Course title
3100410Q1
Fundamental Mechanics 2

INOUE Yoshiyuki
Middle-level Diploma Policy (mDP)
Program / Major mDP Goals
Mechatronics Course DP-1・3・1 自然科学、情報技術に関する基礎的知識を理解し、利用できる。
Purpose of class
In Fundamental Mechanics 1, students study the motion of a single-particle system. In Fundamental Mechanics 2, the aim is to understand the motion of extended bodies and systems consisting of multiple particles. More specifically, students deepen their understanding of important concepts such as the center of mass, angular momentum, moment of inertia, and inertial forces, and acquire the ability to describe and analyze the motion of many-particle systems and rigid bodies using equations. In addition, by learning the fundamentals of the mechanics of elastic bodies, students develop a basic understanding of the mechanical behavior of deformable objects.
Course description
Fundamental Mechanics 2 is a course that builds on Fundamental Mechanics 1, in which the mechanics of a single-particle system is studied, and extends the subject to the motion of many-particle systems, rigid bodies, and elastic bodies. The course also covers angular momentum and torque, which are essential for describing rotational motion, as well as inertial forces such as centrifugal force and Coriolis force. Through these topics, students learn how the concepts of mechanics can be applied to systems with spatial extent and gain a deeper understanding of various types of motion. The course is mainly conducted face-to-face, but online participation or on-demand materials may also be used when necessary. In such cases, students will be informed in advance.
Goals and objectives
  1. Students will be able to understand the concepts of angular momentum and torque, and apply them to concrete problems.
  2. Students will be able to understand the difference between internal and external forces, and derive the laws of motion for the center of mass and rotational motion from the equations of motion for many-particle systems and Newton’s third law.
  3. Students will be able to describe the motion of rigid bodies in terms of equations of motion and solve concrete problems using the moment of inertia.
Relationship between 'Goals and Objectives' and 'Course Outcomes'

Assignments in class Midterm examination Final examination Total.
1. 10% 15% 10% 35%
2. 10% 10% 15% 35%
3. 10% 5% 15% 30%
Total. 30% 30% 40% -
Evaluation method and criteria
Assignments in class 30%, midterm examination 30%, and final examination 40% will be used for the overall evaluation. Assignments in class will be evaluated through short exercises, quizzes, or reports related to each class. The midterm and final examinations will evaluate students’ understanding of the basic concepts covered in class and their ability to solve problems in mechanics appropriately by using those concepts.

A total score of 60% or higher is required to receive credit. A score of 60% means that the student understands the basic contents covered in the course and is able to solve fundamental problems related to angular momentum, torque, the motion of many-particle systems, the motion of rigid bodies, inertial forces, and the mechanics of elastic bodies.

In addition, this course is coordinated with the “Learning Support Room.” Depending on the level of understanding, study in the “Learning Support Room” may be required in order to earn credit. Details will be explained in the first class.
Language
Japanese
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. A brief diagnostic test on high school mechanics and mathematics
Guidance on the course and explanation of how to use Teams
Review of Fundamental Mechanics 1
Rotational motion of a particle
Angular velocity and angular acceleration
Preparation: Review the contents of Fundamental Mechanics 1, especially equations of motion and vectors. Read Section 6.1 of the textbook.
Review: Organize the basic concepts of rotational motion of a particle and solve problems involving angular velocity and angular acceleration.
190minutes
2. Torque
Angular momentum
Laws of rotational motion of a particle
Preparation: Read the relevant part of Section 6.1 of the textbook and review the definitions of torque and angular momentum.
Review: Solve basic problems on torque and angular momentum.
190minutes
3. Central force
Conservation of angular momentum
Kepler’s laws
Preparation: Review the part of Section 6.1 of the textbook related to central force and conservation of angular momentum.
Review: Organize the contents of Classes 1 to 3 and solve problems using conservation of angular momentum.
190minutes
4. Center of mass of a many-particle system and a rigid body
Motion of a many-particle system
Law of motion of the center of mass
Preparation: Read Sections 7.1 and 7.2 of the textbook.
Review: Organize the definition of the center of mass and the law of motion of the center of mass, and solve basic problems on many-particle systems.
190minutes
5. Motion of a many-particle system (continued)
Internal and external forces
Angular momentum of a many-particle system
Preparation: Read Sections 7.2 and 7.3 of the textbook.
Review: Organize the difference between internal and external forces and solve basic problems on the angular momentum of a many-particle system.
190minutes
6. Equations of motion of a rigid body
Equilibrium of a rigid body
Basic treatment of rigid bodies
Preparation: Read Section 8.1 of the textbook.
Review: Organize the equations of motion and the conditions for equilibrium of rigid bodies, and solve basic problems.
190minutes
7. Rotation of a rigid body about a fixed axis
Moment of inertia
Basics of rigid-body rotation
Preparation: Read Sections 8.1 and 8.2 of the textbook.
Review: Organize the contents of Classes 4 to 7 and review for the midterm examination.
190minutes
8. Midterm examination
Review of the examination
Preparation: Study for the examination.
Review: Solve the midterm problems again and organize the parts that were not sufficiently understood.
190minutes
9. Rotation of a rigid body about a fixed axis (continued)
Calculation of moment of inertia
Parallel-axis theorem
Preparation: Read Section 8.2 of the textbook.
Review: Solve basic problems on moment of inertia and the parallel-axis theorem.
190minutes
10. Plane motion of a rigid body
Combination of translational and rotational motion
Applications of rigid-body motion
Preparation: Read Section 8.3 of the textbook.
Review: Solve basic problems on the plane motion of rigid bodies.
190minutes
11. Non-inertial frames
Inertial forces (apparent forces)
Difference between inertial and non-inertial frames
Preparation: Read Section 9.1 of the textbook.
Review: Organize the basic concepts of non-inertial frames and inertial forces, and solve basic problems.
190minutes
12. Centrifugal force
Coriolis force
Motion in rotating frames
Preparation: Read Section 9.2 of the textbook.
Review: Solve basic problems on centrifugal force and Coriolis force.
190minutes
13. Stress
Elastic constants
Fundamentals of the mechanics of elastic bodies
Review exercises for the final examination
Preparation: Read Sections 10.1 and 10.2 of the textbook.
Review: Organize the basic concepts of stress and elastic constants, and review the contents of Classes 9 to 13 for the final examination.
190minutes
14. Final examination Preparation: Review the entire contents of Fundamental Mechanics 2.
Review: Revisit the contents covered in the final examination and organize the basic topics of many-particle systems, rigid bodies, inertial forces, and elastic bodies.
190minutes
Total. - - 2660minutes
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class - Questions during class will be handled in the classroom for face-to-face sessions and via Teams for online sessions.
- Feedback outside class will be provided regularly through Teams. Please check Teams notifications when they arrive.
Textbooks and reference materials
Explained in lecture Butsurigaku Kiso (Basic Physics), 5th Edition, Yasuo Hara, Gakujutsu Tosho Shuppan, 2,400 yen + tax. Chapters 6 through 10 correspond to the contents of this course. Other relevant reference materials and books will be introduced in class as needed.
Prerequisites
Completion of Fundamental Mechanics 1 is desirable. It is also recommended that students review the basics of high school physics and calculus before taking this course.
Office hours and How to contact professors for questions
  • Questions and consultations are accepted at any time by e-mail or via the designated online form.
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Non-social and professional independence development course
  • Course that cultivates an ability for utilizing knowledge
  • Course that cultivates a basic problem-solving skills
Active-learning course
More than one class is interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A N/A
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Wed Apr 01 04:04:28 JST 2026