Determine the position of the center of percussion P of the slender bar of weight W. What is the horizontal force at the pin when the bar is struck at P with force F?

Data from problem 65

The kinetic diagram representing the general rotational motion of a rigid body about a fixed axis at O is shown in the figure. Show that I_Gα may be eliminated by moving the vectors m(a_Gt) and m(a_Gn) to point P, located a distance r_GP = k_G²/r_OG from the center of mass G of the body. Here k_G represents the radius of gyration of the body about G. The point P is called the center of percussion of the body.

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Given: W = 10 lb F = 20 lb L = 4 ft 8 = 32.2 ft 2 S