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Beginner@Phys

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## Homework Statement

**Part A**

Consider a horizontal layer of the dam wall of thickness

*dx*located a distance

*x*above the reservoir floor. What is the magnitude of the force on this layer due to the water in 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: dw(water density), L(width of the dam), h (depth of the water). For more info: See image attached.

**Part B**

The force of the 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 of the torque T 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 .

## Homework Equations

(1)P=P_o+ rho*g*h

(2)P=F/A

## The Attempt at a Solution

Part A: rho_w*g*x=F/A Therefore, F=rho_w*g*x (A). But what is the area equal to?

Part B: Use the equation for Torque T=r*F?