Serway & Jewett — Angular Momentum: Problem 17

A uniform solid disk of mass \(m = 3.00 \text{ kg}\) and radius \(r = 0.200 \text{ m}\) rotates about a fixed axis perpendicular to its face with angular frequency \(6.00 \text{ rad/s}\). Calculate the magnitude of the angular momentum of the disk when the axis of rotation (a) passes through its center of mass and (b) passes through a point midway between the center and the rim.