A thin rod has a length of .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 32 rad/s and a moment of inertial of .0011 kg*m^2. A bug is standing on the axis and decides to crawl out to the other end of the rod. The bug has a mass = .0042 kg.
a) What is the angular momentum of the rod before the bug started crawling?
b) What is the angular velocity of the rod once the bug is at the other end of the rod away from the rotational axis?