Dynamics

Course Chinese title: 動力學
Course Number: ME3100302
Credits: 3
Taught level: 2nd-year undergraduates
Lecturer: Dr. Chin-Hsing Kuo (郭進星博士)
E-learning website: http://moodle.ntust.edu.tw (university intranet only)

TA: 蔡承晏, Office: T3-203, Email:m10603101@mail.ntust.edu.tw

Course Description

本課程旨在介紹質點與剛體的運動學與動力學,包含質點運動學與動力學、質點系統動力學、剛體三維運動學與平面運動動力學等。 對於機械系的學生而言,本課程乃數門進階課程之先修科目,如機動學、機械系統設計、機器人學、高等動力學以及機械震動等。

This course teaches students the approaches for analyzing the mechanics of bodies in motion. It offers lectures on several topics including the kinematics of particles, kinetics of particles, kinetics of systems of particles, kinematics of rigid bodies, and kinetics of rigid bodies in plane motion. For mechanical engineering students, particularly, this course will be the foundation of several advanced courses, e.g., Mechanisms, Mechanical System Design, Robotics, Intermediate Dynamics, Mechanical Vibrations, etc.

Course Objectives

本課程目標在於培養工學院學生對於一般剛體動力學之問題分析與理論推導能力,並期可將理論基礎應用至實際的工程動力分析問題。

The main objective of this course is to develop in the engineering student the ability to analyze general dynamic problems and to apply its theoretical solutions to practical engineering problems.

Course Contents

  • Kinematics of particles (質點運動學)
  • Kinetics of particles (質點動力學)
  • Kinetics of systems of particles (質點系統動力學)
  • Kinematics of rigid bodies (剛體運動學)
  • Kinetics of rigid bodies in plane motion (平面運動剛體動力學)

Course Plan

Week Course content Notes
1 Course overview;
Kinematics of a Particle: Rectilinear Motion
Chap. 12
2 Kinematics of a Particle: Rectilinear Motion Chap. 12
3 Kinematics of a Particle: Curvilinear Motion Chap. 12, Exam 1 (20%)
4 Kinetics of a Particle: Force and Acceleration Chap. 13
5 Kinetics of a Particle: Force and Acceleration Chap. 13
6 Kinetics of a Particle: Work and Energy Chap. 14
7 Kinetics of a Particle: Work and Energy Chap. 14
8 Kinetics of a Particle: Impulse and Momentum Chap. 15
9 Kinetics of a Particle: Impulse and Momentum Chap. 15, Exam 2 (35%)
10 Planar Kinematics of a Rigid Body Chap. 16
11 Planar Kinematics of a Rigid Body Chap. 16
12 Planar Kinematics of a Rigid Body Chap. 16, Exam 3 (25%)
13 Planar Kinetics of a Rigid Body: Force and Acceleration Chap. 17
14 Planar Kinetics of a Rigid Body: Force and Acceleration Chap. 17
15 Planar Kinetics of a Rigid Body: Work and Energy Chap. 18
16 Planar Kinetics of a Rigid Body: Work and Energy Chap. 18
17 Planar Kinetics of a Rigid Body: Impulse and Momentum Chap. 19
18 Planar Kinetics of a Rigid Body: Impulse and Momentum Chap. 19, Exam 4 (35%)

Class Calendar

Textbook

Hibbeler - Mechanics for Engineers: Dynamics in SI Units

Reference Books

  • Meriam, J. L. and Kraige, L. G., 2007, Engineering Mechanics: Dynamics, 6th Edition in SI version, John Wiley & Sons, Hoboken, New Jersey.
  • Beer, F. P., Johnston, E. R., Jr., and Cornwell, P. J., 2010, Vector Mechanics for Engineers: Dynamics, 9th Edition in SI Units, McGraw-Hill, Singapore.

Lecture Notes

Grading Plan

  • Exams: 115% (20% + 25% + 35% + 35%)

Homework

The following assignments are based on Hibbeler's Dynamics textbook of its 14th edition.

Chapter 12: Kinematics of a Particle

  • Part 1: 12-8, 12-17, 12-18, 12-26
  • Part 2: 12-73, 12-78, 12-82, 12-84, 12-98, 12-105
  • Part 3: 12-120, 12-127, 12-129, 12-131, 12-145
  • Part 4: 12-160, 12-167, 12-170, 12-172, 12-188
  • Part 5: 12-195, 12-203, 12-218, 12-219, 12-223, 12-228, 12-232

Chapter 13: Kinetics of a Particle: Force and Acceleration

  • Part 1: F13-5, 13-10, 13-14, 13-16, 13-31, 13-33, 13-47
  • Part 2: 13-58, 13-59, 13-65, 13-66, 13-73
  • Part 3: 13-89, 13-90, 13-96, 13-104, 13-105

Chapter 14: Kinetics of a Particle: Work and Energy

  • Part 1: 14-15, 14-16, 14-21, 14-30, 14-33, 14-34, 14-38
  • Part 2: 14-45, 14-48, 14-54, 14-58
  • Part 3: 14-70, 14-74, 14-83, 14-88, 14-96

Chapter 15: Kinetics of a Particle: Impulse and Momentum

  • Part 1: 15-5, 15-9, 15-13, 15-18, 15-21
  • Part 2: 15-38, 15-40, 15-43, 15-53, 15-55
  • Part 3: 15-62, 15-66, 15-78, 15-80, 15-81, 15-85
  • Part 4: 15-105, 15-107, 15-108, 15-110, 15-111

Chapter 16: Planar Kinematics of a Rigid Body

  • Part 1: 16-11, 16-15, 16-36
  • Part 2: 16-43, 16-45, 16-48, 16-51, 16-53
  • Part 3: 16-58, 16-59, 16-67, 16-70, 16-79
  • Part 4: 16-85, 16-86, 16-89, 16-96
  • Part 5: 16-106, 16-108, 16-113, 16-118
  • Part 6: 16-129, 16-134, 16-143, 16-151

Chapter 17: Planar Kinetics of a Rigid Body: Force and Acceleration

  • Part 1: 17-24, 17-29, 17-30, 17-37, 17-51, 17-53
  • Part 2: 17-58, 17-61, 17-63, 17-69, 17-75, 17-87
  • Part 3: 17-91, 17-96, 17-103, 17-107, 17-109, 17-112

Chapter 18: Planar Kinetics of a Rigid Body: Work and Energy

  • Part 1: 18-3, 18-9, 18-14, 18-19, 18-25, 18-35
  • Part 2: 18-42, 18-50, 18-51, 18-58, 18-59, 18-65

Chapter 19: Planar Kinetics of a Rigid Body: Impulse and Momentum

  • Part 1: 19-1, 19-5, 19-18, 19-19, 19-20, 19-21
  • Part 2: 19-29, 19-31, 19-32, 19-38, 19-42, 19-50