Gate AB (
The minimum force that is applied to the cable to open the gate.
Answer to Problem 86P
The tension in the cable is
Explanation of Solution
Given information:
The length of the gate is
Write the expression for area of the gate.
Here, the length of the gate is
The figure below shows the forces acting on the tank.
Figure-(1)
Write the expression for angle of inclination
Write the expression for angle of inclination
Here, the horizontal distance from point
Write the expression for centroid of gate from free surface.
Write the expression for centre of pressure.
Write the expression of
Write the expression for hydrostatic force on gate.
Here, the specific gravity of methyl alcohol is
Write the expression for equilibrium of forces.
Here, the weight of the gate is
Calculation:
Substitute
Substitute
Substitute
Substitute,
Substitute,
Substitute,
Substitute,
Substitute
Conclusion:
The tension in the cable is
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Chapter 3 Solutions
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