A 1/4-kg mass is attached to a spring with stiffness 4 N/m.
The damping constant for the system is 2N-sec/m.
If the mass is at the equilibrium and given an initial leftward
velocity of 3 m/sec, determine the equation of motion for the mass.
Calculate the maximal displacement from the equilibrium position.
This is free and critically damped motion.
Solution.