Fundamental Mechanics

Numbering Code U-ENG23 23010 LJ57 Year/Term 2022 ・ First semester
Number of Credits 2 Course Type Lecture
Target Year Target Student
Language Japanese Day/Period Mon.2
Instructor name SAITOU JIYUN (Graduate School of Engineering Associate Professor)
Outline and Purpose of the Course This class introduces foundations of Newtonian mechanics and its
application to engineering. The motion of a particle, multi-particle
systems and rigid bodies are mainly introduced, and Related mechanics
studied in specialized subjects are explained.
Course Goals The goal is to acquire a systematic knowledge of mechanics of a
particle, multi-particle systems, and rigid body to solve basic
mechanical problems.
Schedule and Contents Fundamental mathmatics, 2 times,
Simple harmonic motion, Eigenvalue and eigenvector, Vector calculus

Laws of motion, 3 times,
Equation of motion, Velocity and acceleration vector in polar
coordinates, linear momentum and angular momentum, conservation laws,
Damped Harmonic Oscillator, Driven Harmonic Oscillator, Resonance

Work and Energy, 2 times,
Work, Conservative force and potential, Conservation of mechanical energy

Non-inertial systems, 1 time,
Galilean Transformation, motion in a rotating coordinate system
(Coriolis force and centrifugal force)

Multi-particle systems, 2 times,
Center of Mass, Conservation of Momentum, coupled oscillations and their mode

Motion of rigid bodies, 3 times,
Degree of freedom, statics of rigid bodies, Moment of inertia,
Rotation of a rigid body about a fixed axis, Motion of a rigid body

Foundation of analytical mechanics, 2 times,
Constraint condition, Constraint force, Generalized coordinate,
Generalized force, Lagrange's equations.

Confirmation of achievement,1 time
The achievement assessment is intended to measure students' knowledge,
skill and aptitude on the subject using quiz and viva-voce.
Evaluation Methods and Policy Evaluation will be based on assignments (13 or 14 times, 20~30 points), and an examination (70~80 points).

Students will submit all assignments.
Course Requirements It is desirable that students complete Calculus A, B and linear algebra A, B.
Study outside of Class (preparation and review) A Report is assigned for every class for review.
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