### 2020　Fundamental Kinematics and Kinetics for Mechanical Systems

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Undergraduate major in Systems and Control Engineering
Instructor(s)
Nakashima Motomu
Course component(s)
Lecture    (ZOOM)
Day/Period(Room No.)
Tue7-8(W932)  Fri7-8(W932)
Group
-
Course number
SCE.M201
Credits
2
2020
Offered quarter
1Q
Syllabus updated
2020/9/18
Lecture notes updated
-
Language used
Japanese
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### Course description and aims

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.

### Student learning outcomes

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 that will be developed

 ✔ 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/Required learning

Course schedule Required learning
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

### Out-of-Class Study Time (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)

N/A

### Assessment criteria and methods

Students' knowledge of kinematics and kinetics to analyze various physical systems such as mechanical systems, and their ability to apply them toproblems will be assessed. Exercise problems 70%, final report 30%.

### Related courses

• LAS.P101 ： Fundamentals of Mechanics 1
• LAS.P102 ： Fundamentals of Mechanics 2

### Prerequisites (i.e., required knowledge, skills, courses, etc.)

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.