GATE CE 2021 Set 1 — Question 59
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Water Resources Engineering → Fluid Properties & Statics → Hydrostatic Forces
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Question
A cylinder ( diameter, long and weight) is acted upon by water on one side and oil (specific gravity ) on other side as shown in the figure.
The absolute ratio of the net magnitude of vertical forces to the net magnitude of horizontal forces (round off to two decimal places) is _________
Correct answer
0.35 to 0.4
Solution
1.Horizontal Forces:
- Horizontal force from water (): (acting right).
- Horizontal force from oil (): (acting left).
- Net horizontal force (): .
- Vertical force from water (): Upward force equal to the weight of water displaced by the semi-cylinder. (upward).
- Vertical force from oil (): Upward force equal to the weight of oil displaced by the quarter-cylinder. (upward).
- Weight of cylinder (): (downward).
- Net vertical force (): .
- Ratio .
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