### 2017　Fundamentals of Mechanics 1 K

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Basic science and technology courses
Instructor(s)
Okuma Satoshi
Course component(s)
Lecture
Mode of instruction

Day/Period(Room No.)
Fri1-2(W331)
Group
K
Course number
LAS.P101
Credits
1
2017
Offered quarter
1Q
Syllabus updated
2017/4/11
Lecture notes updated
-
Language used
Japanese
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### Course description and aims

The course teaches the fundamentals of particle motion starting with the equations of motion that describe the motion of an object.

Mechanics is important for understanding nature, and is essential for the study of science, engineering, life sciences, and other specialized courses. Students will learn the laws of motion and the mathematical description of motion. This will allow them to understand particle mechanics and they will be able to solve most general problems in mechanics.

### Student learning outcomes

By completing this course, students will be able to:
1) Understand the concepts of velocity, acceleration, force, momentum, angular momentum, torque, work, energy, etc., correctly, and describe them mathematically.
2) Understand the laws of motion — the laws of conservation of momentum, angular momentum, and energy that are derived from the laws of motion — correctly, and solve actual mechanical problems by applying these laws.
3) Find mathematical solutions to problems in mechanics, expressed by the appropriate equations, and explain the physical meaning of said solutions.

### Keywords

position, velocity, acceleration, momentum, force, laws of motion, law of conservation of momentum, free fall, simple harmonic motion, parabolic motion, work, kinetic energy, potential energy, law of conservation of energy, central force, angular momentum, torque, law of conservation of angular momentum, universal gravitation, Kepler's laws

### Competencies that will be developed

 ✔ Specialist skills Intercultural skills Communication skills Critical thinking skills ✔ Practical and/or problem-solving skills

### Class flow

Two-thirds of each class are devoted to fundamentals and the rest to advanced content or application. To allow students to get a good understanding of the course contents and practice application, problems related to the contents of this course are provided in Exercises in Physics I.

### Course schedule/Required learning

Course schedule Required learning
Class 1 Description of motion (position, velocity, acceleration) Explain position, velocity, and acceleration using vectors.
Class 2 Linear motion (free fall, simple harmonic motion, simple pendulum) Explain typical linear motions such as free fall and simple harmonic motion.
Class 3 Motion in a plane (parabolic motion, damped harmonic oscillation, and driven harmonic oscillation) Explain damped harmonic oscillation and driven harmonic oscillation in addition to planar motion such as parabolic motion.
Class 4 Newton’s three laws of motion (law of inertia, equation of motion, law of action and reaction) Explain Newton’s three laws of motion and express motion using the equations of motion.
Class 5 Work and energy (kinetic energy, conservative force and potential energy), law of conservation of energy Explain the concepts of work, kinetic energy, and potential energy, and the law of conservation of energy.
Class 6 Angular momentum and torque (vector product) Explain the concepts of angular momentum and torque, and express them using the vector product.
Class 7 Motion under a central force (law of conservation of angular momentum, description of velocity and acceleration in terms of polar coordinates) Explain the law of conservation of angular momentum and the motion of a particle under a central force, and express motion using polar coordinates.
Class 8 Newton's law of universal gravitation and planetary motion (Kepler’s laws) Explain the motion of a particle under universal gravitation and Kepler’s laws of planetary motion.

### Textbook(s)

"Rikigaku (Mechanics)" by Morikazu Toda, Iwanami Shoten (in Japanese).

### Reference books, course materials, etc.

Handouts will be distributed.

### Assessment criteria and methods

Based on exams.

### Related courses

• LAS.P105 ： Exercises in Physics I

### Prerequisites (i.e., required knowledge, skills, courses, etc.)

No prerequisites.

### Other

Okuma's Office: 2nd floor, Research Center for Low Temperature Physics (Email: sokuma@o.cc.titech.ac.jp)