A 0.5 kg mass is attached to a hanging spring and allowed to come to rest at equilibrium. At equilibrium, the spring is stretched 10 cm past its natural length. A dashpot supplies a damping force with damping coefficient 3N-sec/m. The mass is displaced 2 cm above equilibrium and released from rest. Using up as the positive direction, write (but do not solve) an initial value problem whose solution is the displacement of the mass from equilibrium after t seconds and determine whether the system is underdamped, critically damped, or overdamped.

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The Pritial value Problem for the displacement x of the mass from equilibrium after seconds con... View the full answer