ENGN.2070-201 Dynamics (3-0-3), Spring 2018
Instructor
Prof. Tzuyang Yu (Falmouth Hall 107-C, (978) 934-2288, tzuyang_yu@uml.edu)
Time and Venue
Monday, Wednesday, and Friday 11:00AM~11:50AM, Falmouth Hall 209
Grader
Mr. Ian Sherriff (ian_sherriff@student.uml.edu)
Prerequisites
ENGN.2050 Statics and MATH.1320 Calculus II
Course Description
Vector development of kinematics of particles and rigid bodies with respect to fixed and moving coordinate systems of one, two, and three dimensions; the dynamics of particles, systems of particles, and rigid bodies; angular momentum and the inertial properties of rigid bodies; impulse, momentum and energy methods; and the behaviors of single-degree-of-freedom (SDOF) systems.
Grading Policy
There will be eight homework assignments (6% each), three quizzes (10% each), and one final exam (22%) in this course. The late policy for homework is stated as follows: (1) 50% reduction for ”up to one day” late; and (2) 100% reduction for ”more than one day” late.
Textbook
R.C. Hibbeler (2015), Engineering Mechanics – Dynamics, 14th ed., Prentice Hall, Upper Saddle River, NJ.
Schedule (see course syllabus)
Topics
- Fundamentals
- Rectilinear kinematics
- Curvilinear kinematics; motion of a projectile
- Curvilinear kinematics: normal and tangential components
- Curvilinear kinematics: cylindrical components
- Absolute dependent motion; relative motion
- Newton’s second law of motion; motion of particles
- Eqs. of motion: normal and tangential coord.; cylindrical coord.
- Principle of work and energy
- Conservative forces and potential energy
- Principle of linear impulse and momentum
- Conservation of linear momentum
- Impact -- Part 1, Part 2
- Angular momentum; principle of angular impulse and momentum
- Planar rigid-body motion; translation; rotation
- Relative-motion analysis: velocity
- Relative-motion analysis: acceleration
- Mass moment of inertia
- Planar kinetic equations of motion; translation; rotation
- General plane motion
- Kinetic energy; principle of work and energy
- Conservation of energy
- Linear and angular momentum of rigid bodies; impulse and momentum
- Conservation of momentum
- Three-dimensional rotation of rigid bodies; Euler’s theorem
- Three-dimensional general motion of rigid bodies
- Three-dimensional moments and products of inertia
- Angular moment and kinetic energy of three-dimensional rigid bodies
- Angular moment and kinetic energy of three-dimensional rigid bodies
- Three-dimensional angular momentum
- Three-dimensional equations of motion
- Three-dimensional gyroscopic motion
- Energy method in dynamics
- Undamped forced vibration of SDOF systems
Homework Assignments
Quizzes and Exams