A thin rod of mass 0.630 kg and length 1.24 m is at rest, hanging vertically from a strong fixed hinge at its top end. Suddenly a horizontal impulsive force 14.7N is applied to it.
(a) Suppose the force acts at the bottom end of the rod. Find the acceleration of its center of mass and the horizontal force the hinge exerts.
(b) Suppose the force acts at the midpoint of the rod. Find the acceleration of this point and the horizontal hinge reaction.
(c) Where can the impulse be applied so that the hinge will exert no horizontal force? This point is called the center of percussion.