The 280-kg, 6-m-wide rectangular gate shown in Fig. P11–52 is hinged at B and leans agains...

The 280-kg, 6-m-wide rectangular gate shown in Fig. P11–52 is hinged at B and leans against the floor at A making an angle of 45° with the horizontal. The gate is to be opened from its lower edge by applying a normal force at its center. Determine the minimum force F required to open the water gate.

FIGURE P11–52: