Find the frequency of small oscillations of the system

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Description Find the frequency of small oscillations of the system

Find the frequency of small oscillations of the system shown in the figure. Known are the radius of the block R, its moment of inertia J with respect to the axis of rotation, the mass of the body m and the rigidity of the spring k. Weights of thread and springs are negligibly small, the thread on the block does not slip, there is no friction in the axis of the block.

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Task 11114. A detailed solution with a brief description of the condition, formulas and laws used in the solution, the derivation of the formula and the answer.
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