Problem

The two identical gears each have a mass of m and a radius of gyration about their cente...

The two identical gears each have a mass of m and a radius of gyration about their center of mass of k0. They are in mesh with the gear rack, which has a mass of M and is attached to a spring having a stiffness k. If the gear rack is displaced slightly horizontally, determine the natural period of oscillation.

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