Course Information
Course title
Semester
Department
Instructor
Administrative Curriculum
Number
Teaching Curriculum Number
DYNAMICS
101-2
Institute of Applied Mechanics
Li-Sheng Wang
543EM4010
AM7021
Class
Credits
3
Full/Half Yr.
Half Yr.
Required/Elective
Required
Time
Remarks
Tue34 Thu2
The upper limit of the number of students:
Ceiba Web Server
Table of Core Capabilities and
Curriculum Planning
Course Syllabus
This course is intended to familiarize the students with the basic concepts,
principles and methods of dynamics at the intermediate level. It is a
self-contained course open to senior undergraduate and graduate students in
Course Description
all fields of science and engineering. Prerequisites are calculus, engineering
mathematics (vector, matrix and ordinary differential equation) and a course
on dynamics at first level.
Course Objective
Outline：
Course Requirement
I. Newtonian Dynamics
Space and Time, Kinematics of Particles, Newton's Laws,
Balance Laws of Motion of a Particle, Pendulum Problems,
Motion in Central Force Field, Law of Universal Gravitation,
Motion of System of Particles, The Many Body Problems
II. Motion of Rigid Body in a Moving Reference Frame
Kinematics of Rigid Body, Rotation of Coordinate System in Space,
Rotation of Vector in Space, Motion relative to a Moving Coordinate
System
Motion on the Surface of Earth
III. Dynamics of a Rigid Body
Dynamic Specification of a Rigid Body, Equations of Motion,
Motion of a Top, Sliding and Rolling of Rigid Bodies,
Collisions of Rigid Bodies
IV. Lagrangian Dynamics
Constraints and Generalized Coordinates, Principle of Virtual Work,
D'Alembert's Principle, Lagrangian Equation for Holonomic
Systems, Lagrangian Equations for Non-holonomic Systems, Cyclic
Coordinates and Routh's Method,
V. Hamiltonian Dynamics
Calculus of Variations, Hamilton's Principle, Legendre's
Transformation, Hamilton's Equations, Hamiltonian and
Conservation Laws, Small Oscillations, Free vibration and Forced
Vibration
Office Hours
Text Book & References:
◎ A. L. Fetter & J. D. Walecka, Theoretical Mechanics of Particles
References
and Continua (Ch.1-3, 5, 6), McGraw-Hill, Taiwan Edition, 1996.
1. H. Goldstein, Classical Mechanics (2nd Ed., Ch.1-5, 8), Addison &
Wesley, 1980.
2. L. Meirovitch, Methods of Analytical Dynamics (Ch.1-4),
McGraw-Hill, 1994.
3. B. Lindsay & S. Margenau, Foundations of Physics , Dover, 1959.
Designated reading
No.
Grading
Item
%
1. Midterm ,
35
2. Final
35
3. Homework
15
4.
Research
Reports
15
Explanations for the conditions
(1) Dynamic system for geo-mechanics
(Newtonian: Due Oct. 31 2004)
(2) Dynamic system for micro-mechanics
(Lagrangian: Due Nov. 30 2004)
(3) Dynamic system for non-linear
mechanics (Hamiltonian: Due Dec. 31
2004)
Progress
Week
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
Week 9
Week 10
Week 11
Week 12
Week 13
Week 14
Week 15
Week 16
Week 17
Date
Topic