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16.61 Aerospace Dynamics Spring 2003 So far we have approached this as a statics problem, but this is a dynamics course!! Recall d' alembert who made dynamics a special case of statics 6W=∑(R+F-mi)oor=0 →∑(F m1)·Or=0 2 So we can apply all of the previous results to the dynamics problem as well ommen Virtual work and virtual displacements play an important role in analytical dynamics, but fade from the picture in the application of the methods However, this is why we can ignore the calculation of the constraint forces Massachusetts Institute of Technology C How, Deyst 2003 (Based on Notes by Blair 2002)16.61 Aerospace Dynamics Spring 2003 So far we have approached this as a statics problem, but this is a dynamics course!! Recall díAlembert who made dynamics a special case of statics: ( ) ( ) i 1 1 0 0 R F r r F r r N i i i i i N i i i i i W m m = = = + − • − • = ∑ ∑ "" "" δ δ δ = ⇒ ! So we can apply all of the previous results to the dynamics problem as well. Comments: " Virtual work and virtual displacements play an important role in analytical dynamics, but fade from the picture in the application of the methods. " However, this is why we can ignore the calculation of the constraint forces. Massachusetts Institute of Technology © How, Deyst 2003 (Based on Notes by Blair 2002) 8
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