Problem # 54

Mass Moment of Inertia

The mass moment of inertia of a full disk with respect to its centroid located at point 0 is given by :

Io = 1/2*mf*R²

where mf = mass of full disk

Use this knowledge to determine the equation for the mass moment of inertia of the shown semi-disk with respect to its centroid located at point G in terms of ms = mass of the semi-disk. You may use the Parallel Axis Theorem.