$2\mathrm{.}117$ The $18-$ft$-$long lightweight gate of Fig. P$2\mathrm{.}117$ is a quar$-$

ter circle and is hinged at H$.$ Determine the horizontal force, P$,$

required to hold the gate in place. Neglect friction at the hinge and

the weight of the gate.

Figure P$2\mathrm{.}117$