An object weighing 32 1b stretches a spring 2ft in equilibrium. There is also a damping force with c = 8. The spring is raised 2 ft and thrown upwards with a velocity of 4ft/sec. 2pts: Determine the mass m and the spring constant k, and give the differential equation describing the harmonic motion of this system. 4pts : Solve the differential equation to find the displacement y. 4pts: Assume that in addition an external force of 6e # 1b is applied, find the displacement for this new system