Session Overview
Covered this week: A male gymnast completes a complicated move involving simultaneous rotation and translation. Image courtesy of Singapore 2010 Youth Olympic Games. |
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.
Suggested Reading
- [Hibbeler] sections sections 12.7, 12.8, 13.5–13.7, 16.7, 16.8.
Videos
Lecture Videos
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Watch
Lecture 3: Motion of Center of Mass; Acceleration in Rotating Ref. Frames
Lecture 3: Motion of Center of Mass; Acceleration in Rotating Ref. Frames
> Download from iTunes U (MP4 - 240MB)
> Download from Internet Archive (MP4 - 240MB)
- Chapters
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Problem solving with an example of a block on a slope
Problem solving with an example of a block on a slope
> Download from iTunes U (MP4 - 240MB)
> Download from Internet Archive (MP4 - 240MB)
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Newton's 3rd law recap and application to rigid bodies
Newton's 3rd law recap and application to rigid bodies
> Download from iTunes U (MP4 - 240MB)
> Download from Internet Archive (MP4 - 240MB)
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Kinematics: in translating and rotating frames
Kinematics: in translating and rotating frames
> Download from iTunes U (MP4 - 240MB)
> Download from Internet Archive (MP4 - 240MB)
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Derivative of a rotating vector in cylindrical coordinates
Kinematics: derivative of a rotating vector in cylindrical coordinates
> Download from iTunes U (MP4 - 240MB)
> Download from Internet Archive (MP4 - 240MB)
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Problem solving with an example of a block on a slope
- Chapters
- Watch
Lecture 4: Movement of a Particle in Circular Motion w/ Polar Coordinates
Lecture 4: Movement of a Particle in Circular Motion w/ Polar Coordinates
> Download from iTunes U (MP4 - 182MB)
> Download from Internet Archive (MP4 - 182MB)
- Chapters
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Vector form of velocity and acceleration in a translating and rotating coordinate system in general and expressed in polar and cylindrical coordinates
Vector form of velocity and acceleration in a translating and rotating coordinate system and the expression of them in polar and cylindrical coordinates
> Download from iTunes U (MP4 - 182MB)
> Download from Internet Archive (MP4 - 182MB)
- Two examples using polar coordinates
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Angular momentum of a particle, torque as the time rate of change of angular momentum, and the appearance of the coriolis force
Angular momentum of a particle, torque as the time rate of change of angular momentum, and the appearance of the coriolis force
> Download from iTunes U (MP4 - 182MB)
> Download from Internet Archive (MP4 - 182MB)
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Candy shooter example of coriolis force done in polar coordinates
Candy shooter example of coriolis force done in polar coordinates
> Download from iTunes U (MP4 - 182MB)
> Download from Internet Archive (MP4 - 182MB)
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Definition of normal and tangential coordinates
Definition of normal and tangential coordinates
> Download from iTunes U (MP4 - 182MB)
> Download from Internet Archive (MP4 - 182MB)
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Vector form of velocity and acceleration in a translating and rotating coordinate system in general and expressed in polar and cylindrical coordinates
- Chapters
Recitation Video and Notes
- Watch
Notation Systems
Notation Systems
> Download from iTunes U (MP4 - 20MB)
> Download from Internet Archive (MP4 - 20MB)
- Recitation 2 uses a different notation system than used in Lectures 1 through 4. Please watch this video to see how the two notation systems interrelate.
- Watch
Recitation 2: Velocity and Acceleration in Translating and Rotating Frames
Recitation 2: Velocity and Acceleration in Translating and Rotating Frames
> Download from iTunes U (MP4 - 151MB)
> Download from Internet Archive (MP4 - 151MB)
- This recitation includes a concept review for the week and covers an amusement park ride problem with velocity in translating and rotating frames. The class also covers questions regarding planar motion problems.
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Recitation 2 Notes: Planar Motion (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 2: Concept Question Answer Key (PDF)
- Problem Set 2: Problem Solutions and Explanations (PDF)