### 2019　Engineering Mechanics A

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Instructor(s)
Okuma Masaaki  Okada Masafumi  Yoshioka Hayato
Course component(s)
Lecture
Day/Period(Room No.)
Wed1-4(I121)
Group
A
Course number
MEC.A201
Credits
2
2019
Offered quarter
1Q
Syllabus updated
2019/6/27
Lecture notes updated
-
Language used
Japanese
Access Index ### Course description and aims

This course is mainly for students who have selected the field of mechanical engineering (Department of Mechanical Engineering) and lectures on the following points as an introductory course to various applied mechanics in the field.
1. Statics (mass point, rigid body, moment of a force, etc.)
2. Dynamics of a mass point (relative motion, Coriolis acceleration, etc.)
3. Dynamics of a rigid body (moment of inertia, angular momentum, tensor of inertia, gyroscopic effect, etc.)
The notable aim of this course is to reinforce the understanding gained in Fundamentals of Mechanics, a first-year general education course, and for students to gain ability in solving specific mechanics problems in theory and by numerical calculation as students of mechanical engineering for whom mechanics is especially vital.

### Student learning outcomes

1. Statics: To understand force and moment that works on a point mass or rigid body.
2. Dynamics1: To understand relative motion, relative and Coriolis acceleration.
3. Dynamics2: To understancd inertia moment of a rigid body.
4. Dynamics3: To introduce Euler's formula of dynamics based on angular momentum and inertia tensor. And to understand gyro effect.

This class aims at learning of 1 in learning objective.

### Keywords

Statics, Truss and rahmen, motion of a mass point, motion of a rigid body

### Competencies that will be developed

 Intercultural skills Communication skills ✔ Specialist skills Critical thinking skills ✔ Practical and/or problem-solving skills

### Class flow

This course consists of lectures including exercise problems.

### Course schedule/Required learning

Course schedule Required learning
Class 1 Force acting on a mass point, and the balance of force Express force by vector, and compose and decompose force.
Class 2 Force acting on a rigid body, and the balance of force Learn the moment of force. Compose and decompose of force.
Class 3 Basic analysis of truss by means of the balance of force Calculate the load applied to truss elements.
Class 4 Basic analysis of truss by means of the principle of the virtual work Understand the principle of the virtual work, and analyze truss based on the principle.
Class 5 Relative motion (part 1): in two-dimensional rotary coordinate system Understand the expression of relative motion in two-dimensional rotary coordinate systems.
Class 6 Relative motion (2): in three-dimensional rotary coordinate system Understand the expression of relative motion in three-dimensional rotary coordinate systems.
Class 7 Motion of rigid body (part 1): Expression of motion, and the moment of inertia (part1) Calculate the moment of inertia, and understand how to express the motion of a rigid body.
Class 8 Motion of rigid body (part 2): The theorem of the parallel axis Understand the theorem.
Class 9 Motion of rigid body (part 3): Tensor of inertia Understand the tensor of inertia.
Class 10 Motion of rigid body (part 4):The inertial ellipse body and the principal axes of the moment of inertia Understand the concept of the inertial ellipse body and the principal axes of the moment of inertia
Class 11 Motion of rigid body (part 5): Angular momentum and kinetic energy Understand angular momentum of inertia and kinetic energy.
Class 12 Motion of rigid body (part 6): coordinate transformation Be able to transform between two coordinate systems.
Class 13 Motion of rigid body (part 7): the vector expression of angular velocity Understand the vector expression of angular velocity.
Class 14 Euler equations of motion. Learn Euler equations of motion.
Class 15 The gyroidal effect Understand the gyroidal effect and express it mathematically.

### Assessment criteria and methods

To be evaluated based on the final exam.

### Related courses

• LAS.P101 ： Fundamentals of Mechanics 1
• LAS.P102 ： Fundamentals of Mechanics 2
• MEC.I211 ： Robot Kinematics
• MEC.D201 ： Mechanical Vibrations
• MEC.C331 ： Strength and Fracture of Materials (Mechanical Engineering)
• MEC.H432 ： Multibody Systems
• MEC.J311 ： Fundamentals of Precision Machinery
• LAS.M106 ： Linear Algebra II

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

You have to completed 'Fundamentals of mechanics 1 and 2' , or have equivalent knowledge.
Moreover, you have to have knowledge of Linear Algebra II (eigen value, eigen vector). 