Fundamental Mechanics

Numbering Code U-ENG23 23010 LJ57 Year/Term 2021 ・ First semester
Number of Credits 2 Course Type Lecture
Target Year Target Student
Language Japanese Day/Period Mon.4
Instructor name HAKAMADA MASATAKA (Graduate School of Energy Science 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 body 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, 1 times,
Vector calculus

Laws of motion, 4 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, coupled oscillations and their modes

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, 1 time,
Center of Mass, conservation of Momentum

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
Examination
Evaluation Methods and Policy Examination: 85%, Weekly assignment: 15%
Course Requirements Elementary calculus and linear algebra
Study outside of Class (preparation and review) Preparation and reviewing are recommended, although the details are arbitrary.
Textbooks Textbooks/References Worksheet (in Japanese) is provided via web.
Related URL https://panda.ecs.kyoto-u.ac.jp/
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