A classical mechanical Mass-Spring-Damper system is determined by the mass M, the spring constant k, the viscous damper c, and the force F. Assume the following parameters:

M = 12kg k = 100 N/m c = 15 N/(m/s) and sudden constant step force F0= 30N

One can show that the motion can be described by the damping coefficient and the natural frequency , where and

Create a plot using Matlab which shows x as a function of t in an interval of 0 to 10 seconds in 0.05 second steps. Discuss the final value of x(t). Could you have calculated that value without using the above equation?

F(t)