Solved: The rigid body (slab) has a mass m and rotates
Chapter 19, Problem 19-1(choose chapter or problem)
The rigid body (slab) has a mass m and rotates with an angular velocity \(\mathbf{\omega}\) 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 \(m v_{G}\) and acting through point P, called the center of percussion, which lies at a distance \(r_{P / G}=k_{G}^{2} / r_{G / O}\) from the mass center G. Here \(k_{G}\) is the radius of gyration of the body, computed about an axis perpendicular to the plane of motion and passing through G.
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