The 8 kg vertical uniform bar AB is hinged at C and is attached at A to a spring of constant k = 500 N/m. If end A is given a small displacement and released, determine the amplification factor and the magnitude of steady state response (for deflection at A), when a horizontal force of 20Sin(8t) (N) is applied at B. (L= 250 mm, distance from center of mass to C = 40mm)