1. A pressurized tank contains oil (s = 0.9) and has a triangular gate of negligible

weight, as illustrated below. Compute the magnitude of force F so that the gate

remains closed as shown.

Note: Since the gate is non-rectangular, you should perform the above problem

using the general approach, however you cannot use

F = yh₂A nor y₂ = Yc+Ixx.c/Ayc

because these equations were derived while taking pressure equal to zero at the

liquid surface. Meanwhile in this problem pressure is not equal to zero at the

surface of the oil. Thus, looking back at the week 8/part 1 lecture notes posted on

Canvas, you should re-derive the expressions for F and y, valid for non-zero

pressure at the surface.