The ornamental design for a floor mopping apparatus, as shown and described.
FIG. 1 is a perspective view of a floor mopping apparatus according to my new design;
FIG. 2 is a perspective view of the floor mopping apparatus of FIG. 1 having a shorter central upright pole portion;
FIG. 3 is a right side elevation view of the apparatus of FIG. 1 (the left side view being a mirror image thereof);
FIG. 4 is a front elevation view of the apparatus of FIG. 1;
FIG. 5 is a rear elevation view of the apparatus of FIG. 1;
FIG. 6 is a top plan view of the apparatus of FIG. 1; and,
FIG. 7 is a bottom plan view of the apparatus of FIG. 1.
The broken line showing of elements is included for the purpose of illustrating portions of the floor mopping apparatus which form no part of the claimed design.