MAE 2030

Dynamics

Course Description

Course information provided by the Courses of Study 2021-2022.

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.

When Offered Spring, Summer.

Prerequisites/Corequisites Prerequisite: ENGRD 2020, MATH 2930, familiarity with MATLAB, or permission of instructor. Corequisite: MATH 2940.

• 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.

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