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Midterm-II Practice Questions Problem 1: The gate of negligible weight is used to hold back water in a channel of width b as shown in the figure. Find the reaction force on the block? [
Ans:
F
R
=0.389 γ
bh
2
] Problem 2: A 3-m-diameter open cylindrical tank contains water and has a hemispherical bottom as shown in the figure. Determine the magnitude, line of action, and direction of the force of the water on the curved bottom. [
Ans:
485 kN] Problem 3: A plug in the bottom of a pressurized tank is conical in shape, as shown in the figure. The air pressure is 40 kPa, and the liquid in the tank has a specific weight of 27 kN/m
3
. Determine the magnitude, direction, and line of action of the force exerted on the curved surface of the cone within the tank due to the 40 kPa pressure and the liquid. [
Ans:
117 kN]