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Find the Center of Mass of the Lamina That Occupies x2+y21x ^ { 2 } + y ^ { 2 } \leq 1

Question 142

Essay

Find the center of mass of the lamina that occupies the part of the disk x2+y21x ^ { 2 } + y ^ { 2 } \leq 1 in the first quadrant if the density at any point is proportional to the square of its distance from the origin.

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