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I was visualizing a rectangular plate in the xy plane with a hole near the left end and a vertical force on the right end. The cylindrical surface of the hole is fixed. The moment, equal to the force times the distance to the hole, is carried by tangential forces on the surface of the hole summing to the moment divided by the radius of the hole. You could use another coordinate system besides Global Cartesian, but to get meaningful force resultants it should be a cartesian coordinate system, not cylindrical.