1. (25%). The figure below shows a mechanical vibratory system. When a 1 lb of force (step input) is applied to move an m lb body. The system oscillates as shown in the graph below. Find the body mass m and the spring and the damper constants, k and b, respectively. The transfer function of the system is described by 05 0.1 0.0 10 1 ms+bs + k www C 30 m Step Response 40 Time (econds) 60 X(t) F(t) 70 00 90