Solve the below problem:
Q: A 30-kg uniform circular plate of radius r is supported by a ball-and socket joint at point A and is at rest in the vertical xy plane when a bullet with a mass of 15 g is fired with the velocity v0 = - (210 m/s)k and hits the plate at point C. Knowing that r = 400 mm and h = 700 mm, determine
(a) The angular velocity of the plate immediately after the bullet becomes embedded,
(b) The impulsive reaction at point A, assuming that the bullet becomes embedded in 1.1ms.