We will need to find the moment of inertia IH of the half-cylinder when rotated about an axis that lies along the line of contact between the half-cylinder and the table. To find IS, not...We will need to find the moment of inertia IH of the half-cylinder when rotated about an axis that lies along the line of contact between the half-cylinder and the table. To find IS, note that if we take two half-cylinders and place their flat ends together, we will have a full cylinder of mass 2m and moment of inertia equal to the sum of the moments of inertia of the two half cylinders, IS+IS.