Problem 1.88

A device (Fig. 1.26) consists of a smooth L-shaped rod located in a horizontal plane and a sleeve \(A\) of mass \(m\) attached by a weight-less spring to a point \(B\). The spring stiffness is equal to \(x\). The whole system rotates with a constant angular velocity \(\omega\) about a vertical axis passing through the point \(O .\) Find the elongation of the spring. How is the result affected by the rotation direction?