I. For the following problems, set up the differential equation that describes the motion under the assumption of this section. Solve the differential equation. State whether the motion of the spring system is harmonic, damped oscillation, critically damped oscillation, or overdamped. If the motion is overdamped oscillation, rewrite in the amplitude-phase form. 5. A long spring wiui spring constant k = 8 g/s² has a mass attached that stretches the spring 245 cm. the damping coefficient is & = 8 g/s. At time t = o, the mass is at equilibrium position and has a velocity of 3 cm/s downward. %3D

I. For the following problems, set up the differential equation that describes the motion under the assumption of this section. Solve the differential equation. State whether the motion of the spring system is harmonic, damped oscillation, critically damped oscillation, or overdamped. If the motion is overdamped oscillation, rewrite in the amplitude-phase form. 5. A long spring wiui spring constant k = 8 g/s² has a mass attached that stretches the spring 245 cm. the damping coefficient is & = 8 g/s. At time t = o, the mass is at equilibrium position and has a velocity of 3 cm/s downward. %3D