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Modeling Scenario

3-001-SpringMassDataAnalysis-ModelingScenario

Author(s): Brian Winkel

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

Keywords: data damping spring-mass system Newton's Second Law of Motion spring constant Hooke's Law

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Abstract

Resource Image We offer data on position of a mass at end of spring over time where the spring mass configuration has damping due to taped flat index cards at the bottom of the mass. Modeling of a spring mass configuration and estimation of parameters are the core.

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Article Context

Resource Type
Differential Equation Type
Qualitative Analysis
Application Area
Technology
Approach
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Bloom's Cognitive Level

Description


We study a spring mass system with a spring attached to a horizontal rod on a ring stand and a Vernier Motion Detector under the mass to capture its displacement from a static equilibrium value at time intervals of 0.02 seconds over a time interval of about 30 seconds.

The motion detector is turned on and the spring is stretched downward and released. We collect the data and ignore (edit out) data from hand placement until a reasonable point in the motion when the oscillation is clear and clean. That cleaned up data is moved to an Excel spreadsheet and a  Mathematica notebook. The apparatus with the mass has an additional resistance material in the form of taped index cars on the mass. Thus the 200 g mass with  index cards taped to its base to offer more resistance makes for a total mass of 200.20626 g.

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Authors

Author(s): Brian Winkel

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

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