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- School of Science
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School of Engineering
- Undergraduate major in Mechanical Engineering
- Undergraduate major in Systems and Control Engineering
- Undergraduate major in Electrical and Electronic Engineering
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- Common courses
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and 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.P101
- Credits
- 1
- Academic year
- 2016
- Offered quarter
- 1Q
- Syllabus updated
- 2016/4/27
- Lecture notes updated
- 2016/5/24
- Language used
- Japanese
- Access Index
-
Course description and aims
The course teaches the fundamentals of particle motion starting with the equations of motion that describe the motion of an object.
Mechanics is important for understanding nature, and is essential for the study of science, engineering, life sciences, and other specialized courses. Students will learn the laws of motion and the mathematical description of motion. This will allow them to understand particle mechanics and they will be able to solve most general problems in mechanics.
Student learning outcomes
By completing this course, students will be able to:
1) Understand the concepts of velocity, acceleration, force, momentum, angular momentum, torque, work, energy, etc., correctly, and describe them mathematically.
2) Understand the laws of motion — the laws of conservation of momentum, angular momentum, and energy that are derived from the laws of motion — correctly, and solve actual mechanical problems by applying these laws.
3) Find mathematical solutions to problems in mechanics, expressed by the appropriate equations, and explain the physical meaning of said solutions.
Keywords
position, velocity, acceleration, momentum, force, laws of motion, law of conservation of momentum, free fall, simple harmonic motion, parabolic motion, work, kinetic energy, potential energy, law of conservation of energy, central force, angular momentum, torque, law of conservation of angular momentum, universal gravitation, Kepler's laws
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 | Description of motion (coordinate system, velocity and acceleration, unit and dimension) | Explain position, velocity and acceleration as well as their relationship. |
| Class 2 | Newton's three laws of motion (law of inertia, equation of motion, law of action and reaction, motion under uniform gravity) | Explain Newton's three laws of motion and solve motion of a point mass under uniform gravity. |
| Class 3 | Viscous force and solution of ordinary differential equations | Explain how to solve linear ordinary differential equations with constant coefficients generally. |
| Class 4 | Harmonic oscillator (simple, damped and driven oscillation) | Derive simple oscillation, damped oscillation and driven oscillation of a harmonic oscillator. |
| Class 5 | Constrained motion (normal force, tension, frictional force, simple pendulum) | Explain normal force, tension and frictional force, and solve motion of a simple pendulum. |
| Class 6 | Work and energy (kinetic energy, conservative force and potential energy, law of conservation of energy) | Explain the concepts of work, kinetic energy and potential energy, as well as the law of conservation of energy. |
| Class 7 | Planetary motion 1 (Kepler's laws, law of universal gravitation, angular momentum) | Explain the relationship between central force and conservation of angular momentum, and derive Kepler's second law. |
| Class 8 | Planetary motion 2 (derivation of Kepler's laws) | Derive Kepler's first and third laws. |
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.
