Chapter 17.2, Problem 17.68P

Consider a rigid body initially at rest and subjected to an impulsive force F contained in the plane of the body. We define the center ofpercussionP as the point of intersection of the line of action of F with the perpendicular drawn from G. (a) Show that the instantaneous center of rotation C of the body is located on line GP at a distance $GP={\bar{k}}^2/GP$ on the opposite side of G. (b) Show that if the center of percussion were located at C, the instantaneous center of rotation would be located at P.