The gear of mass m has a radius of gyration about its center of mass O of k0. The springs...

The gear of mass m has a radius of gyration about its center of mass O of k0. The springs have stiffnesses of k1and k2, respectively, and both springs are unstretched when the gear is in an equilibrium position. If the gear is given a small angular displacement of θ and released, determine its natural period of oscillation.