Find the equivalent height then determine the resultant vertical force that the

Question

Find the equivalent height then determine the resultant vertical force that the water exerts on the body shown in the picture below assuming that the body is flush on the bottom. (hsq=4.62 ft; 918 lb downward) If the specific weight of the body is 75 ib/ft3, determine the resultant force, R, that the water and the body exert on the bottom of the enclosed container. Draw a Free Body Diagram if you want this to be graded. (34,950 ib) Determine the resultant moment about A force in part b. (27,800 ftib) find the location where the resultant force R would be applied on the bottom relative to point A,(0.795 ft to the left.) What force F applied as shown to the top of the body would be required to tip the body in the clockwise direction?(4,360 ib)

Explanation / Answer

the equivalent height is the height of water in ft which would offer the given 2 psig of pressure on the surface of water. We have the pressure as 2 psig acting on the water but 1 psig = 27.7 in of water head so 2 psig = 4.62 ft of water force acting on the bottom surface = weight of object + force of fluid above weight of object = density * volume weight of object = 75 * { [ (8*2) + (0.5*5*5.7) ] * 15 } = 34031.25 force of fluid = 918 lb F ( bottom ) = 34949.25 lb

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