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ME 3214 – Dynamics of Particles and Rigid Bodies
Credits and Contact Hours: 3 Credits. Three 50 minute or two 75 minute lectures per week.
Instructors: George Lykotrafitis
Specific Course Information:
a. Catalog Description: Kinematics and dynamics of particles. Motion relative to a
translating and rotating observers; inertial reference systems; central forces and orbits.
Kinematics and dynamics of groups of particles and rigid bodies. Lagrangian description
of motion.
b. Prerequisites: CE 2120
c. Required, Elective or Selected Elective: Elective
Specific Goals:
a. Course Outcomes:
After completing ME 3214 students should be able to:
1. Utilize Cartesian, polar or cylindrical coordinates to describe velocity, acceleration,
and relative motion.
2. Apply Newton’s second law and equations of motion in various coordinates systems
for a system of particles and for a system of variable mass.
3. Compute work from forces, power and efficiency, angular momentum, rate of change
of angular momentum, potential and kinetic energy.
4. Apply conservation of energy and principle of impulse and momentum.
5. Compute centroids, first moments, and moments of Inertia.
6. Compute rigid-body velocity and acceleration with respect to a rotating reference
7. Apply equations of rigid-body motion in curvilinear translation and in rotation about
a fixed point.
8. Compute linear momentum, angular momentum, potential energy, and kinetic of twodimensional rigid-bodies.
9. Apply equations of motion of a three-dimensional rigid-body.
b. Relationship of Course Outcomes to Criterion 3 Student Outcomes:
an ability to apply knowledge of mathematics, science, and engineering:
This course specifically develops fundamentals and advanced problem solving
skills using vector mathematics and scientific principles of dynamics, and
emphasizes recognition of the principles used.
an ability to design and conduct experiments, as well as analyze and interpret
data: not applicable
an ability to design a system, component, or process to meet desired needs: not
an ability to function on multi-disciplinary teams: not applicable
an ability to identify, formulate, and solve engineering problems:
Solving problems in dynamics is the main thrust of this course. In addition,
selected problems are assigned in which formulation and solution approach are
not predetermined.
an understanding of professional and ethical responsibility: not applicable
an ability to communicate effectively: not applicable
the broad education necessary to understand the impact of engineering solutions
in a global and societal context: not applicable
a recognition of the need for, and an ability to engage in life-long learning:
Class discussion will often consider the need for continued learning, and students
will learn one section of the material independently with a follow up lecture
following the submission of their solutions.
a knowledge of contemporary issues: not applicable
an ability to use the techniques, skills, and modern engineering tools necessary for
engineering practice:
Students will be required to use commercial software (preferably MatLab) to
solve eigen value problems.
Topics Covered:
Vector mathematics
Particle kinematics
Rigid body kinematics
Multiple rotating reference frames
Derivative of a vector
Relative motion
3D kinematics
Moments and products of inertia
Principal moments of inertia as an eigen value problem
Impulse momentum in 3D
Conservation of Energy in 3D
Kinetic equations in 3D
Euler’s Equations
Gyroscopic motion