2024 Faculty Courses School of Engineering Undergraduate major in Systems and Control Engineering
Fundamental Kinematics and Kinetics for Mechanical Systems
- Academic unit or major
- Undergraduate major in Systems and Control Engineering
- Instructor(s)
- Motomu Nakashima
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 7-8 Tue / 7-8 Fri
- Class
- -
- Course Code
- SCE.S204
- Number of credits
- 200
- Course offered
- 2024
- Offered quarter
- 1Q
- Syllabus updated
- Mar 17, 2025
- Language
- Japanese
Syllabus
Course overview and goals
This course focuses on the fundamental kinematics and kinetics to analyze various physical systems, such as mechanical systems. Topics include static mechanics of a point mass, kinetics of a point mass, mechanical work, momentum, mechanical energy, relative motion, moment of inertia, angular momentum, inertia tensor. The basic knowledge for these topics is explained.
It is indispensable to learn kinematics and kinetics for analyses in order to design various physical systems, such as mechanical systems. This course provides their basics which are applied to various mechanical design, such as robotics.
Course description and aims
By the end of this course, students will be able to:
1) Use the kinematics for analyses of various physical systems, such as mechanical systems.
1) Use the kinetics for analyses of various physical systems, such as mechanical systems.
Keywords
static mechanics of a point mass, kinetics of a point mass, mechanical work, momentum, mechanical energy, relative motion, moment of inertia, angular momentum, inertia tensor
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
At the beginning of each class, solutions to exercise problems that were assigned during the previous class arereviewed. Towards the end of class, students are given exercise problems related to the lecture given that day to solve.To prepare for class, students should read the course schedule section and check what topics will be covered.Required learning should be completed outside of the classroom for preparation and review purposes.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | The Newton's law, vectors in mechanics and its notation, static mechanics of a point mass, equilibrium of forces, free body diagram. | Can depict free body diagram |
| Class 2 | Static mechanics of a rigid body, equilibrium of forces, moment of force and caluculation of outer product, distributed loads and center of mass | Can explain distributed loads and center of mass |
| Class 3 | Kinematics of a point mass, vector of angular velocity, outer product | Can explain vector of angular velocity |
| Class 4 | Kinetics of a point mass, derivation of equations of motion | Can derive equations of motion |
| Class 5 | Kinetics of a point mass, derivation of equations of motion, method to solve simple differential equations | Can solve equations of motion in simple differential equation forms |
| Class 6 | Mechanical work, momentum, mechanical energy, two-body problem | Can solve two-body problem |
| Class 7 | Moving coordinate system, relative motion, coordinate transformation | Can explain coordinate transformation |
| Class 8 | Relative motion in a two-dimensional rotating coordinate system | Can explain relative motion in a two-dimensional rotating coordinate system |
| Class 9 | Relative motion in a three-dimensional rotating coordinate system | Can explain relative motion in a three-dimensional rotating coordinate system |
| Class 10 | Rigid body motion: representation of a rigid body motion, moment of inertia | Can explain moment of inertia |
| Class 11 | Rigid body motion: angular momentum, mechanical energy | Can explain mechanical energy |
| Class 12 | A rigid body in a three-dimesional space: inertia tensor | Can explain inertia tensor |
| Class 13 | Principal moments of inertia, principal axes of inertia | Can explain principal axes of inertia |
| Class 14 | Gyro effect, gyro rigidity | Can explain ｇyro effect |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
Masaaki Okuma, Shin-Kougyou Rikigaku, Suurikougaku-sha; ISBN: 4-901683-24-1.
(Japanese)
Reference books, course materials, etc.
N/A
Evaluation methods and criteria
Students' knowledge of kinematics and kinetics to analyze various physical systems such as mechanical systems, and their ability to apply them to problems will be assessed. Better score in the following two cases is taken as the final score: (1) final exam only (2) Exercise problems 50% and final exam 50%.
Related courses
- LAS.P101 ： Fundamentals of Mechanics 1
- LAS.P102 ： Fundamentals of Mechanics 2
Prerequisites
Since the contents of this course are mostly overlapped with "Engineering Mechanics A" in Major in Mechanical Engineering, it is not allowed for students in Major in Mechanical Engineering to take this course unless the student has a special reason.