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3-140-TwoSpringsOneMassFixedEnds-ModelingScenario

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

Keywords: mass undamped Free Body Diagram springs two springs oscil lation spring constant fixed ends

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Abstract

Resource Image Students build a model of a two spring, single mass with fixed end configuration and then plot solutions to experience the motion.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

We consider two springs (coils - top one thin as it has smaller spring constant and bottom one thicker as it has larger spring constant) and a mass (plate) in a vertical mode configuration. The top spring is attached at height 30 cm above where the lower spring is attached. We illustrate the configuration at two different positions.

The figure  shows the mass displaced vertically when the spring system is in the initial displacement position of 10 cm below the static equilibrium, i.e. at rest, while the figure on the right shows the mass displaced vertically at approximately the static equilibrium after it settles near time t = 8 sec.

Figures are in STudent Version.

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Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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