3-002-S-ModelsMotivatingSecondOrder

By Brian Winkel

SIMIODE, Cornwall NY USA

Published on

Abstract

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 collected from an oscillating mass on a spring in a home office setting using off the shelf motion detection device. Estimating parameters in the models is emphasized with validation rendered by comparing model prediction and data.

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Researchers should cite this work as follows:

  • Brian Winkel (2017), "3-002-S-ModelsMotivatingSecondOrder," https://www.simiode.org/resources/3427.

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