There are three sets of landing gear on an airplane: One main set is located under the centerline of each wing, and the third set is located beneath the nose of the plane. Each set of main landing gear has four tires, and the nose landing gear has two tires. If the load on all of the tires is the same when the plane is at rest, find the center of mass of the plane. Express your result as a fraction of the perpendicular distance between the centerline of the plane’s wings to the plane’s nose gear. (Assume that the landing gear struts are vertical when the plane is at rest and the dimensions of the landing gear are negligible compared to the dimensions of the plane.)
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