Not as usually, oscillation

Body of mass $$m$$ is moving around frame in the shape of Г. The frame is rotating about point O with a constant angular velocity $$\omega$$ in the vertical plane. The body is attached to a point A with an spring of a coefficient of elasticity $$k$$. Find the amplitude $$X_0$$ of the oscillations.

$$g=10$$

$$k=8$$

$$m=2$$

$$\omega=1$$

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