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Basic Modeling Tools and Computational Physics

Outline. Simple ToolsVenSimMATLABExcelExamplesModelingProjectile Motion (VenSim simulation, MATLAB simulation, Excel Simulation, Interactive Physics simulation)Calculator Systems of Equations (solve function in MATLAB)Bicycle Physics (MATLAB model). A simple problem seen many ways. Projec

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Basic Modeling Tools and Computational Physics

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    1. Basic Modeling Tools and Computational Physics David Joiner

    2. Outline Simple Tools VenSim MATLAB Excel Examples Modeling Projectile Motion (VenSim simulation, MATLAB simulation, Excel Simulation, Interactive Physics simulation) Calculator++ Systems of Equations (solve function in MATLAB) Bicycle Physics (MATLAB model)

    3. A simple problem seen many ways Projectile motion F = m x’’ Reduce to system of 2 first order equations Vensim Graphical solution Excel Euler’s method with sliders MATLAB Program directly or use solvers

    4. Modeling as homework help Object fired up a ramp towards plateau, where does object land? Students have difficulty choosing solution method Numerical solution and visualization can help guide problem solving

    5. Calculator ++ Systems of equations Show students ability to use technology to solve systems Focus on problem solving as setting up systems instead of searching for a chain of equations Linear Systems Block on table with friction Pulley Hanging block Non-linear systems Range of angles for field goal kick

    6. Calculator ++ The “Bike-o-matic 3000” Problem based activity Students study rotational physics by designing the gear ratio for a child’s bike (single gear w/ fixed ratio) MATLAB used as a worksheet to keep track of calculations, and to modify them for new inputs Students feed a gear ratio two teams at a time in a race simulator

    7. Bicycle Physics

    8. Questions?

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