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Hmm so for a given weight the amount of lift needed to support the airplane (wing loading) will increase with a forward CG and decrease with an aft CF, even though weight is consant?
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As CG travels forward, more downward "lift" needs to be produced by the tail to keep the nose up and level, adding its downward lift vector to that of weight (1G, level flt assumed) that the main wing has to overcome. Therefore, the need for lift on the main wing increases (by increasing angle of attack, assuming constant airspeed) in order to maintain level flight, and thus the wing loading (lift/sq ft of wing area) increases.