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3-105-S-FrequencyResponse
22 Jul 2020 | | Contributor(s):: Brian Winkel
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.
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3-034-S-CarSuspensions
14 Jul 2020 | | Contributor(s):: Therese Shelton, Brian Winkel
We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a "quarter car'', meaning a single wheel.
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3-026-S-SpringInverseProblem
29 May 2020 | | Contributor(s):: Brian Winkel
We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.
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3-031-S-SpringCost
28 May 2020 | | Contributor(s):: Brian Winkel
This is a situation where we are charged with analyzing costs for a spring to meet certain specifications.
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3-040-S-FirstPassageTime
07 Apr 2017 | | Contributor(s):: Brian Winkel
We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first passage time with several applications.
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3-002-S-ModelsMotivatingSecondOrder
30 Mar 2017 | | Contributor(s):: Brian Winkel
We introduce several basic, but substantial, approaches to modeling the motion of a spring mass system using a standard second order, linear, constant coefficient differential equation obtained from Newton's Second Law of Motion and a Free Body Diagram. We do this using a set of data...
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3-110-S-MilitarySpringMassApplication
25 Feb 2017 | | Contributor(s):: Randy Boucher, Ivan Dungan
The project is a collection of five different scenarios regarding the shock system of a trailer; the first three are chronological and the latter two are optional independent scenarios. In the first two scenarios, students must compare three different shock absorbers (or shocks) for the trailer....
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3-101-S-SpringMassFirstTry
22 Jul 2016 | | Contributor(s):: Keith Alan Landry, Brian Winkel
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3-030-S-SecondOrderIntro
22 Apr 2016 | | Contributor(s):: Brian Winkel
SPANISH LANGUAGE VERSION We have placed in Supporting Docs both Student and Teacher Version (LaTeX and PDF Versions) with a Spanish LaTeX Class file, SIMIODE-SPANISH.cls. Names will be x-y-S-Title-StudentVersion-Spanish and x-y--T-Title-TeacherVersion-Spanish.
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3-060-S-DataToDifferentialEquation
24 Dec 2015 | | Contributor(s):: Eric Sullivan, Kelly Cline
Students use their knowledge of second-order linear differential equations in conjunction with physical intuition of spring-mass systems to estimate the damping coefficient and spring constant from data. The data is presented as {%5Cit total distance traveled} instead of displacement so the...