(1 point) 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 20 N/m and the damping constant is 2 N-sec/m. At time
t=0t=0, an external force of F(t)=2cos(2t+π4)F(t)=2cos(2t+π4) 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)y(t) to denote the displacement, in meters, of the mass...