(a)
The specific gravity of the body if
Answer to Problem 2.95P
Explanation of Solution
Given information:
The width of uniform body is b. It’s in static equilibrium, when pivoted about point O.
Assume that the horizontal force acting on the panel is
In above equation,
Assume that the vertical force acting on the panel is
In above equation,
The below equation is used to find the line of action of horizontal force
In above equation,
Calculation:
To find horizontal force:
According to the above-mentioned explanation:
Therefore, the horizontal component of the hydrostatic force =
To find the line of action,
In this case, the inertia of the rectangular plane is equal to,
Therefore,
The horizontal force is acting at a distance
To find vertical force,
According to the above-mentioned explanation:
The vertical force acts at a distance equals to
According to above diagram:
The body to be in static equilibrium, the moment about point O is equal to zero.
Conclusion:
The specific gravity of uniform body, when
(b)
The specific gravity of the body if
Answer to Problem 2.95P
Explanation of Solution
Given information:
The width of uniform body is b. It’s in static equilibrium when pivoted about point O.
Assume that the horizontal force acting on the panel is
In above equation,
Assume that the vertical force acting on the panel is
In above equation,
The below equation is used to find the line of action of horizontal force
In above equation:
Calculation:
To find horizontal force,
According to the above-mentioned explanation:
Therefore, the horizontal component of the hydrostatic force =
To find the line of action:
In this case, the inertia of the rectangular plane is equal to:
Therefore,
The horizontal force is acting at a distance
To find vertical force,
According to the above-mentioned explanation:
The vertical force acts at a distance equals to
According to above diagram:
The body to be in static equilibrium, the moment about point O is equal to zero.
Conclusion:
The specific gravity of uniform body, when
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Chapter 2 Solutions
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