Consider a horizontal layer of the dam wall of thickness dx located a distance x above the reservoir floor. What is the magnitude dF of the force on this layer that results from adding the water to the reservoir? Express your answer in terms of x, dx, the magnitude of the acceleration due to gravity g, and any quantities from the problem introduction. 2. The force of the added water produces a torque on the dam. In a simple model, if the torque due to the water were enough to cause the dam to break free from its foundation, the dam would pivot about its base (point P). What is the magnitude τ of the torque about the point P due to the water in the reservoir? Express your answer in terms of quantities given in the problem introduction and the magnitude of the acceleration due to gravity g.
Consider a horizontal layer of the dam wall of thickness dx located a distance x above the reservoir floor. What is the magnitude dF of the force on this layer that results from adding the water to the reservoir? Express your answer in terms of x, dx, the magnitude of the acceleration due to gravity g, and any quantities from the problem introduction. 2. The force of the added water produces a torque on the dam. In a simple model, if the torque due to the water were enough to cause the dam to break free from its foundation, the dam would pivot about its base (point P). What is the magnitude τ of the torque about the point P due to the water in the reservoir? Express your answer in terms of quantities given in the problem introduction and the magnitude of the acceleration due to gravity g.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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1. Consider a horizontal layer of the dam wall of thickness dx located a distance x above the reservoir floor. What is the magnitude dF of the force on this layer that results from adding the water to the reservoir?
Express your answer in terms of x, dx, the magnitude of the acceleration due to gravity g, and any quantities from the problem introduction.
2. The force of the added water produces a torque on the dam. In a simple model, if the torque due to the water were enough to cause the dam to break free from its foundation, the dam would pivot about its base (point P). What is the magnitude τ of the torque about the point P due to the water in the reservoir?
Express your answer in terms of quantities given in the problem introduction and the magnitude of the acceleration due to gravity g.
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