Lecture 7.pdf - Mechanical Systems Lecture 7 27-Feb-17 ME...

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Mechanical Systems Lecture 7 27-Feb-17 ME 413: System Dynamics and Control: Dr Tesleem Asafa 1
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Mathematical Modeling of Simple Mechanical Systems Rigid body: a body with negligible deformation upon subjected to an external force. Newton’s Laws: First Law : Total momentum of a mechanical system is constant in the absence of externa force Second Law: Rate of change of momentum is proportional to applied force. When this force is zero, then we have the first law. This is force- acceleration relationship …. F = ma Third law : To every action, there must be equal and opposite reaction. 27-Feb-17 ME 413: System Dynamics and Control: Dr Tesleem Asafa 2
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Newton’s second law The most useful and most applied of the three laws because the other laws are special cases of the second law For translational motion where force is applied along the center of mass: For Rotational motion 27-Feb-17 ME 413: System Dynamics and Control: Dr Tesleem Asafa 3
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Moment of Inertial about the geometric axis
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