Obtain the moment of inertia of a uniform disc of radius and mass about its axis of rotational symmetry. A uniform rigid body of mass takes the form of a disc of radius with a concentric circular hole of radius cut out. Calculate the body's moment of inertia about its axis of rotational symmetry.
The body rolls without slipping, with its axis of symmetry horizontal, down a plane inclined at angle to the horizontal. Determine its acceleration and the frictional and normal-reaction forces resulting from contact with the plane.