The 5-kg uniform rod AC is attached to springs of constant k = 500 N/m at B and k =620 N/m at C, which can act in tension or compression. If the end C of the rod is depressed slightly and released, determine
(a) the frequency of vibration,
(b) the amplitude of the motion of point C, knowing that the maximum velocity of that point is 0.9 m/s.