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.
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.
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.
- The students should be able to analyze the motion of different objects by means of solving the equations of motions and explain the results.
- The students should be able to understand and use the lows of conservation of momentum, conservation of total energy and conservation of angular momentum
- The students will be able to solve and explain the problems in planetary motions and circular motions.
- The students will be able to analyze and explain the centre of mass and moment of inertia.
- The students will be able to solve and explain the equation of motion of damped oscillation.
| 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 | 190minutes |
| 2. | Newton's laws of motion, gravitation | pp. 55-70 | 190minutes |
| 3. | Equations of Motions 1 ・projectiles |
pp. 71-77 | 190minutes |
| 4. | Equations of Motions 2 ・falling object with air resistance. |
pp. 78-84 | 190minutes |
| 5. | Oscillations 1 ・Simple harmonic oscillations, Euler's formula ・The simple pendulum, spring and LCR circuit. |
pp. 92-99, 149-150 and 232-240 | 190minutes |
| 6. | Oscillations 2 ・Damped oscillator. |
pp. 241-247 | 190minutes |
| 7. | Work, Kinetic Energy 1 ・Work, Conservation laws, equilibrium |
pp. 102-116 | 190minutes |
| 8. | Work, Kinetic Energy 2 ・Work in 3D motion, linear integral, conservative force |
pp. 117-134 | 190minutes |
| 9. | Angular Momentum ・conservation of angular momentum, torque, vector product |
pp. 135-153 | 190minutes |
| 10. | Planetary Motion ・equations of motions in polar coordinates, Kepler's laws of planetary motion |
pp. 154-167 | 190minutes |
| 11. | Rigid Bodies 1 ・equations of motion, balance of force and centre of mass for the rigid bodies |
pp. 200-209 | 190minutes |
| 12. | Rigid Bodies 2 ・moment of inertia for rod, disk and cylinder. parallel and perpendicular axis theorem |
pp. 210-219 | 190minutes |
| 13. | Rigid Bodies 3 ・rotation about a fixed axis, plane motion of rigid bodies |
pp. 220-231 | 190minutes |
| 14. | Final exam and review | all | 190minutes |
| Total. | - | - | 2660minutes |
| Homework/Usual performance/Short reports | Total. | |
|---|---|---|
| 1. | 20% | 20% |
| 2. | 20% | 20% |
| 3. | 20% | 20% |
| 4. | 20% | 20% |
| 5. | 20% | 20% |
| Total. | 100% | - |
Homework/Usual performance/Short reports: 40 %
Final examination: 60 %
Summation of both points exceed 60 points
If you understand what is written in a textbook and if you can solve questions in a textbook,
you probably can get 60 points in a final score.
Final examination: 60 %
Summation of both points exceed 60 points
If you understand what is written in a textbook and if you can solve questions in a textbook,
you probably can get 60 points in a final score.
Textbook: Satoru Kano and Munetake Ichimura, “Introduction to Physics I. Mechanics 2nd Edition”, Tokyo Kagaku Doujin, ISBN
9784807907878, 2012. (in Japanese)
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.
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.
- 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.
- Course that cultivates an ability for utilizing knowledge
- Course that cultivates a basic problem-solving skills
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| N/A | N/A |
Last modified : Sat Apr 17 04:14:58 JST 2021