Paper 4, Section II, A

Dynamics and Relativity | Part IA, 2009

Obtain the moment of inertia of a uniform disc of radius aa and mass MM about its axis of rotational symmetry. A uniform rigid body of mass 3M/43 M / 4 takes the form of a disc of radius aa with a concentric circular hole of radius a/2a / 2 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 α\alpha to the horizontal. Determine its acceleration and the frictional and normal-reaction forces resulting from contact with the plane.

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