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16.61 Aerospace Dynamics Spring 2003 Note: Could have found the generalized forces using the coordinate system mapping ox +F o For example the gravity force mg, y=-qsin 8 sin e O.=mg 0 Massachusetts Institute of Technology C How, Deyst 2003 (Based on Notes by Blair 2002)16.61 Aerospace Dynamics Spring 2003 • Note: Could have found the generalized forces using the coordinate system mapping: 1 r i i i p i i q x y z i r r x i r y z Q F F F = q q   q ∂ ∂ ∂ = +   + ∂ ∂ ∂   ∑ o o For example, the gravity force: , sin , sin i r i y i q y F mg y q q Q mg sin ∂ = − = ∂ − = = θ θ θ − ⇒ Massachusetts Institute of Technology © How, Deyst 2003 (Based on Notes by Blair 2002) 6
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