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?