Q2. A system with mass, M = 1000 kg and 6 springs as shown is subjected to an impulsive force, F = 800 N at time t =0. If K1 = 5000 N/m, K2 = 4000 N/m, K3 = 5000 N/m, K4 =4000 N/m, K5 = 5000 N/m and K6 = 3000 N/m. (Spring 2 is nested in Spring 1 and Spring 4 is nested in Spring 3). [1%] Ignore the phase delay angle , and assume zero damping, determine the following: (a) The overall spring stiffness, Ke (answer Ke = 19875 N/m) (b) The oscillation frequency, fn, in Hz (c) Sketch the system displacement versus time graph. (d) Sketch the velocity versus time graph. (e) Sketch the acceleration versus time graph. (f) Calculate the Max Displacement, Max Velocity and Max Acceleration and the oscillation period and label these on your graphs. K3 M K4 K5 F K6 K1 K2