2019 Fundamentals of Mechanics 1 E

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Academic unit or major
Basic science and technology courses
Somiya Kentaro 
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Media-enhanced courses
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Course description and aims

The course teaches the fundamentals of particle motion starting with the equations 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 physical laws of motion and their mathematical description. This will allow them to understand particle mechanics as well as find solutions to most general problems in mechanics.

Student learning outcomes

By completing this course, students will be able to:
1) Correctly understand the concepts of velocity, acceleration, force, momentum, angular momentum, torque, work, energy, etc., and mathematically describe them.
2) Correctly understand the laws of motion; the laws of conservation of momentum, angular momentum, and energy that are derived from the laws of motion; and solve actual physical 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.


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 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 Difference from physics learnt in high school. Recognize the difference from high school physics.
Class 2 Differential equation Learn three patterns of solving differential equations.
Class 3 Momentum and energy conservations Derive momentum conservation law and energy conservation law from Newton's law.
Class 4 Mass sliding down a rough slope Learn how to describe the motion of a mass.
Class 5 Pendulum with a friction Make a clear image of energy loss.
Class 6 Potential energy Make a clear image of potential energy.
Class 7 Potential energy of a spherical shell Calculate a potential energy of a sphere and a spherical shell.


Mechanics, M.Toda, Iwanami Publishing Company

Reference books, course materials, etc.

Not in particular

Assessment criteria and methods

final exam

Related courses

  • LAS.P105 : Exercises in Physics I

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

No prerequisites.

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