For a rigid slab in plane motion, show that the system of the effective forces consists of vectors ors (mi)a, ??(mi)2ri, and (mi), (

For a rigid slab in plane motion, show that the system of the effective forces consists of vectors ors (Δmi)a, ??(Δmi)ω2ri, and (Δmi), (α × ri) attached to the various particles Pi of the slab, where a is the acceleration of the mass center G of the slab, ω is the angular velocity of the slab, α is its angular acceleration, and ri?? denotes the position vector of the particle Pi relative to G. Further show, by computing their sum and the sum of their moments about G, that the effective forces reduce to a vector ma attached at G and a couple I α.

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