The Problem:
A large wooden wheel of radius R and moment of inertia Iw about it’s axis of symmetry is mounted on an axle so as to rotate freely. A bullet of mass mb and speed vb is shot and moves in a straight line (neglect gravity) tangential to the wheel and strikes its edge, lodging in it at the rim. If the wheel was originally at rest, what would its angular speed be after the collision between the bullet and the wheel?