The moments of inertia of gears A and B are IA = 0.025 kg-m2 and IB = 0.100 kg-m2. Gear A...

The moments of inertia of gears A and B are IA = 0.025 kg-m2 and IB = 0.100 kg-m2. Gear A is connected to a torsional spring with constant k = 10 N-m/rad. The bearing supporting gear B incorporates a damping element that exerts a resisting moment on gear B of magnitude 2(dθB/dt) N-m, where dθB/dt is the angular velocity of gear B in rad/s. What is the frequency of small angular vibrations of the gears.