2024 Fundamentals of Mechanics 2 K

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Academic unit or major
Basic science and technology courses
Instructor(s)
Tanaka Hidekazu 
Class Format
Lecture    (Face-to-face)
Media-enhanced courses
Day/Period(Room No.)
Fri1-2(W2-402(W242))  
Group
K
Course number
LAS.P102
Credits
1
Academic year
2024
Offered quarter
2Q
Syllabus updated
2024/3/14
Lecture notes updated
-
Language used
Japanese
Access Index

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 Central force, universal gravitation Explain the central force.
Class 2 Transformation of the coordinate system and inertial force Explain the Coriolis force and the centrifugal force.
Class 3 The motion of two-mass points Explain that the motion of two interacting particles is equivalent to that of a single particle.
Class 4 Momentum and angular momentum of the mass system Explain the laws of conservation of momentum and angular momentum.
Class 5 Energy of the mass system, equations of motion of the rigid body, center of mass of the rigid body, and equilibrium of rigid bodies Explain equations of motion of the rigid body.
Class 6 Rotational motion of the rigid body around the fixed axis, moment of inertial Explain the moment of inertia.
Class 7 Moment of inertial (continued), rigid body pendulum, the planar motion of the rigid body Explain the planar motion of the rigid body.

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)

Library Fundamental Physics for Engineering, Fundamentals of Mechanics Ed. Kazukiyo Nagata (Science Co.)

Reference books, course materials, etc.

nothing

Assessment criteria and methods

By final exam

Related courses

  • LAS.P105 : Exercises in Physics I

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

No prerequisites.

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