Dynamics (Guaranteed - Spring)

REQUIRED TEXTBOOKS AND COURSE MATERIALS

Dynamics: Analysis and Design of Systems in Motion, by Benson H. Tongue, 2nd Edition, Wiley.
 

DESCRIPTION

Kinematics and kinetics of particles and rigid bodies in two and three dimensions; relative motion; work and energy; impulse and momentum.

The overall goal of this course is to learn how formulate and solve the equations of motion (i.e. the differential equations) that describe motion of a system of particles and/or rigid bodies. To do this you will use Newton’s laws and the principles of work-energy and impulse-momentum to solve a variety of problems involving both the kinematics and kinetics of a system of particles and/or rigid bodies.

OUTLINE

Topic 1: Intro to Dynamics
Topic 2: Coordinate Systems
Topic 3: Motion of Translating Bodies
Topic 4: Relative Motion
Topic 5: Pulleys
Topic 6: Cartesian and Polar Coordinates of Rigid Bodies
Topic 7: Path Coordinates of Rigid Bodies
Topic 8: Linear Momentum & Impulse
Topic 9: Angular Momentum & Impulse
Topic 10: Impact & Oblique Impact
Topic 11: Kinetic Energy
Topic 12: Potential Energy & Conservative Forces
Topic 13: Power & Efficiency
Topic 14: Force Balance & Linear Momentum of Multi-Particle Systems
Exam I: Topics 1-12
Topic 15: Angular Momentum of Multi-Particle Systems
Topic 16: Work and Energy
Topic 17: Mass Flow & Non-Constant Mass Flow
Topic 18: Relative Velocities on Rigid Bodies
Topic 19: Instantaneous Center of Rotation (ICR)
Topic 20: Rotating Reference Frames and Rigid Body Acceleration
Topic 21: Relative Motion on a Rigid Body
Topic 22: Curvilinear Translation
Topic 23: Rotation about a Fixed Point
Topic 24: General 2D Motion
Topic 25: Linear and Angular Momentum of Rigid Bodies
Topic 26: Work Energy of Rigid Bodies

STUDENT LEARNING/COURSE OUTCOMES

1. Recite Newton’s three laws of motion.
2. Convert a vector from one vector basis to another and use multiple reference frames to solve problems. Use rotating reference frames to solve problems.
3. Describe a particle’s motion in Cartesian, polar, and path coordinate systems.
4. Identify the number of degrees of freedom in a system.
5. Describe the kinematics of system of particles with both relative motion and constrained motion.
6. Identify the best approach to a given problem as force-acceleration, work-energy, or impulse-momentum
7. Use the force-balance, impulse-momentum, and work-energy methods to solve systems with single-particle systems, multiple-particle systems, and rigid bodies.
8. Determine the velocity/acceleration of a point on a rigid body if given the velocity/ acceleration of a different point and the body’s rotational motion.

ABET Outcomes:
(a) Ability to apply knowledge of math, science and engineering principles to civil engineering problems.
(e) Ability to identify, formulate, and solve engineering problems.
(k) Ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.