Introduction to Mechanics
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
Notes: Rotation and Translation (PDF - 4.5MB)#
Suggested Textbook Reading (Optional)
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:
Download the complete lectures from this course:
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
Challenge Problems
Problem Solving Help
In the following videos Prof. Walter Lewin explains how to approach the Challenge Problems.
Help Session 1
Download this video:
» iTunes U (MP4 - 37MB)
» Internet Archive (MP4 - 37MB)
Help Session 2
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» iTunes U (MP4 - 20MB)
» Internet Archive (MP4 - 20MB)
Help Session 3
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» iTunes U (MP4 - 26MB)
» Internet Archive (MP4 - 26MB)
Help Session 4
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» iTunes U (MP4 - 65MB)
» Internet Archive (MP4 - 65MB)
Help Session 5
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» iTunes U (MP4 - 32MB)
» Internet Archive (MP4 - 32MB)
Help Session 6
Download this video:
» iTunes U (MP4 - 78MB)
» Internet Archive (MP4 - 78MB)
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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