68150003 General　Mechanics I

Hiroshima University Syllabus

Japanese

Academic Year 2024Year School/Graduate School Liberal Arts Education Program

Lecture Code 68150003 Subject Classification Foundation Courses

Subject Name 一般力学I[1工一]

Subject Name
（Katakana）イッパンリキガク1

Subject Name in
English General　Mechanics I

Instructor ARAI MASAZUMI

Instructor
(Katakana) アライ　マサズミ

Campus Higashi-Hiroshima Semester/Term 1st-Year, First Semester, 1Term

Days, Periods, and Classrooms (1T) Thur5-8：IAS K110

Lesson Style Lecture Lesson Style
(More Details) 　

Lecture-oriented class, Projection will be used. Online teaching using Microsoft Teams will be used as required.

Credits 2.0 Class Hours/Week 　 Language of Instruction B : Japanese／English

Course Level 1 : Undergraduate Introductory

Course Area（Area） 25 : Science and Technology

Course Area（Discipline） 06 : Physics

Eligible Students

Keywords basis vectors, vector product, two-dimensional polar coordinate, an equation of motion, ordinary differential equation,momentum, angular momentum, potential energy, total energy, harmonic oscillation, damped oscillation, forced oscillation,resonance

Special Subject for Teacher Education 　 Special Subject 　

Class Status within
Liberal Arts Education As pre-specialized education, which is organically linked to specialized education, Foundation Courses are aimed at providing students with the basic knowledge necessary to understand specialized studies in their chosen areas, and thereby providing them w
Expected Outcome To understand, acquire, and be able to explain the logical structure and system of the basic disciplines in accordance with each subject and the knowledge and skills necessary for further academic development.

Class Objectives
/Class Outline Mechanics is one of the mainstays of physics and engineering as well as electromagnetics, and hence an important subject for students in the department of science and engineering as a foundation to be acquired.

Our goal in General Mechanics is to systematically provide the principles and laws of mechanics for engineering students. Students coming out of this class should have a deep conceptual understanding of classical Newtonian mechanics. This course, General Mechanics I, provides instruction in one-particle dynamics and mathematics required for the understanding of this lecture.

Class Schedule lesson 1: Basis of the vector and the operations such as scalar product and vector product
lesson 2: Definitions of velocity and acceleration as the derivatives of a position vector
lesson 3: Two-dimensional polar coordinate and cylindrical coordinate systems.
lesson 4: Newton's laws of motion and an equation of motion. Solution methods for solving the equations of motion with constant acceleration.
lesson 5: Solution method of a first-order ordinary differential equation. Solution methods for solving the motions of a particle under drag forces.
lesson 6: Momentum and impulse
lesson 7: Angular momentum and torque
lesson 8: Work and energy
lesson 9: Conservation of total energy (basics)
lesson 10: Conservation of total energy (applications)
lesson 11: Bounded motion
lesson 12: Solution method of a second-order ordinary differential equation. Harmonic oscillation.
lesson13: Damped oscillation
lesson14: Forced, undamped oscillation
lesson15: Forced, damped oscillation.

term-end exam

Assignments will be given.

Text/Reference
Books,etc. The textbook will be provided in lesson 1. There exist no other recommended textbooks.

PC or AV used in
Class,etc. 　

(More Details) The textbook and projections.

Learning techniques to be incorporated 　

Suggestions on
Preparation and
Review lesson 1: Understand basis vectors, coordinate system, scalar and vector products. Solve problems about vectors.
lesson 2: Understand the derivative of a vector, the definitions of velocity and acceleration in terms of derivative of a vector.
lesson 3: Understand the derivations of the basis vectors and their derivative, the formula of velocity and acceleration in the two-dimensional polar coordinate system.
lesson 4: Understand the Newton's laws of motion. Understand the solution method of the equation of motion with constant acceleration. Solve problems about the motions of a particle with constant acceleration.
lesson 5: Understand the solution method of a first-order ordinary differential equation. Solve problems about the motions of a particle under drag forces.
lesson 6: Understand the concepts of momentum and impulse and apply them to the problem of impulsive force. Solve problems about the motion of a body the mass of which is time varying.
lesson 7: Review vector product. Understand the concepts of angular momentum, and torque. Derive the condition for the conservation of angular momentum.
lesson8: Understand the concepts of work and energy.
lesson 9: Understand the conditions for the existence of potential energy and the conservation of total energy.
lesson 10: Solve problems by applying the conservation of total energy.
lesson 11: Review two-dimensional polar coordinate. Understand the solution method of the motion bounded on a circle.
lesson 12: Understand the solution method of a second-order ordinary differential equation. Understand the solution method and properties of harmonic oscillation.
lesson 13: Understand the solution method and properties of three types of damped oscillation.
lesson 14: Understand the solution method of forced oscillator without drag. Understand the properties of resonance and beat.
lesson 15: Understand the solution method of forced, damped oscillator. Understand the variation of oscillation characteristics when changing the driving frequency.

Requirements Freshmen should take the specified class.

Grading Method About 70% by the term-end exam and about 30% by the assignments.

