A vertical triangular gate has water (ρ=1000 kg/m3) on one side and is open to the atmosphere on the other side and is hinged at the bottom of the gate at point B, as shown in the figure below.
(i) State two valid assumptions used in solving this problem. (2 Marks)
(ii) On your answer sheet draw and fully label the hydrostatic pressure distribution acting on the gate AB.
NOTE: Make sure your drawing is large enough to clearly show all relevant detail. (3 Marks)
(iii) Determine the resultant hydrostatic force and the location of the centre of pressure acting on the gate. (6 Marks)
(iv) Determine the horizontal force FA required to keep the gate shut. (3 Marks)
(v) Determine the horizontal and vertical components of the reaction force acting on the hinge at B as well as the magnitude and direction or the resultant reaction force at point B. (6 Marks)
3 significant figures