A thin homogeneous ring performs harmonic oscillations

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A thin homogeneous ring performs harmonic oscillations with respect to the horizontal axis passing through point O (see figure). The radius of the ring R. Determine the period of small oscillations of the ring, if the oscillations occur in the plane of the figure.

Task 40987. Detailed solution with a brief record of the conditions, formulas and laws used in the decision, the conclusion of the calculation formula and the answer.
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