The rigid body (slab) has a mass m and rotates with an angular velocity about an

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The rigid body (slab) has a mass m and rotates with an angular velocity ω about an axis passing through the fixed
point O. Show that the momenta of all the particles
composing the body can be represented by a single vector
having a magnitude mvG and acting through point P, called the center of percussion, which lies at a distance rP/G = k2G/rG/o from the mass center G. Here kG is the radius of gyration of the body, calculated about an axis perpendicular to the plane of motion and passing through G.

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