02134101
Exercises in Classical Mechanics
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 is a recitation exercise for the "Elementary Mechanics". 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 will be able to analyze the motion of different objects by means of solving the equations of motions and explain the results.
- The students will 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 review and final exam. | all | 190minutes |
| Total. | - | - | 2660minutes |
| Homework/Usual performance/Short reports | Final examination | Total. | |
|---|---|---|---|
| 1. | 10% | 10% | 20% |
| 2. | 10% | 10% | 20% |
| 3. | 10% | 10% | 20% |
| 4. | 10% | 10% | 20% |
| 5. | 10% | 10% | 20% |
| Total. | 50% | 50% | - |
Homework/Usual performance/Short reports: 50 %
Final examination: 50 %
Final examination: 50 %
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.
- For questions about the course, please visit each instructor after class in the lecture room, or visit each instructor's office at specified office hours.
- Course that cultivates an ability for utilizing knowledge
Last modified : Sun Feb 25 04:43:00 JST 2018