A light-weight potter's wheel, having a moment of inertia of 24kg.m^2is spinning freely at 0.67 rev/sec. The potter drops a small but dense lump of clay (treat the clay as a point mass) onto the wheel, where it sticks a distance 1.2 m from the rotational axis. Ignore any frictional losses or flattening in the inelastic collision. A) What is the angular momentum of the wheel + clay system before the collision? B) What is the angular momentum of the wheel + clay system after the collision? C) If the subsequent angular speed of the wheel and clay is 0.53 rev/sec, what is the mass of the clay?