System Modeling Coursework

P.R. VENKATESWARANFaculty, Instrumentation and Control Engineering,

Manipal Institute of Technology, ManipalKarnataka 576 104 INDIAPh: 0820 2925154, 2925152

Fax: 0820 2571071Email: pr.venkat@manipal.edu, prv_i@yahoo.com

Web address: http://www.esnips.com/web/SystemModelingClassNotes

Class 36: Modeling of Pendulum on cart

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WARNING!

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I claim no originality in all these notes. These are the compilation from various sources for the purpose of delivering lectures. I humbly acknowledge the wonderful help provided by the original sources in this compilation.

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For best results, it is always suggested you read the source material.

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Pendulum on Cart

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Force balance equations

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Force balance (Newton’s Second Law) applied to the horizontal movement of the center of gravity of the pendulum:

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Force balance applied to the vertical movement of the center of gravity of the pendulum:

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Force balance equations

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Torque balance (the rotational version of the Newton’s Second Law applied to the center of gravity of the pendulum:

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Force balance applied to the cart:

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Definition of the terms

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Definition of the terms

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And, before we break…

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Every fool should surprise us and not create pain

Thanks for listening…