The 64b slender rod is originally at rest, suspended in the vertical position. Determine...

The 64b slender rod is originally at rest, suspended in the vertical position. Determine the distance d where the 1-lb ball, traveling at v = 50 ft/s, should strike the rod so that it does not create a horizontal impulse at A. What is the rod's angular velocity just after the impact? Take e = 0.5.