A thick circular plate is used in a machine called a gyratory compactor to determine the m...

A thick circular plate is used in a machine called a gyratory compactor to determine the mechanical properties of hot asphalt concrete. The plate is instrumented with load cells at points A, B, and C where each load cell is located at the same 80mm radial distance from point O. If the load cells pleasure-forces FA = 500 N, FB = 600 N, and FC = 700 N. determine

(a) an equivalent force system at point O.

(b) an equivalent force system consisting of a single force, specifying the x and y coordinates of the point where the force’s line of action intersects the xy plane.

Figure P4.68