For the gate shown below, a = 30?. y ₁ = 0.30 m, and y ₂ = 2.5 m. Will the gate fall or stay in position under the action of the hydrostatic and gravity forces if the gate itself weighs 150 kN and is 1.0 m wide? Assume T = 10?C. Show your calculations to justify your answer.

Standard atmospheric pressure Hinge Gate Y Water