Five point masses m1 through m5 are located at the vertices and the centre (the intersection of the diagonals) of a rectangle of length 10 m and width 6 m, as shown. The point F is midway between A and C and the point E is at the intersection of the diagonals of the rectangle. Imagine the masses to be connected by thin massless rods so that the system can rotate as one unit. Find the moment of inertia of the system for rotation about an axis perpendicular to the paper and (a) passing through A (b) passing through F & (c) passing through D.
