Question: A lamina occupies the region inside the circle x 2 + y 2 = 2y but outside the circle x 2 + y 2 =

A lamina occupies the region inside the circle x2 + y2 = 2y but outside the circle x2 + y2 = 1. Find the center of mass if the density at any point is inversely proportional to its distance from the origin.

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