Transcription of Derivation of Equations of Motion for Inverted Pendulum ...
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Derivation of Equations of Motion for Inverted Pendulum ...
BackgroundInverted PendulumVisualizationDerivation Without OscillatorDerivation With OscillatorDerivation of Equations of Motion forInverted Pendulum ProblemFilip JeremicMcMaster UniversityNovember 28, 2012 BackgroundInverted PendulumVisualizationDerivation Without OscillatorDerivation With OscillatorKinetic EnergyDefinitionThe energy which an object possesses due to its motionIt is defined as the work needed to accelerate a body of agiven mass from rest to its stated velocityIn classical mechanics, the kinetic energyEkof a point objectis defined by its massmand velocityv:Ek=12mv2 BackgroundInverted PendulumVisualizationDerivation Without OscillatorDerivation With OscillatorKinetic EnergyDefinitionThe energy which an object possesses due to its motionIt is defined as the work needed to accelerate a body of agiven mass from rest to its stated velocityIn classical mechanics, the kinetic energyEkof a point objectis defined by its massmand velocityv:Ek=12mv2 BackgroundInverted PendulumVisualizationDerivation Without OscillatorDerivation With OscillatorKinetic EnergyDefinitionThe energy which an object possesses due to its motionIt is defined as the work needed to accelerate a body of agiven mass from rest to its stated velocityIn classical mechanics, the kinetic energyEkof a point objectis defined by its massmand velocityv.
BackgroundInverted PendulumVisualizationDerivation Without OscillatorDerivation With Oscillator Derivation of Equations of Motion for Inverted Pendulum Problem
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