Lock gates in a canal close a channel W = 5 m wide, L = 50 m long and h = 7 m deep. The geometry of one pair of gates is shown in plan view in Figure QA2. Each gate is hinged at the channel wall. When closed, the gates are forced together at the centre of the channel by hydrostatic pressure. Neglecting the weight of the gate and friction at the hinges, calculate: The force exerted by the water on Gate A The contact force between the gates The magnitude and direction of the x and y hinge reaction components. PLAN VIEW y Hinge x Water Gate A W = 5 m 15°