### 2022　Fundamentals of Mechanics 2 P

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Basic science and technology courses
Instructor(s)
Fujisawa Toshimasa
Class Format
Lecture    (Face-to-face)
Media-enhanced courses
Day/Period(Room No.)
Fri3-4(W631)
Group
P
Course number
LAS.P102
Credits
1
2022
Offered quarter
2Q
Syllabus updated
2022/3/16
Lecture notes updated
-
Language used
Japanese
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### Course description and aims

Following Fundamentals of Mechanics 1, this course teaches the mechanics of systems of interacting particles and rigid bodies (defined as systems of particles in which the distances between particles is fixed) as well as particle motion observed in a coordinate system undergoing acceleration.

Mechanics is important for understanding nature, and is essential for the study of science, engineering, life sciences, and other specialized courses. Building on the mechanics of single particles, students will learn the mechanics of systems of interacting particles. From this, they will learn the motion and balance of rigid bodies. In addition, they will learn particle motion in coordinate systems undergoing accelerated motion as well as inertial forces. At the end of class, students will be able to solve general problems in mechanics.

Thermodynamics, waves, and energy utilization are also key topics that will be covered in this course.

### Student learning outcomes

By completing this course, students will be able to:
1) Correctly understand the concepts of momentum, angular momentum, energy, etc. in systems of particles; the center of mass, moment of inertia, etc. in rigid bodies; and mathematically describe them.
2) Correctly understand motion and equilibrium of rigid bodies, and solve actual physical problems by applying the appropriate mathematical formulas.
3) Correctly understand the concept of inertial forces (Coliolis force and centrifugal force) and mathematically describe them.
4) Correctly understand oscillatory and wave motion, and mathematically describe them.
5) Find mathematical solutions to problems in mechanics, expressed by the appropriate equations, and explain the physical meaning of said solutions.

### Keywords

relative coordinates, reduced mass, center of mass, momentum, angular momentum, energy, rigid bodies, equilibrium, moment of inertia, inertial force, Coriolis force, centrifugal force, thermodynamics, waves

### 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 is devoted to fundamentals and the rest to advanced content or application. To allow students to get a good grasp of the course contents and practice problem solving skills, 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 Motion in an accelerated coordinate system Explain the Coriolis force and the centrifugal force.
Class 2 Angular momentum and two-particle problems Explain the concepts of angular momentum and torque, and express them using the vector product.
Class 3 Planetary motion Explain the law of conservation of angular momentum and the motion of a particle under a central force.
Class 4 System of particles and rigid body Explain the equations of motion for a system of particles and a rigid body.
Class 5 The motion of a rigid body around a fixed axis Explain the moment of inertia, the angular momentum, and kinetic energy of a rigid body.
Class 6 Rotational motion of rigid bodies Explain the rotational motion of a rigid body.
Class 7 Summary and exercises Summarize the content of this lecture and solve the exercises.

### Out-of-Class Study Time (Preparation and Review)

To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.

### Textbook(s)

“Mechanics”, Y. Soejima and T. Sugiyama

### Reference books, course materials, etc.

Distribute on T2SCHOLA if necessary.

### Assessment criteria and methods

Scores are based on the final exam.

### Related courses

• LAS.P105 ： Exercises in Physics I

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

No prerequisites.