▶Japanese
Post to SNS
- Home
- > Liberal arts and basic science courses
- > Basic science and technology courses
- > Fundamentals of Mechanics 1
- School of Science
-
School of Engineering
- Undergraduate major in Mechanical Engineering
- Undergraduate major in Systems and Control Engineering
- Undergraduate major in Electrical and Electronic Engineering
- Undergraduate major in Information and Communications Engineering
- Undergraduate major in Industrial Engineering and Economics
- Common courses
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
- School of Environment and Society
- 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)
- Watabiki Yoshiyuki
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Fri3-4(H103)
- Group
- N
- Course number
- LAS.P101
- Credits
- 1
- Academic year
- 2016
- Offered quarter
- 1Q
- Syllabus updated
- 2016/4/27
- Lecture notes updated
- -
- 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 | Introduction to the differential and integral calculus Introduction to the linear algebra | Understand the differential and integral calculus at high school level, and the Taylor expansion. Understand the three-dimansional internal product and external product. |
| Class 2 | Introduction to the partial differential calculus Two-dimentional coordinates Three-dimensional coordinates Elementary continuous group | Understand the partial differential calculus which is understandable at high school level. Understand the two-dimensional Cartesian coordinates, the polar coordinates. Understand the three-dimensional Cartesian coordinates, the spherical coordinates. Understand the translation, the rotation. |
| Class 3 | Position, velocity, accelaration Equations of motion | Understad the position, the velocity, the accelaration rom the viewpoint of the calculus. Understand the physical meaning of equations of motion. |
| Class 4 | Equations of motion and the symmetry of spacetime | Understand the relation between equations of motion and the symmetry of spacetime. |
| Class 5 | The inertia law and the symmetry of spacetime The relativity, the absolute time, Galilei transformation | Understand the relation between the inertia law and the symmetry of spacetime. Understand the relativity, the absolute time, Galilei transformation. |
| Class 6 | The relativity of collision The mass conservation law, the momentum conservation law | Understand the relativity of collision. Understand the mass conservation law, the momentum conservation law. |
| Class 7 | The action-reaction law , Newton equation momentum, force | Understand the action-reaction law , Newton equation. Understand momentum, force. |
| Class 8 | Newton's law of universal gravitation and planetary motion (Kepler’s laws) | Explain the motion of a particle under universal gravitation and Kepler’s laws of planetary motion. |
Textbook(s)
None
Reference books, course materials, etc.
None
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.
