The 25-lb thin plate is suspended from a ball-and-socket joint at O. A 0.2-lb projectile is fired with a velocity of v = {-300i - 250j + 300k} ft/s into the plate and becomes embedded in the plate at point A. Determine the angular velocity of the plate just after impact and the axis about which it begins to rotate. Neglect the mass of the projectile after it embeds into the plate.

X 0.5 ft 0 N -0.5 ft 0.25 ft A -y 0.75 ft 0.25 ft