We have a gate (3 meter long and 3 meter wide) at a 40o angle being held onto the slab by the pressure of the water with a hinge at the base. The distance z is 0.75 m. Assume that air at atmospheric pressure is above the water on the right hand side and on left hand side of the gate.

Question

If the gate is too heavy, the force of the water would not be sufficient to keep it up. What is the limiting weight of the gate assuming that the pressure above the fluid is 1 atmosphere? (Hint: assume that the weight of the gate is exerted through its centroid.)

Answer 1

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How to find the net force excreted to the gate ?

Answer 2

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