### 2016　Fundamentals of Mechanics 2

Font size  SML

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

Day/Period(Room No.)
Fri1-2(W621)
Group
J
Course number
LAS.P102
Credits
1
2016
Offered quarter
2Q
Syllabus updated
2017/1/11
Lecture notes updated
-
Language used
Japanese
Access Index

### Course description and aims

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

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

### Student learning outcomes

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

### Keywords

coordinate transform, inertial force, Coriolis force, centrifugal force, relative coordinates, reduced mass, center of mass, momentum, angular momentum, energy, rigid body, equilibrium, moment of inertia

### 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 Two-body problem (relative coordinate, reduced mass) Explain the concept of relative coordinate and reduced mass
Class 2 Momentum and angular momentum in systems of particles (center of mass, conservation of momentum and angular momentum) Explain the concept of center of mass, conservation of momentum and angular momentum in systems of particles.
Class 3 Equation of motion and equilibrium for rigid bodies (moment of force, condition of balance) Express the condition of equilibrium and equation of motion for rigid bodies.
Class 4 Motion of rigid bodies about a fixed axis (moment of inertia, angular momentum and energy of rigid bodies, rigid body pendulum) Explain the concept of moment of inertia, angular momentum and energy of rigid bodies. .
Class 5 How to calculate the moment of inertia (parallel-axis theorem, perpendicular-axes theorem for a thin plate) Explain the concept of parallel-axis and perpendicular-axes theorem.
Class 6 Motion of rigid bodies in a plane (rollling motion) Explain how to describe the motion of rigid bodies in a plane.
Class 7 Motion in coordinate systems undergoing accelerated motion (inertial forces, Coliolis force and centrifugal force) Describe the motion in coordinate systems undergoing accelerated motion. Explain the concept of Coliolis force and centrifugal force.
Class 8 Thermodynamics, waves, and energy utilization Explain the basics of the Carnot cycle and the one-dimensional wave equation.

### Textbook(s)

Fundamentals of Mechanics, Kazukiyo Nagata, Science-sha and handouts.

### Reference books, course materials, etc.

Specified by the instructor.

### Assessment criteria and methods

Learning achievement is evaluated by a final exam.

### Related courses

• LAS.P105 ： Exercises in Physics I

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

No prerequisites.