A spring with spring constant k=7N/mis horizontal and has one end attached to a wall and the other end attached to a M =4 kg mass. Suppose that the friction of the mass with the floor (i.e., the damping constant) is D =2Ns/m, and the forcing function is()=8sin(2).

a) Find the steady-state motion of the attached mass if initially the mass is at rest at the equilibrium position.

steady-state solution: x(t)=

b) Find the steady-state motion of the attached mass if initially the mass is pulled0.1metres away from the equilibrium position and is released.

steady-state solution: x(t)=