The moments and product of inertia for an L102 × 76 × 6.4-mm angle cross section with respect to two rectangular axes x and y through C are, respectively, Ix = 0.166 x 106 mm4, Ix = 0.453 x 106 mm4, and Ixy < 0, with the minimum value of the moment of inertia of the area with respect to any axis through C being Imin = 0.051 x 106. Using Mohr’s circle, determine
(a) The product of inertia Ixy of the area,
(b) The orientation of the principal axes,
(c) The value of Imax.