In this class, we reviews the principles in Newtonian mechanics and extend them such that we could solve many applied dynamics problems in mechanical engineering. We will treat the Newton's Laws of motion such that they can be easily used in the three dimensional space even with respect to a non-inertial reference frame. Students will study the basics in the kinematics and kinetics of a particle, a system of particles, and rigid bodies. The basics of Lagrangian dynamics will be introduced for easier formulations of some complicated dynamics problems. Typical application cases of dynamics will be treated in mechanical engineering such as the velocity and acceleration, impulse and momentum, work and energy of some components in cam systems, rotating systems as gears, and rotors.

Physics Part I.

Applies Mechanics: Dynamics by George W. Housner and Donald E. Hudson

Week 1: Textbook Chapter 11
Week 2: Textbook Chapter 11 & 12
Week 3: Textbook Chapter 13
Week 4: Textbook Chapter 14
Week 5: Textbook Chapter 15
Week 6: Textbook Chapter 15 & 16
Week 7: Textbook Chapter 16 & 17
Week 8: Midterm exam
Week 9: Textbook Chapter 17 & 18
Week 10: Textbook Chapter 18
Week 11: Generalized coordinates & derivation of Lagrange Equations
Week 12: Derivation of Lagrange equation for the motion with Holonomic constraints
Week 13: Lagrangian dynamics
Week 14: Lagrangian dynamics
Week 15: Lagrangian dynamics
Week 16: Final Exam