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  • https://math.libretexts.org/Bookshelves/Calculus/Supplemental_Modules_(Calculus)/Integral_Calculus/6%3A_Moments_and_Centroids
    Suppose that we have a teeter totter and a 10 kg child is on the left 5 meters from the center of the teeter totter and a 15 kg child is on the right 4 meters from the center of the teeter totter. We ...Suppose that we have a teeter totter and a 10 kg child is on the left 5 meters from the center of the teeter totter and a 15 kg child is on the right 4 meters from the center of the teeter totter. We can say that if the center of the teeter totter was 0.4 meters from the current center, then the children would be in balance. where \(A\) is the area of the region and \(r\) is the distance from the centroid (constant density) to the axis of rotation.

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