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

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 from the mass center G. Here kG is the radius of gyration of the body, computed about an axis perpendicular to the plane of motion and passing through G.