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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