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Modeling Scenario

3-080-PendulumModeling-ModelingScenario

Author(s): Brian Winkel

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

Keywords: pendulum period linearization

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Abstract

Resource Image We lead students through building model for several pendulum configurations in motion and ask students to compare results.

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Description

We shall presume we have purchased this pendulum apparatus from the ``Ideal Pendulum Company" and that there is no resistance to the motion, nor friction in the mechanism at O. We note that even though this is untrue we shall produce a model and do a reality check on it to see if the final motion really reflects our assumptions.

Build a differential equation model for this pendulum motion by constructing a Free Body Diagram for the mass m kg at the end of the rod and considering the External Forces tangential to the circular path of the pendulum in Newton's Second Law of Motion formulation.

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Authors

Author(s): Brian Winkel

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

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