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message

Other

Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching.

Academic Year	2024Year	School/Graduate School	Liberal Arts Education Program
Lecture Code	68150003	Subject Classification	Foundation Courses
Subject Name	一般力学I[1工一]
Subject Name （Katakana）	イッパンリキガク1
Subject Name in English	General　Mechanics I
Instructor	ARAI MASAZUMI
Instructor (Katakana)	アライ　マサズミ
Campus	Higashi-Hiroshima	Semester/Term	1st-Year, First Semester, 1Term
Days, Periods, and Classrooms	(1T) Thur5-8：IAS K110
Lesson Style	Lecture	Lesson Style (More Details)
Lecture-oriented class, Projection will be used. Online teaching using Microsoft Teams will be used as required.
Credits	2.0	Class Hours/Week		Language of Instruction	B : Japanese／English
Course Level	1 : Undergraduate Introductory
Course Area（Area）	25 : Science and Technology
Course Area（Discipline）	06 : Physics
Eligible Students
Keywords	basis vectors, vector product, two-dimensional polar coordinate, an equation of motion, ordinary differential equation,momentum, angular momentum, potential energy, total energy, harmonic oscillation, damped oscillation, forced oscillation,resonance
Special Subject for Teacher Education		Special Subject
Class Status within Liberal Arts Education	As pre-specialized education, which is organically linked to specialized education, Foundation Courses are aimed at providing students with the basic knowledge necessary to understand specialized studies in their chosen areas, and thereby providing them w
Expected Outcome	To understand, acquire, and be able to explain the logical structure and system of the basic disciplines in accordance with each subject and the knowledge and skills necessary for further academic development.
Class Objectives /Class Outline	Mechanics is one of the mainstays of physics and engineering as well as electromagnetics, and hence an important subject for students in the department of science and engineering as a foundation to be acquired. Our goal in General Mechanics is to systematically provide the principles and laws of mechanics for engineering students. Students coming out of this class should have a deep conceptual understanding of classical Newtonian mechanics. This course, General Mechanics I, provides instruction in one-particle dynamics and mathematics required for the understanding of this lecture.
Class Schedule	lesson 1: Basis of the vector and the operations such as scalar product and vector product lesson 2: Definitions of velocity and acceleration as the derivatives of a position vector lesson 3: Two-dimensional polar coordinate and cylindrical coordinate systems. lesson 4: Newton's laws of motion and an equation of motion. Solution methods for solving the equations of motion with constant acceleration. lesson 5: Solution method of a first-order ordinary differential equation. Solution methods for solving the motions of a particle under drag forces. lesson 6: Momentum and impulse lesson 7: Angular momentum and torque lesson 8: Work and energy lesson 9: Conservation of total energy (basics) lesson 10: Conservation of total energy (applications) lesson 11: Bounded motion lesson 12: Solution method of a second-order ordinary differential equation. Harmonic oscillation. lesson13: Damped oscillation lesson14: Forced, undamped oscillation lesson15: Forced, damped oscillation. term-end exam Assignments will be given.
Text/Reference Books,etc.	The textbook will be provided in lesson 1. There exist no other recommended textbooks.
PC or AV used in Class,etc.
(More Details)	The textbook and projections.
Learning techniques to be incorporated
Suggestions on Preparation and Review	lesson 1: Understand basis vectors, coordinate system, scalar and vector products. Solve problems about vectors. lesson 2: Understand the derivative of a vector, the definitions of velocity and acceleration in terms of derivative of a vector. lesson 3: Understand the derivations of the basis vectors and their derivative, the formula of velocity and acceleration in the two-dimensional polar coordinate system. lesson 4: Understand the Newton's laws of motion. Understand the solution method of the equation of motion with constant acceleration. Solve problems about the motions of a particle with constant acceleration. lesson 5: Understand the solution method of a first-order ordinary differential equation. Solve problems about the motions of a particle under drag forces. lesson 6: Understand the concepts of momentum and impulse and apply them to the problem of impulsive force. Solve problems about the motion of a body the mass of which is time varying. lesson 7: Review vector product. Understand the concepts of angular momentum, and torque. Derive the condition for the conservation of angular momentum. lesson8: Understand the concepts of work and energy. lesson 9: Understand the conditions for the existence of potential energy and the conservation of total energy. lesson 10: Solve problems by applying the conservation of total energy. lesson 11: Review two-dimensional polar coordinate. Understand the solution method of the motion bounded on a circle. lesson 12: Understand the solution method of a second-order ordinary differential equation. Understand the solution method and properties of harmonic oscillation. lesson 13: Understand the solution method and properties of three types of damped oscillation. lesson 14: Understand the solution method of forced oscillator without drag. Understand the properties of resonance and beat. lesson 15: Understand the solution method of forced, damped oscillator. Understand the variation of oscillation characteristics when changing the driving frequency.
Requirements	Freshmen should take the specified class.
Grading Method	About 70% by the term-end exam and about 30% by the assignments.
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message
Other
Please fill in the class improvement questionnaire which is carried out on all classes. Instructors will reflect on your feedback and utilize the information for improving their teaching.

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