MAE 2030 - Dynamics

Spring, Summer. 4 credits. Letter grades only.

Prerequisite: ENGRD 2020 and MATH 2930. Corequisite: MATH 2940. Petitions to enroll in this class without having met the prerequisites are rarely allowed. Petitions must be made on the MAE departmental petition link on the MAE website. The course instructor does not make decisions on enrollment for this class.

Spring: D. Savransky; Summer: Staff.

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.

Outcome 1: Students will be able to draw free-body diagrams and vectors for mechanics.

Outcome 2: 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.

Outcome 3: 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.

Outcome 4: Students will be able to recognize simple harmonic motions for 1-degree-of-freedom mechanical systems.

Outcome 5: Students will be able to solve equations of motion numerically, and analytically in simple cases, and graphically show the resulting motion(s).

Outcome 6: 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.