This course will provide students with the fundamental knowledge of rigid body (rigid-object) dynamics required to solve mechanical
engineering problems. A real solid object which has a size and particular shape is not point-like particle, and we need to
apply the concepts of the rigid body to a variety of real world engineering problems.
The motion of a rigid body consists of a translation of the center of mass and a rotation about the center of mass. To examine the latter motion, we will introduce the physical quantities associated with rotations: angular momentum, torque and moment of inertia. We then address deriving the relationship between torque and time rate of change of angular momentum. Leaners are expected to be comfortable with philosophy of Newtonian mechanics.
The motion of a rigid body consists of a translation of the center of mass and a rotation about the center of mass. To examine the latter motion, we will introduce the physical quantities associated with rotations: angular momentum, torque and moment of inertia. We then address deriving the relationship between torque and time rate of change of angular momentum. Leaners are expected to be comfortable with philosophy of Newtonian mechanics.
The specific purpose of the class is to develop the ability to use the equation of motion of a rigid body in solving engineering
applications.
- Students will be able to understand the physical meaning of an angular momentum of the object, and to calculate it with respect to any point.
- Students will be able to understand the physical meaning of the conservation law of angular momentum, and to use them to determine a motion of objects.
- Students will be able to understand the physical meaning of a moment of inertia and to calculate the moment of inertia of objects with simple geometry.
- Students will be able to formulate the rotational equation for the rigid-object about a fixed axis, and to determine a planar rotational motion of the rigid-object about the fixed axis.
- Students will be able to formulate the governing equations for the rigid-object motion and to use them to determine a planar motion of the rigid-object.
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | Mechanics of rigid bodies | textbook section 2 | 60minutes |
| - Review the today's lesson by watching lecture video | 60minutes | ||
| 2. | Mechanics of rigid bodies (exercises) | textbook section 2 | 90minutes |
| - Review the today's problem sets. | 90minutes | ||
| 3. | Center of mass of a rigid body | textbook section 3 | 90minutes |
| - Review the today's lesson by watching lecture video | 90minutes | ||
| 4. | Center of mass of a rigid body (exercise) | textbook section 3 | 90minutes |
| - Review the today's problem sets. | 90minutes | ||
| 5. | Moment of inertia - Definition of the moment of inertia and its physical meaning |
textbook section 6 | 180minutes |
| - Review the today's lesson by watching lecture video | 90minutes | ||
| 6. | Moment of inertia (exercise) - Definition of the moment of inertia and its physical meaning |
textbook section 6 | 120minutes |
| - Review the today's problem sets. | 60minutes | ||
| 7. | Friction - Friction in wedges - Friction in belt - Rolling resistance |
textbook section | 90minutes |
| - Review the today's lesson by watching lecture video | 90minutes | ||
| 8. | Friction (exercise) - Friction in wedges - Friction in belt - Rolling resistance |
textbook section 7 | 120minutes |
| - Review the today's problem sets. | 60minutes | ||
| 9. | Kinematics of Machinery - work and energy - efficiency of a machine |
textbook section 8 | 90minutes |
| - Review the today's lesson by watching lecture video | 90minutes | ||
| 10. | Kinematics of Machinery (exercise) - work and energy - efficiency of a machine |
textbook section 8 | 120minutes |
| - Review the today's problem sets. | 60minutes | ||
| 11. | Balancing - Static and dynamic balancing - Single and several masses in the same plane - Single and several masses in different planes |
textbook section 11 | 90minutes |
| - Review the today's lesson by watching lecture video | 90minutes | ||
| 12. | Balancing (exercise) - Static and dynamic balancing - Single and several masses in the same plane - Single and several masses in different planes |
textbook section 11 | 120minutes |
| - Review the today's problem sets. | 60minutes | ||
| 13. | review | Review the week 1 to 12 | 120minutes |
| - Review the today's lesson by watching lecture video | 60minutes | ||
| 14. | Course summary (exercise) | - Review the lesson 1-13 | 180minutes |
| - Review the term-end exercise | 100minutes | ||
| Total. | - | - | 2650minutes |
| Assignments | Total. | |
|---|---|---|
| 1. | 23% | 23% |
| 2. | 23% | 23% |
| 3. | 14% | 14% |
| 4. | 20% | 20% |
| 5. | 20% | 20% |
| Total. | 100% | - |
Grades will be based on the following items:
• Class activities (quizzes, in-class assignments) and homework assignments : 100 points
You need to earn more than 60 points to pass the course.
If you understand what is written in a textbook and if you can solve questions in a textbook,
you probably can get 60 points in a final score.
• Class activities (quizzes, in-class assignments) and homework assignments : 100 points
You need to earn more than 60 points to pass the course.
If you understand what is written in a textbook and if you can solve questions in a textbook,
you probably can get 60 points in a final score.
Download the course material from following web page:
https://scomb.shibaura-it.ac.jp/
https://scomb.shibaura-it.ac.jp/
Students are expected to be comfortable with the material from the following subjects:
- Fundamentals of Engineering Mechanics 1
- Practice in Engineering Analysis
- Fundamentals of Engineering Mechanics 1
- Practice in Engineering Analysis
- Every Thursday, 16:50-17:50 at Omiya campus
- Non-social and professional independence development course
- Course that cultivates an ability for utilizing knowledge
- Course that cultivates a basic problem-solving skills
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| N/A | N/A |
Last modified : Fri Mar 18 23:17:19 JST 2022