The required force to be applied at the center of gravity.

Explanation of Solution
Given:
Radius of the semicircular gate
Calculation:
Determine the force applied by glycerin.
Determine the gage pressure of air entrapped on the top of the oil surface.
Determine the imaginary reduction in the oil level.
Determine the imaginary oil level.
Determine the force applied by oil.
Determine the area.
Determine the moment of inertia.
Determine the locations of
Take moment about hinge.
Thus, the required force to be applied at the center of gravity is
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Chapter 11 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
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