Parallel Axis Theorem Consider a lamina S of mass m together with parallel lines L and L( in the plane of S. the line L passing through the center of mass of S. Show that if I and I' are the moments of inertia of S about L and L', respectively, then I' = 1 + gin, where d is the distance between L and L'. Hint Assume that S lies in the xy-plane, L is the y-axis, and L' is the line x = -d.