Problem 1

The stiffness and damping properties of a mass-spring system with friction damping are to be

determined by a free vibration test. In this test, a mass, m = 0.5 lb*s²/in is displaced 0.5 in by a

jack and then suddenly released. At the end of 2 complete cycles, the time is 0.9 s and the

amplitude is 0.06 in. Determine the stiffness and friction coefficients. Plot the free vibration

response, u(t) from t = 0 to 2 s. At what time does the motion stop and what is the residual

displacement?