A bullet weighing 0.08 lb is fired with a horizontal velocity of 1800 ft/s into the lower end of a slender 15-lb bar of length L= 30 in. Knowing that h = 12 in. and that the bar is initially at rest, determine
(a) the angular velocity of the bar immediately after the bullet becomes embedded,
(b) the impulsive reaction at C, assuming that the bullet becomes embedded in 0.001 s.