$2\mathrm{.}8\mathrm{.}21$ A homogeneous, $1\mathrm{.}2$ m wide, $2\mathrm{.}4$ m long rectangular gate weigh$-$

ing $363$ kg is held in place by a horizontal flexible cable as shown

in Fig. P$2\mathrm{.}8\mathrm{.}21.$ Water acts against the gate, which is hinged at point $A.$

Friction in the hinge is negligible. Determine the tension in the cable.