A horizontal spring has one end fixed and one end attached to a
3 kg mass, which slides without friction. The spring has a
stiffness constant of 48 N/m. At time t = 0 the mass is at rest at
the origin when a driving force of F = 120 cos 6t (F is in newtons)
is applied.
(a) Find the natural oscillation frequency, ω◦, and show that
the homogeneous solution (i.e., the solution to the motion when F =...