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Draw OC making an angle 2 counterclockwise from OA. Line OC cut the other end of diameter at D. Then, the coordinate of point C are (Ix' , Ix'y') and those of the correspondong point D are ( Iy' , -Ix'y' ).

Second Moments and Products of Area in the rotated Coordinate System

What we can find out from Mohr's Circle?

Well, given Ixx , Iyy and Ixy relative to xy reference, you have been able to construct a Mohr's circle. Now, if you want to find out Ix'x' , Iy'y' and Ix'y' related to x'y' reference, which has been obtained by rotating xy reference counterclockwise by an angle , do this procedure.