Class 36 - Modeling of Pendulum on Cart
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Transcript of Class 36 - Modeling of Pendulum on Cart
System Modeling Coursework
P.R. VENKATESWARANFaculty, Instrumentation and Control Engineering,
Manipal Institute of Technology, ManipalKarnataka 576 104 INDIAPh: 0820 2925154, 2925152
Fax: 0820 2571071Email: [email protected], [email protected]
Web address: http://www.esnips.com/web/SystemModelingClassNotes
Class 36: Modeling of Pendulum on cart
July – December 2008 prv/System Modeling Coursework/MIT-Manipal 2
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.
July – December 2008 prv/System Modeling Coursework/MIT-Manipal 3
Pendulum on Cart
July – December 2008 prv/System Modeling Coursework/MIT-Manipal 4
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:
July – December 2008 prv/System Modeling Coursework/MIT-Manipal 5
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:
July – December 2008 prv/System Modeling Coursework/MIT-Manipal 6
Definition of the terms
July – December 2008 prv/System Modeling Coursework/MIT-Manipal 7
Definition of the terms
July – December 2008 prv/System Modeling Coursework/MIT-Manipal 8
And, before we break…
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Every fool should surprise us and not create pain
Thanks for listening…