An 4-kg mass is attached to a spring hanging from the ceiling and allowed to come to rest. Assume that the spring constant is 20N/m and the damping constant is 2 N-sec/m. At time t = 0, an external force of F(t) = 2 cos (2t + ) is applied to the system.Formulate the initial value problem describing the motion of the mass and determine the amplitude and period of the steady-state solution.Let y(t) to denote the displacement, in meters, of the mass from its equilibrium position. Set up a differential equation that describes thissystem. (give your answer in terms of y, y', y").The amplitude of the steady-state solution ism.The period of the steady-state solution isradians.If you don't get this in 3 tries, you can get a hint.

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