A gate with 10 m in length and 1 m wide is used to block the...
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A gate with 10 m in length and 1 m wide is used to block the water as shows in the figure. A counter force F is applied at the platform that has x meter from the hinge to keep the gate closed. The platform itself has length of 4 m. The density of water is given as p = 1000 kg/m. The weight of the gate itself is negligible. D 4 m water Hinge Stopper 30 ********* 10 m X 4 m F (a) If the force F = 300,000 N, find the minimum distance of x. (b) If the force F = 250,000 N, analyse if the gate can be closed with this applied force. Show all necessary calculation. A gate with 10 m in length and 1 m wide is used to block the water as shows in the figure. A counter force F is applied at the platform that has x meter from the hinge to keep the gate closed. The platform itself has length of 4 m. The density of water is given as p = 1000 kg/m. The weight of the gate itself is negligible. D 4 m water Hinge Stopper 30 ********* 10 m X 4 m F (a) If the force F = 300,000 N, find the minimum distance of x. (b) If the force F = 250,000 N, analyse if the gate can be closed with this applied force. Show all necessary calculation.
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The problem here involves hydrostatic pressure and the application of moments torques around a pivot point the hinge The hydrostatic pressure on the gate due to the water increases with depth and this ... View the full answer
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