-i-classical-mechanics-fall-2010/rotation-and-translation/two-dimensional-rotation-and-translation-dynamics/help-session-4/v3OkjgTSObo.srt'}

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### Help Session 5

{'English - US': '/courses/physics/8-01sc-physics-i-classical-mechanics-fall-2010/rotation-and-translation/two-dimensional-rotation-and-translation-dynamics/help-session-5/cKN-HOOQrhE.srt'}

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### Help Session 6

{'English - US': '/courses/physics/8-01sc-physics-i-classical-mechanics-fall-2010/rotation-and-translation/two-dimensional-rotation-and-translation-dynamics/help-session-6/8oaRJ8buOLA.srt'}

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## Related Resources

There are countless resources available online to help you learn physics. Try these:

• Read the Physics material on Connexions:
• Read through the materials on HyperPhysics:
• Learn about rolling without slipping from Dr. Richard Vawter at Western Washington University.

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