The moments of inertia of gears A and B are IA = 0.014 slug-ft2 and IB = 0.100 slug-ft2. G...

The moments of inertia of gears A and B are IA = 0.014 slug-ft2 and IB = 0.100 slug-ft2. Gear A is connected to a torsional spring with constant k = 2 ft-lb/rad. The system is in equilibrium at t = 0 when it is subjected to an oscillatory force F(t) = 4 sin 3t lb. What is the downward displacement of the 5-lb weight as a function of time?