1. The Tainter gate, shown in the figure, is a circular arc ABC. It is raised and lowered by pivoting about point O. (a) Find the net force due to

pressure (horizontal and vertical components) acting on the gate.The pressure on the right side of the gate is Patm (b) Find the center of pressure. Show that the force acts through point O. (c) Explain why this type of gate would close automatically under its own weight in the event of mechanical failure of whatever mechanism rotates the gate about O.