The inclined face AD of the tank of Fig. P2.104 is a plane

Chapter 2, Problem 2.104

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QUESTION:

The inclined face AD of the tank of Fig. P2.104 is a plane surface containing a gate ABC, which is hinged along line BC. The shape of the gate is shown in the plan view. If the tank contains water, determine the magnitude of the force that the water exerts on the gate.

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QUESTION:

The inclined face AD of the tank of Fig. P2.104 is a plane surface containing a gate ABC, which is hinged along line BC. The shape of the gate is shown in the plan view. If the tank contains water, determine the magnitude of the force that the water exerts on the gate.

ANSWER:


The force on the gate ABC is equal to the weight of the water it is supporting, multiplied by the cosine of the angle of inclination AD of the tank.

Force = (weight of water) × (cosine of angle

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