MAE 2030
Dynamics
Newtonian dynamics of a particle, systems of particles, rigid bodies, simple mechanisms and simple harmonic oscillators. Impulse, momentum, angular momentum, work and energy. Two-dimensional (planar) kinematics including motion relative to a moving reference frame. Three dimensional rigid-body dynamics are introduced at the instructor's option. Setting up the differential equations of motion and solving them both analytically and numerically with MATLAB. In-lecture laboratory demonstrations illustrate basic principles.
Topics
- Students will be able to draw free-body diagrams and vectors for mechanics.
- Students will be able to describe particle motion in 1-D, 2-D and 3-D employing Cartesian, polar, and path coordinates, and rotating coordinate systems.
- Students will be able to apply Newton/Euler laws, momentum and work-energy principles to the motion of particles and rigid bodies to find equations of motion and conserved quantities.
- Students will be able to recognize simple harmonic motions for 1-degree-of-freedom mechanical systems.
- Students will be able to solve equations of motion numerically, and analytically in simple cases, and graphically show the resulting motion(s).
- Students will be able to understand measurement of displacement, velocity and acceleration - and use such data to characterize the kinematics of simple mechanisms and 1-degree-of-freedom mechanical systems.
Official roster learning outcomes
Prerequisites & course information
ENGRD 2020 and MATH 2930.
Catalogue variants
- Dynamics · 4.0 · Undergraduate