Hiroshima University Syllabus |

Japanese

Academic Year 2020Year 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

EnglishGeneral 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 K203 Lesson Style Lecture Lesson Style

【More Details】Lecture-oriented class, Projection (PowerPoint) will be used. Credits 2 Class Hours/Week Language on 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 EducationExpected Outcome Class Objectives

/Class OutlineMechanics 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: Solution method of a second-order ordinary differential equation. Harmonic oscillation.

lesson 12: Damped oscillation

lesson13: Forced, undamped oscillation

lesson14: Forced, damped oscillation.

lesson15: Bounded motion

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.The textbook and projections. Suggestions on

Preparation and

Reviewlesson 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: Understand the solution method of a second-order ordinary differential equation. Understand the solution method and properties of harmonic oscillation.

lesson 12: Understand the solution method and properties of three types of damped oscillation.

lesson 13: Understand the solution method of forced oscillator without drag. Understand the properties of resonance and beat.

lesson 14: Understand the solution method of forced, damped oscillator. Understand the variation of oscillation characteristics when changing the driving frequency.

lesson 15: Review two-dimensional polar coordinate. Understand the solution method of the motion bounded on a circle.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.