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- Catalog Description
- 542 Advanced Dynamics. I; 3 cr. Kinematics and kinetics of plane and three-dimensional motion, Coriolis acceleration, general methods of linear and angular momentum, central force motion, gyrodynamics, generalized coordinates. Lagrange's equations. P: EMA 202 or 221; EMA 304 or 306/307; Math 223; or cons inst.
- Course Prerequisite(s)
- statics, dynamics and strength of materials
- Calculus
- Differential equations
- Prerequisite knowledge and/or skills
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This course requires a basic knowledge of fundamental calculus and differential equations. The course also requires a mastery of planar rigid body dynamics, with an emphasis on the formulation of dynamic equations of motion.
- Textbook(s) and/or other required material
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J. H. Ginsberg, Advanced Engineering Dynamics, Harper & Row, 1988.
- Course objectives
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Course Objectives: It is the instructor's intention to...
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expose students to career opportunities in Engineering Mechanics related to dynamics.
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expose students to faculty experiences in industry related to dynamics.
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teach students the basics and applications of stationary and rotating coordinate systems.
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teach students the basics and applications of linear and angular momentum methods.
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provide students with opportunities to practice written communication skills.
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provide students with opportunities to work in teams.
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teach students to use computers for numerical and analytical solution of engineering dynamics problems.
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prepare students to use proper engineering judgment and make proper ethical decisions.
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Course Outcomes: Students must be able to...
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obtain information concerning careers and opportunities in Engineering Mechanics related to dynamics.
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formulate and solve problems using rotating coordinate systems to describe the motion of systems of particles and rigid bodies.
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formulate and solve problems using impulse-momentum to generate equations of motion for systems of particles and rigid bodies.
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formulate and solve problems by applying Euler's equations to gyroscopic systems.
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use computer techniques to numerically solve equations of motion for systems of particles and rigid bodies.
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use techniques in sound engineering judgment to make decisions concerning validity of analysis results.
- Topics covered
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Advanced kinematics of particles and rigid bodies (18 classes):
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Path, cylindrical and spherical coordinate systems
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Rotation transformations
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Angular velocity and derivatives of rotation vectors
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Angular acceleration
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Derivative of an arbitrary vector in rotating coordinates
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Velocity and acceleration using moving reference frames
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Coriolis effect for motion relative to the rotating Earth
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Euler angles
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Interconnections between multiple bodies
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Rolling constraints
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Advanced applications of rigid body kinematics
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Advanced kinetics of particles and rigid bodies (22 classes):
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Angular momentum of particles as referred to a fixed point, the mass center, and an arbitrary moving point
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Angular momentum of a rigid body as referred to a fixed point, the mass center, and an arbitrary moving point.
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Moments and products of inertia -- inertia tensor.
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Principal axes of inertia
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Transformation of inertia properties
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Rate of change of angular momentum
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Euler's equations of motion
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Gyroscopic motion and gyroscopic forces
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Impulse-momentum and work-energy principles
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Applications of Euler's equations and impulse-momentum principles to three-dimensional mechanical systems
- Class/laboratory schedule
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This course meets three times per week for conventional 50-minute lectures.
- Contribution of course to meeting the professional component
- This course contributes primarily to the students' knowledge of engineering topics, and does provide design experience.
The following statement indicates which of the following considerations are included in this course: economic, environmental, ethical, political, societal, health and safety, manufacturability, sustainability.
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The focus of EMA 542 is on advanced dynamics, and there is little coverage of ABET's supplemental topics (economics, environmental, etc.)
- Relationship of course to undergraduate degree program objectives and outcomes
- This course primarily serves students in the department. The information below describes how the course contributes to the undergraduate program objectives.
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EMA 542 is focused to satisfy the EMA educational objectives by providing an education in advanced dynamics via problem-solving and design-focused group projects, especially relevant to the astronautics option. It also provides students with the opportunity to work in teams and prepare a written report on their group design project.
- Assessment of student progress toward course objectives
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Weekly problem sets
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Two in-class hour exams
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Reviews of Engineering Technical Papers
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Group design project
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Final Exam
- Person(s) who prepared this description
