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A yummy glazed doughnut is shown above. 1) where is the center of mass of this fantastic culinary delight? in the center of the hole. somewhere inside the solid part of the doughnut the center of mass is not defined in cases where mass is missing.

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Answer: In the center of the hole.

The center of mass could be calculated by considering the doughnut as consisting of (a) a solid filled-in donut, minus (b) the filled in mass.
Because of symmetry, the center of mass of both masses lies at the same center of the concentric circles.
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