Problem 1.113

A horizontal smooth rod \(A B\) rotates with a constant angular velocity \(\omega=2.00 \mathrm{rad} / \mathrm{s}\) about a vertical axis passing through its end A. A freely sliding sleeve of mass \(m=0.50 \mathrm{~kg}\) moves along the rod from the point \(A\) with the initial velocity \(v_{0}=1.00 \mathrm{~m} / \mathrm{s} .\) Find the Coriolis force acting on the sleeve (in the reference frame fixed to the rotating rod) at the moment when the sleeve is located at the distance \(r=50 \mathrm{~cm}\) from the rotation axis.