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# Where the center of mass is located on an airplane is

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Unformatted text preview: ted on an airplane is very important since it affects the stability of the plane. In order to find this balancing point we need to first find the First Moments: the moment with respect to the x-axis and the moment with respect to the y-axis. (remember moments are used to solve problems of balance and rotation) Again, we have already approached this problem in 101B with the 1D case: First Moment = where x1 is the distance from the origin and m1 is the point mass. In 2D, we have two moments since we have the distance the mass is from the x-axis and the distance the mass is from the y-axis. Our goal is to find the balancing point in two directions – making sure it doesn’t rotate around the x-axis nor the y-axis. We will let My represent the moment with respect to the y-axis and Mx represent the moment with respect to the x-axis. For My we need to find out how far our mass ( Thus ) is from the y-axis which is given by the x-coordinate. The same logic holds for the moment with the x-axis: These moments are a measure of the distribution of the mass of the lamina with respect to the x and y-axis. We can now use this informati...
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