ESC-212 Dynamics
This course is the second semester of a two-semester sequence in Engineering Mechanics. It presents the fundamental laws of Newtonian dynamics for particles and rigid bodies, provides a rigorous methodology for solution of problems, and presents a wide variety of examples of application. Subject areas discussed are kinematics and kinetics of particles and rigid bodies including rectilinear, relative, curvilinear, rotational and, plane motion; Newton's Laws, dynamic equilibrium, angular momentum, work-energy principle, impulse-momentum principle, and angular momentum.
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Course Outline
Department
Science and Technology
Course Description
This course is the second semester of a two-semester sequence in Engineering Mechanics. It presents the fundamental laws of Newtonian dynamics for particles and rigid bodies, provides a rigorous methodology for solution of problems, and presents a wide variety of examples of application. Subject areas discussed are kinematics and kinetics of particles and rigid bodies including rectilinear, relative, curvilinear, rotational and, plane motion; Newton's Laws, dynamic equilibrium, angular momentum, work-energy principle, impulse-momentum principle, and angular momentum.
Credit Hours
3Course Learning Outcomes
- Calculate the kinematic quantity of an object that is assumed to be a particle.
- Calculate the kinetic quantity of an object that is assumed to be a particle.
- Calculate the kinematic quantity of an object that is assumed to be a rigid body.
- Apply the principles of dynamics to fundamental engineering problems.
Topic Outline
- 1. Introduction and rectilinear motion of particles: position, velocity, and acceleration
- 2. Uniform and uniformly accelerated rectilinear motions, and dependent motions
- 3. Curvilinear motion of a particle and derivatives of vector functions
- 4. Rectangular components of velocity and acceleration, and projectile motion
- 5. Tangential and normal components of curvilinear motion
- 6. Radial and transverse components of curvilinear motion
- 7. Newton's second law
- 8. Linear momentum
- 9. Equations of motion
- 10. Angular momentum
- 11. Newton's law of gravity
- 12. Trajectory of a particle under a central force, and application to space mechanics
- 13. Energy method, work of a force, kinetic energy of a particle, and the principle of work and energy
- 14. Potential energy, conservative forces, and conservation of energy
- 15. Momentum method and the principle of impulse and momentum
- 16. Impact, direct and oblique central impact, and problems involving energy and momentum
- 17. Translation and rotation about a fixed axis
- 18. General plane motion, and absolute and relative velocity in plane motion
- 19. Instantaneous center of rotation in plane motion
- 20. Absolute and relative acceleration in plane motion
- 21. Plane motion of a particle relative to a rotating frame, and Coriolis acceleration
- 22. Equations of motion for a rigid body in plane motion
- 23. Principle of work and energy for the plane motion of a rigid body
- 24. Principle of impulse and momentum for the plane motion of a rigid body