Solved: CP CALC The upper edge of a gate in a dam runs

Chapter 12, Problem 12.54

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QUESTION:

CP CALC The upper edge of a gate in a dam runs along the water surface. The gate is 2.00 m high and 4.00 m wide and is hinged along a horizontal line through its center (Fig. P12.54). Calculate the torque about the hinge arising from the force due to the water. (Hint: Use a procedure similar to that used in 12.53; calculate the torque on a thin, horizontal strip at a depth h and integrate this over the gate.)

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QUESTION:

CP CALC The upper edge of a gate in a dam runs along the water surface. The gate is 2.00 m high and 4.00 m wide and is hinged along a horizontal line through its center (Fig. P12.54). Calculate the torque about the hinge arising from the force due to the water. (Hint: Use a procedure similar to that used in 12.53; calculate the torque on a thin, horizontal strip at a depth h and integrate this over the gate.)

ANSWER:

Step 1 of 4

Consider the figure given

Here the upper edge of a gate in a dam runs along the water surface. The gate is  high and  wide and is hinged along a horizontal line through its center shown in above figure

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