A thin rod has a length of 0.25 m and rotates in a circle on a
frictionless tabletop. The axis is perpendicular to the length of
the rod at one of its ends. The rod has an angular velocity of 0.29
rad/s and a moment of inertia of 8.00 10-4 kg · m2. A bug standing
on the axis decides to crawl out to the other end of the rod. When
the bug (mass = 4.2 10-3 kg) gets where it's going, what is the
angular velocity of the rod?