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School of Engineering
- Undergraduate major in Mechanical Engineering
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- School of Materials and Chemical Technology
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- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
- First-Year Courses
- School of Science
- School of Engineering
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
-
School of Environment and Society
- Department of Architecture and Building Engineering
- Department of Civil and Environmental Engineering
- Department of Transdisciplinary Science and Engineering
- Department of Social and Human Sciences
- Department of Innovation Science
- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Basic science and technology courses
- Instructor(s)
- Takeuchi Kazumasa
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Tue3-4(H135)
- Group
- F
- Course number
- LAS.P102
- Credits
- 1
- Academic year
- 2016
- Offered quarter
- 2Q
- Syllabus updated
- 2017/1/11
- Lecture notes updated
- 2016/7/25
- Language used
- Japanese
- Access Index
-
Course description and aims
Following Fundamentals of Mechanics 1, this course teaches particle motion observed in a coordinate system undergoing acceleration as well as the mechanics of systems of interacting particles and rigid bodies (defined as systems of particles in which the distances between particles is fixed).
Mechanics is important for understanding nature, and is essential for the study of science, engineering, life sciences, and other specialized courses. On the basis of the mechanics of single particle, students will learn particle motion in coordinate systems undergoing accelerated motion as well as inertial forces. Moreover, students will learn the mechanics of systems of interacting particles, as well as the motion and balance of rigid bodies. From this, students will be able to solve general problems in mechanics.
Student learning outcomes
By completing this course, students will be able to:
1) Understand the concepts of inertial forces (Coriolis force and centrifugal force) correctly, and describe them mathematically.
2) Understand the concepts of momentum, angular momentum, energy, etc. in systems of particles and the center of mass, moment of inertia, etc. in rigid bodies, correctly, and describe them mathematically.
3) Understand motion and equilibrium of rigid bodies correctly, and solve actual mechanical problems by applying the appropriate mathematical formulas.
4) Find mathematical solutions to problems in mechanics, expressed by the appropriate equations, and explain the physical meaning of said solutions.
Keywords
coordinate transform, inertial force, Coriolis force, centrifugal force, relative coordinates, reduced mass, center of mass, momentum, angular momentum, energy, rigid body, equilibrium, moment of inertia
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Class flow
Two-thirds of each class are devoted to fundamentals and the rest to advanced content or application. To allow students to get a good understanding of the course contents and practice application, problems related to the contents of this course are provided in Exercises in Physics I.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Coordinate transformation and inertial force (translation, rotation, inertial force, centrifugal force, Coriolis force) | Explain coordinate transformation to a rotating frame and derive centrifugal force and Coriolis force. |
| Class 2 | System of particles (laws of conservation of momentum and angular momentum, center of mass) | Explain the laws of conservation of momentum and angular momentum for a system of particles. |
| Class 3 | Two-body system (collision, relative motion, reduced mass) | Describe motion of two particles and show how to decompose it into motion of the center of mass and relative motion of the particles. |
| Class 4 | Fundamentals of mechanics of rigid body (definition of rigid body, torque, equation of motion) | Explain the definition of rigid body and derive its equation of motion. |
| Class 5 | Motion of a rigid body (moment of inertia, rigid body pendulum, rolling motion) | Explain the concept of moment of inertia and solve motion of a rigid body pendulum as well as rolling motion of a rigid body. |
| Class 6 | Calculation of moments of inertia (parallel axis theorem, perpendicular axis theorem) | Find moments of inertia for various rigid body shapes. |
| Class 7 | Rotational motion of a rigid body (general rotational motion, precession) | Explain how to describe general rotational motion of a rigid body and solve precession. |
| Class 8 | Relationship between mechanics and thermodynamics and waves, energy utilization | Explain how heat and waves result from motion of molecules. |
Textbook(s)
Kunio Fujiwara, "Mechanics as an introduction to physics", Univ. of Tokyo Press.
Reference books, course materials, etc.
* Kiyoshi Kawamura, "Mechanics", Shokabo.
* Hal Tasaki, "Mathematics to study and enjoy physics", available online
http://www.gakushuin.ac.jp/~881791/mathbook
Assessment criteria and methods
Learning achievement is evaluated by a final exam.
Related courses
- LAS.P105 ： Exercises in Physics I
Prerequisites (i.e., required knowledge, skills, courses, etc.)
No prerequisites.
