A mass weighing 96 lb is attached to a spring hanging from the ceiling and comes to rest at its equilibrium position. At time t= 0, an external force of F(t) = 3 cos 6t Ib is applied to the system. If...

Extracted text: A mass weighing 96 lb is attached to a spring hanging from the ceiling and comes to rest at its equilibrium position. At time t= 0, an external force of F(t) = 3 cos 6t Ib is applied to the system. If the spring constant is 15 Ib/ft and the damping constant is 2 lb-sec/ft, find the steady-state solution for the system. Use g = 32 ft / sec. The steady-state solution is y(t) =|: