Course title
021355001
Lecture and Exercise on Classical Mechanics

 NAKAMURA Tota

MAEDA Kengo

TAKAMIZU Yuichi

HASEGAWA Yasuhiro
Course description
Physics is a branch of science that aims to describe, predict and understand natural phenomena by means of mathematical tools. Studying physics strengthens quantitative reasoning and problem solving skills that include mathematical technique such as differential calculus.
This course introduces the foundations of Newtonian mechanics to students taking this course. In this course, solution methods for differential equations will be introduced and used to solve equations of motions.
Purpose of class
This course deals with the basics of Newtonian mechanics. It also enhances the development of students’ skills to construct mathematical models for the motion of objects and analyze quantitatively through solving exercise problems.
Goals and objectives
  1. The students should be able to analyze the motion of different objects by means of solving the equations of motions and explain the results.
  2. The students should be able to understand and use the laws of conservation of momentum, conservation of total energy and conservation of angular momentum
  3. The students will be able to solve and explain the problems in planetary motions and circular motions.
  4. The students will be able to analyze and explain the centre of mass and moment of inertia.
  5. The students will be able to solve and explain the equation of motion of damped oscillation.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Vectors
　　・vector velocity and vector acceleration in different coordinate systems. 		pp. 14-49 380minutes
2. Newton's laws of motion, gravitation pp. 55-70 380minutes
3. Equations of Motions 1
　　・projectiles 		pp. 71-77 380minutes
4. Equations of Motions 2
　　・falling object with air resistance. 		pp. 78-84 380minutes
5. Oscillations 1
　　・Simple harmonic oscillations, Euler's formula
　　・The simple pendulum, spring and LC circuit. 		pp. 92-99, 149-150 and 232-240 380minutes
6. Oscillations 2
　　・Damped oscillator. 		pp. 241-247 380minutes
7. Work, Kinetic Energy 1
　　・Work, Conservation laws, equilibrium 		pp. 102-116 380minutes
8. Work, Kinetic Energy 2
　　・Work in 3D motion, linear integral, conservative force 		pp. 117-134 380minutes
9. Angular Momentum
　　・conservation of angular momentum, torque, vector product 		pp. 135-153 380minutes
10. Planetary Motion
　　・equations of motions in polar coordinates, Kepler's laws of planetary motion 		pp. 154-167 380minutes
11. Rigid Bodies 1
　　・equations of motion, balance of force and centre of mass for the rigid bodies 		pp. 200-209 380minutes
12. Rigid Bodies 2
　　・moment of inertia for rod, disk and sphere. parallel and perpendicular axis theorem 		pp. 210-219 380minutes
13. Rigid Bodies 3
　　・rotation about a fixed axis, plane motion of rigid bodies 		pp. 220-231 380minutes
14. Review all 380minutes
Total. - - 5320minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Homework/Short reports/Short tests Total.
1. 20% 20%
2. 20% 20%
3. 20% 20%
4. 20% 20%
5. 20% 20%
Total. 100% -
Evaluation method and criteria
Homework/Usual performance/Short reports/Short tests: 100 %
To pass, students must earn at least 60 points out of 100.
Textbooks and reference materials
Textbook: Satoru Kano and Munetake Ichimura, “Introduction to Physics I. Mechanics 2nd Edition”, Tokyo Kagaku Doujin, ISBN 9784807907878, 2012. (in Japanese)
Prerequisites
To succeed in this course you will need to be comfortable with high-school level mathematics, especially;
sum of vectors, dot product, vector calculus, differential and integral calculus of polynomial, trigonometric, exponential and logarithmic functions, differential and integral calculus of composite function, integration by substitution.
Office hours and How to contact professors for questions
  • About 1 hour at the lecture room or office after the class. Or you can email your instructor. (Please confirm with your instructor.)
    If you are taking the class online, you can email your instructor, and your instructor may answer your questions on Zoom.
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
About half of the classes are interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A 該当しない
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Mon Jul 04 04:03:31 JST 2022