The solid gate AB shown below is of uniform density and has a mass of 180 kg. The width of the gate into the page is 1.2 m. The gate is hinged at A and rests on a smooth bottom surface at B. The specific weight of water is 9,790 N/m, while that of glycerin is 12,360 N/m. a) Calculate the magnitude of the net resultant force on the gate applied by the glycerin only. [3 marks] Water 2 m Glycerin 1 m 60 B b) Determine the location along the gate between A and B at which the force calculated in part (a) acts. Express this location as the distance from point A moving down the line AB. [3 marks] c) Calculate the depth of water h for which the reaction force at point B is zero and the sum of moments about A is zero. [4 marks]