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# p0398 - 362 CHAPTER 3 EFFECTS OF GRAVITY ON PRESSURE 3.98...

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362 CHAPTER 3. EFFECTS OF GRAVITY ON PRESSURE 3.98 Chapter 3, Problem 98 To solve, we begin by adding to the figure all of the forces that are acting. There are hydrostatic forces from the left and right fluids, which we name F f and F r ,respec t ive ly . Thetens ionforceinthecab leis T and there is a reaction force at the hinge, F H .F ina l ly , the submerged body is acted on by its weight, W , and the buoyancy force, F buoy . Figure 3.78: Gate, weight and pulley arrangement. To calculate the hydrostatic force and moment from the left, note that the gate is a rectangle with height 2 H and width 1 2 H (out of the page). Thus, its centroid, area and moment of inertia are z f = H, A f =2 H · 1 2 H = H 2 ,I f = 1 12 w 1 2 H W (2 H ) 3 = 1 3 H 4 Also, the center of pressure is located at z cp f = z f + I f z f A f = H + H 4 / 3 H · H 2 = 4 3

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## This note was uploaded on 02/09/2012 for the course AME 309 taught by Professor Phares during the Spring '06 term at USC.

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p0398 - 362 CHAPTER 3 EFFECTS OF GRAVITY ON PRESSURE 3.98...

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