The steel plate with known weight and non-uniform thickness…

The steel plate with known weight and non-uniform thickness and density is supported as shown. Of the three parameters (CG, CM, and centroid), which one is needed for determining the support reactions? Are all three parameters located at the same point? (CG: Center of gravity; CM: Center of mass)

In the figure, using the conventional cartesian coordinate s…

In the figure, using the conventional cartesian coordinate system in 2-D (right direction is positive x, left direction is negative x and upward direction is positive y, downward direction is negative y, CW negative, CCW positive), it is found that the reaction forces at point A are Ax = -400 N and Ay = -96 N. In this case, what are the internal forces at point C: normal force (Nc), bending moment (Mc), and shear force(Vc);   (Nc, Mc, Vc)?