A homogeneous, $2-$ft$-$wide, $8-$ft$-$long rectangular gate weighing $700$ lb is held in place by a horizontal flexible cable as shown in the Fig. P$2\mathrm{.}87.$ Water acts against the gate which is hinged at point A$.$ Friction in the hinge is negligible. Determine the tension in the cable. Figure P$2\mathrm{.}87$