A 4 X 2-ft gate is hinged at Aand is held in position by rod CD.End Drests against a sprin...

A 4 X 2-ft gate is hinged at Aand is held in position by rod CD.End Drests against a spring whose constant is 828 lb/ft. The spring is undeformed when the gate is vertical. Assuming that the force exerted by rod CDon the gate remains horizontal, determine the minimum depth of water dfor which the bottom Bof the gate will move to the end of the cylindrical portion of the floor.