Course

Engineering Systems in Motion: Dynamics of Particles and Bodies in 2D Motion

Georgia Institute of Technology

This course offers a comprehensive study of bodies in motion, focusing on the dynamics of particle and rigid planar (2D) motion in engineering systems. It covers both kinematics and kinetics, exploring the geometrical aspects of motion and the forces affecting bodies' motion. The course assumes a solid grasp of basic engineering mechanics concepts and builds upon them to delve into the dynamics of motion.

Throughout the course, students will explore modules that delve into particle kinematics and kinetics, work-energy principles for particles and systems of particles, planar rigid body kinematics, and planar rigid body kinetics. The curriculum also covers the development of the work-energy principle, impulse-momentum relationships, and conservation of momentum for rigid bodies in 2D planar motion.

  • Comprehensive study of bodies in motion in engineering systems
  • Covers both kinematics and kinetics
  • Assumes a solid grasp of basic engineering mechanics concepts
  • Explore particle kinematics and kinetics, work-energy principles, planar rigid body kinematics, and planar rigid body kinetics

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Engineering Systems in Motion: Dynamics of Particles and Bodies in 2D Motion
Course Modules

This course comprises modules covering particle kinematics and kinetics, work-energy principles, planar rigid body kinematics, and planar rigid body kinetics, offering a comprehensive exploration of bodies in motion in engineering systems.

Course Introduction; Particle Kinematics; Particle Kinetics – Newton’s Laws and Euler’s Laws; Motion of Particles and Mass Centers of Bodies

This module provides an introduction to particle kinematics, including rectilinear motion and the position, velocity, and acceleration of particles. It also delves into the kinematics of curvilinear motion using tangential and normal coordinates.

  • Comprehensive introduction to particle kinematics
  • Coverage of rectilinear and curvilinear motion
  • Focus on position, velocity, and acceleration of particles

Work-Energy Principle for Particles/Systems of Particles

Module 2 explores work-energy principles for particles and systems of particles, including work done by gravity and friction. It also covers impulse-momentum relationships and the conservation of momentum for rigid bodies in 2D planar motion.

  • Exploration of work-energy principles for particles and systems of particles
  • Comprehensive coverage of impulse-momentum relationships
  • Focus on conservation of momentum for rigid bodies in 2D planar motion

Planar (2D) Rigid Body Kinematics I

This module delves into planar rigid body kinematics, including the identification of different types of planar rigid body motion and the derivation of relative velocity and acceleration equations. It also covers the instantaneous center of zero velocity.

  • Comprehensive exploration of planar rigid body kinematics
  • Coverage of relative velocity and acceleration equations
  • Focus on the instantaneous center of zero velocity

Planar (2D) Rigid Body Kinematics II

Module 4 continues the exploration of planar rigid body kinematics, focusing on the acceleration of wheels rolling on fixed surfaces and plane curves. It also addresses the velocity and acceleration of the same point relative to different reference frames or bodies in planar motion.

  • Continued exploration of planar rigid body kinematics
  • Focus on the acceleration of rolling wheels and relative point velocity and acceleration

Planar (2D) Rigid Body Kinetics I

Module 5 delves into planar rigid body kinetics, covering the development of kinetic equations for bodies in 2D planar motion, and the determination of mass moments of inertia and products of inertia. It also explores the equations of motion for rigid bodies in 2D planar motion.

  • Comprehensive exploration of planar rigid body kinetics
  • Coverage of kinetic equations and mass moments of inertia
  • Focus on equations of motion for rigid bodies in 2D planar motion

Planar (2D) Rigid Body Kinetics II

Module 6 continues the exploration of planar rigid body kinetics, focusing on the development of the work-energy principle for rigid bodies in 2D planar motion. It also covers the calculation of kinetic energy and the radius of gyration for bodies in 2D planar motion.

  • Continued exploration of planar rigid body kinetics
  • Comprehensive coverage of the work-energy principle for rigid bodies
  • Focus on the calculation of kinetic energy and the radius of gyration

Planar (2D) Rigid Body Kinetics III

Module 7 concludes the course, delving into the principle of impulse-momentum for rigid bodies in 2D planar motion and the conservation of momentum for rigid bodies. It also provides a course conclusion, wrapping up the comprehensive study of bodies in motion in engineering systems.

  • Exploration of the impulse-momentum method for rigid bodies
  • Focus on the conservation of momentum for rigid bodies
  • Comprehensive course conclusion
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