A gate of 10 ft width and 5 ft long is hinged at point A and held in place by 12 ft long brace as shown in fig. As the bottom of the brace is moved to the right, the water level remains at the top of the gate. The line of action of the force that the brace exerts on the gate is along the brace.. (a) Plot the magnitude of the force exerted on the gate by the brace as a function of the angle of the gate, , for . Assume the weight of the gate is negligible.