A triangular gate having a horizontal base 1.0 m. long and an altitude of 1.5 m....

 

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A triangular gate having a horizontal base 1.0 m. long and an altitude of 1.5 m. is inclined at 45 degrees from the vertical with the vertex pointing upward. The vertex of the gate is 2.4 m. vertically below the surface of the water. a. Evaluate the total force on the gate, in kN. b. Locate the point of action of the total force from the bottom of the gate along its plane, in meter(s). c. What normal force, in kN, must be applied at the vertex of the gate to open it if it is hinged at the base? A triangular gate having a horizontal base 1.0 m. long and an altitude of 1.5 m. is inclined at 45 degrees from the vertical with the vertex pointing upward. The vertex of the gate is 2.4 m. vertically below the surface of the water. a. Evaluate the total force on the gate, in kN. b. Locate the point of action of the total force from the bottom of the gate along its plane, in meter(s). c. What normal force, in kN, must be applied at the vertex of the gate to open it if it is hinged at the base?