Course Information

• Course Title: Dynamics
• Course Code: 2014054
• Credits: 3
• Class Schedule:
  • Days: Sunday, Thuesday
  • Time: 14:00-16:00
• Class Location: Class 9, Class 32
• Instructor: Seyed Sadjad Abedi-Shahri
  • Email: AbediSadjad@gmail.com
  • Office Hours: Saturday - 14:00-16:00

• Lecture Materials: Provided weekly in LMS.
• Announcements

Course Overview

This course introduces the fundamental principles of dynamics, focusing on the theoretical aspects of particle and rigid body motion, force analysis, and energy methods, and their relevance to human movement and biomechanical systems. While the course primarily addresses traditional dynamics concepts, occasional examples related to human body mechanics will also be provided.

Learning Objectives

By the end of the course, students will be able to:

1. Understand and apply the principles of kinematics and kinetics for particles and rigid bodies.
2. Use work-energy and impulse-momentum methods for solving dynamic problems.
3. Analyze three-dimensional motion and dynamics of rigid bodies.
4. Relate classical mechanics principles to biomechanics applications such as human motion analysis.

Syllabus

1. Kinematics of a Particle
2. Kinetics of a Particle: Force and Acceleration
3. Kinetics of a Particle: Work and Energy
4. Kinetics of a Particle: Impulse and Momentum
5. Planar Kinematics of a Rigid Body
6. Planar Kinetics of a Rigid Body: Force and Acceleration
7. Planar Kinetics of a Rigid Body: Work and Energy
8. Planar Kinetics of a Rigid Body: Impulse and Momentum
9. Three-Dimensional Kinematics and Kinetics of a Rigid Body
10. Related Topics in Biomechanics

References

1. [HIB] Engineering Mechanics: Dynamics [14th ed.] by Russell C. Hibbeler
2. [MER] Engineering Mechanics: Dynamics [6th ed.] by J.L. Meriam and L. Kraige
3. [PYT] Engineering Mechanics: Dynamics [3rd ed.] by Andrew Pytel and Jaan Kiusalaas
4. [OZK] Fundamentals of Biomechanics [4th ed.] by Nihat Özkaya, David Goldsheyder, and Margareta Nordin
5. [TOZ] Human Body Dynamics: Classical Mechanics and Human Movement by Aydin Tozeren

Evaluation Scheme

1. Midterm Evaluation: 35 points

   • Covers Chapters 1-4.

2. Final Evaluation: 50 points

   • Covers all remaining chapters.

3. Continuous Evaluation: 15 points

   • Based on exercises, quizzes, and participation during lectures and discussions.

4. Extracurricular Activities (optional): Up to 10 bonus points

   • Awarded for participation in activities such as group projects, presentations, or relevant research outside the classroom.

Session Outline

• Lecture 1: Kinematics of a Particle - Part 1
  • Introduction
  • Rectilinear Kinematics: Continuous Motion
  • Rectilinear Kinematics: Erratic Motion
• Lecture 2: Kinematics of a Particle - Part 2
  • General Curvilinear Motion
  • Curvilinear Motion: Rectangular Components
  • Motion of a Projectile
  • Curvilinear Motion: Normal and Tangential Components
• Lecture 3: Kinematics of a Particle - Part 3
  • Curvilinear Motion: Cylindrical Components
  • Absolute Dependent Motion Analysis of Two Particles
  • Relative-Motion of Two Particles Using Translating Axes
• Lecture 4: Kinetics of a Particle: Force and Acceleration
  • Newton’s Second Law of Motion
  • The Equation of Motion
  • Equation of Motion for a System of Particles
  • Equations of Motion: Rectangular Coordinates
  • Equations of Motion: Normal and Tangential Coordinates
  • Equations of Motion: Cylindrical Coordinates
• Lecture 5: Kinetics of a Particle: Work and Energy
  • The Work of a Force
  • Principle of Work and Energy
  • Principle of Work and Energy for a System of Particles
  • Power and Efficiency
  • Conservative Forces and Potential Energy
  • Conservation of Energy
• Lecture 6: Kinetics of a Particle: Linear Impulse and Momentum
  • Principle of Linear Impulse and Momentum
  • Principle of Linear Impulse and Momentum for a System of Particles
  • Conservation of Linear Momentum for a System of Particles
  • Impact
• Lecture 7: Kinetics of a Particle: Angular Impulse and Momentum
  • Angular Momentum
  • Relation Between Moment of a Force and Angular Momentum
  • Principle of Angular Impulse and Momentum
  • Steady Flow of a Fluid Stream
• Lecture 8: Planar Kinematics of a Rigid Body - Part 1
  • Planar Rigid-Body Motion
  • Translation
  • Rotation about a Fixed Axis
  • Absolute Motion Analysis
• Lecture 9: Planar Kinematics of a Rigid Body - Part 2
  • Relative-Motion Analysis: Velocity
  • Instantaneous Center of Zero Velocity
• Lecture 10: Planar Kinematics of a Rigid Body - Part 3
  • Relative-Motion Analysis: Acceleration
  • Relative-Motion Analysis Using Rotating Axes
• Lecture 11: Planar Kinetics of a Rigid Body: Force and Acceleration - Part 1
  • Mass Moment of Inertia
  • Planar Kinetic Equations of Motion
  • Equations of Motion: Translation
• Lecture 12: Planar Kinetics of a Rigid Body: Force and Acceleration - Part 2
  • Equations of Motion: Rotation about a Fixed Axis
  • Equations of Motion: General Plane Motion
• Lecture 13: Planar Kinetics of a Rigid Body: Work and Energy
  • Kinetic Energy
  • The Work of a Force
  • The Work of a Couple Moment
  • Principle of Work and Energy
  • Conservation of Energy
• Lecture 14: Planar Kinetics of a Rigid Body: Impulse and Momentum
  • Linear and Angular Momentum
  • Principle of Impulse and Momentum
  • Conservation of Momentum

Additional Information

Prerequisites

Students are expected to have a basic understanding of:

• Calculus II
• Statics

Policies

1. Attendance is not mandatory but may influence your continuous evaluation score. Regular attendance is strongly recommended to stay on track with course material.
2. Students are expected to arrive on time. Late arrivals may disrupt the class and could impact participation evaluation.
3. Collaboration on assignments, exercises, and projects is encouraged. However, all submissions must reflect individual understanding and adhere to academic integrity policies. Plagiarism or copying will not be tolerated.

Announcements