(Solution) - Show that the system of the effective forces for a rigid slab -(2025 Original AI-Free Solution)

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Show that the system of the effective forces for a rigid slab in plane motion reduces to a single vector, and express the distance from the mass center G of the slab to the line of action of this vector in terms of the centroidal radius of gyration k of the slab, the magnitude a of the acceleration of G, and the angular acceleration ?.