A spring-mass system is modeled by the equation(a) Show that the system is critically damp...

A spring-mass system is modeled by the equation

(a) Show that the system is critically damped when μ = 4 kg/s.

(b) Suppose that the mass is displaced upward 2 m and given an initial velocity of 1 m/s. Use a numerical solver to compute the solution for μ = 4, 4.2, 4.4, 4.6, 4.8, 5. Plot all of the solution curves on one figure. What is special about the critically damped solution in comparison to the other solutions? Why would you want to adjust the spring on a screen door so that it was critically damped?