Problem 2. A frictionless hinge (H) located at the surface of freshwater is connected to a gate with width w with a rectangular overhang sticking out a distance a from the

gate, shown in figure (a). There is a stop at the bottom of the wall to resist the force of the water pressure on the inside of the gate, and to prevent it from opening in a counterclockwise direction. As a is increased, there will come a point where the weight of the water in the overhang will be large enough to cause the gate to move away from the stop with a clockwise rotation. (a) What is this critical value of a? (a) atm (b) What happens to the critical value of a if the overhang is inverted, as shown in figure (b)? (b) h/3 FI h/3 P atm h/3 h/3 h/3 h/3 atm atm