This course of Mechanics allows to formulate the description of motion (kinematics) explaining it in terms of forces, energy
and momentum (dynamics).
It provides the tools to understand the mechanics of many phenomena familiar to all of us as well as the mechanics of rockets, planets, stars and galaxies.
This is a 4 credit course.
Students are encouraged to read in advance the material to be treated in each class and then to solve the assigned problems after each class.
It provides the tools to understand the mechanics of many phenomena familiar to all of us as well as the mechanics of rockets, planets, stars and galaxies.
This is a 4 credit course.
Students are encouraged to read in advance the material to be treated in each class and then to solve the assigned problems after each class.
In this course the students will concentrate on the motion of different types of bodies, from point-like ones, to extended
rigid bodies, up to planets, and on the understanding of how these bodies respond to forces acting on them. They will get
familiar with the motion of different types of bodies, with elasticity, fluidity and of strings in the following course of
"Physics: Fuidodynamics, Oscillations and Waves".
| Goals and objectives | Course Outcomes | |
|---|---|---|
| 1. | The students will be able to describe and solve for the motion of different objects in terms of the forces acting on them |
A-1
|
| 2. | The students will be able to express the concept of kinetic and potential energy of a system and describe its motion in terms of the total energy conservation |
A-1
|
| 3. | The students will be able to understand the concepts of linear and angular momentum and use the law of its conservation to analyze the motion of a system |
A-1
|
| 4. | The students will be able to describe the motion of two-body systems through the concepts of center of mass and reduced mass, and of extended rigid bodies in terms of their translational and rotation motion (using the concept of momentum of inertia) |
A-1
|
| 5. | The students will be able to analyze the motion of planets and satellites |
A-1
|
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | Fundamental physical quantities and their units; graphical representation of data; vectors: unit vectors, vectors addition
and products. Motion in one dimension: average and instantaneous velocity, acceleration, motion with constant and varying acceleration |
Read in Chapter 1 sections 1.7 -- 1.10 Read Chapter 2 |
180分 |
| solve problems | 360分 | ||
| 2. | Motion in 2 and 3 dimensions; position, velocity and acceleration vectors; relative velocity | Read Chapter 3 | 180分 |
| Solve problems | 240分 | ||
| 3. | Force; Newton's I law; Newton'S II law and weight; Newton's III law | Read Chapter 4 | 180分 |
| Solve problems | 240分 | ||
| 4. | Friction; circular motion; practice | Read Chapter 5 | 180分 |
| Solve problems | 240分 | ||
| 5. | Review - preparation to midterm exam | review all material covered up to this point | 360分 |
| 6. | Midterm exam and discussion of solutions | review | 360分 |
| 7. | work; kinetic energy and power | Read Chapter 6 | 180分 |
| solve problems | 180分 | ||
| 8. | potential energy; energy conservation; force and potential energy: conservative and nonconservative forces | Read Chapter 7 | 180分 |
| solve problems | 180分 | ||
| 9. | momentum; impulse and conservation of momentum; center of mass and collisions | Read Chapter 8 | 180分 |
| solve problems | 180分 | ||
| 10. | rigid bodies; angular kinematics, momentum of inertia; rotational kinetic energy | Read Chapter 9 | 180分 |
| solve problems | 180分 | ||
| 11. | torque; rotational dynamics; equilibrium condition; work done by a torque; angular momentum | Read Chapter 10 | 180分 |
| solve problems | 180分 | ||
| 12. | Newton's gravitational law; gravitational force/weight; gravitational potential energy; satellite motion | Read Chapter 13 up to 13.5 | 180分 |
| solve problems | 180分 | ||
| 13. | Kepler's three laws | Finish Chapter 13 from 13.5 on | 180分 |
| solve problems | 180分 | ||
| 14. | Final exam and discussion of solutions | review all material | 300分 |
| Total. | - | - | 5340分 |
| Homew.+Partic. | Midterm exam | Final exam | Total. | |
|---|---|---|---|---|
| 1. | 6% | 30% | 36% | |
| 2. | 6% | 10% | 16% | |
| 3. | 6% | 10% | 16% | |
| 4. | 6% | 10% | 16% | |
| 5. | 6% | 10% | 16% | |
| Total. | 30% | 30% | 40% | - |
1) class participation; 2) homework problems (special emphasis is put on the originality of solutions); 3) midterm exam; 4)
final exam are all contributing to the final score with relative weights of 30% (1+2), 30% (3), 40%(4).
A minimum of 60% of the full score is required for passing the course. This means two exams (midterm and final) are sufficient for passing (two and not one, as this will release the pressure of having to reach a perfect score in only one exam).
A minimum of 60% of the full score is required for passing the course. This means two exams (midterm and final) are sufficient for passing (two and not one, as this will release the pressure of having to reach a perfect score in only one exam).
University Physics by H.D. Young and R.A. Friedman; Pearson/Addison-Wesley (Eds.) Volume I, Chapters 1--10, 13
Methodics of Physics and Linear Algebra, Calculus.
As for Calculus, more than the course of Calculus I (the only one that at the time of this course the students will have had the chance to take) is needed.
All concepts not yet studied will be developed in this course.
As for Calculus, more than the course of Calculus I (the only one that at the time of this course the students will have had the chance to take) is needed.
All concepts not yet studied will be developed in this course.
- one fixed time will be chosen after the full schedule of the courses will be finalized.
In the meantime, and in any case, contact me to fix an appointment at the email address franbor at shibaura-it.ac.jp
- 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 applicatable |
|---|---|
| N/A | N/A |
Last modified : Fri Aug 07 04:07:41 JST 2020