Concept explainers
Show that the resultant of the hydrostatic forces acting on a submerged plane area A is a force P perpendicular to the area and of magnitude
Fig. P9.66
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Vector Mechanics for Engineers: Statics
- Determine (1) the correct expression of the area magnitude whose volume weight is equivalent to the vertical force exerted on the whole curved surfaces_________ A. 1/2(pie)R^2 B. 1/4(pie)R^2 C. (h+r)w+1/4(pie)R^2 D. (h+r)w-1/4(pie)R^2arrow_forwardA circular plate with radius r = 0.95 m lies next to a rectangular plate with base br = 0.78 m and height hr = 0.847 m which lies next to a triangular plate with base bt = 1.638 m and height ht = 0.995 m . Determine the common center of gravity in the y-direction of the circular and the rectangular plate if the plates are equally thick and are made of the same material.arrow_forwardA shape that covers an area A and has a uniform height h has a volume V= ah Show that v= ah is dimensionally correct.arrow_forward
- Knowing that the distance h has been selected to maximize the distance y from line BB, to the centroid of the shaded area, show that y = 2h/3.arrow_forwardA circular plate with radius r = 0.785 m lies next to a rectangular plate with base br = 0.948 m and height hr = 0.770 m which lies next to a triangular, plate with base bt = 1.41 m and height ht = 0.712 m. Determine the center of gravity of the rectangular plate in the y-direction if its surface density varies in the x and y-direction according to σr = 4.84·x·ykg / m2.arrow_forwardThe method of locating the center of gravity of a mass or an area is based on the method of determining the resultants of parallel force systems. -True -Falsearrow_forward
- Determine the location of the resultant normal force acting on the crate measured from point A. The crate is symmetric with uniform mass. Units in mm. P=164.4 N=474.6arrow_forwardThe coordinates of the centroid of the line are = 332 and = 102. Use the first Pappus Guldinus theorem to determine the area, in m2, of the surface of revolution obtained by revolving the line about the x-axis. The coordinates of the centroid of the area between the x-axis and the line in Question 9 are = 357 and = 74.1. Use the second Pappus Guldinus theorem to determine the volume obtained, in m3, by revolving the area about the x-axis.arrow_forwardQ1: The Gravity wall is made of Concrete, determine the Center of Mass G (X, Y) of the wall?arrow_forward
- The system below shows a system consisting of 4 masses that are turn. If R₁= R₂ = R3 = R4 = RA = RB = 10, determine the MA and MB placed in field A and field B.arrow_forwardIf the plate is replaced with a vertical triangular plate (base = 5ft and height = 12ft) where its base is submerged by 12ft below the water surface, determine the location of the hydrostatic force and center of pressure. Answer is 23,920 lbf and 15.6957ftarrow_forwardIf a man weighs 210 lb at sea level, determine the weight W of the man at the top of Mt. Everest (29,028 ft above sea level).arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L