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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EBK VECTOR MECHANICS FOR ENGINEERS: STA
- Determine the resultant force (FR) and the location of the center of pressure (y) due to water acting on the 3 m by 6 m rectangular area AB shown below. (Ywater = 9790 N/m³) 45° 4 m 3 m A 6 m 6 m Barrow_forwardThe parabolic end-plate of the trough shown here is subjected to a fluid pressure that varies linearly from 0 at its top to 100 lb/ft? at its bottom B, that is, p(y) = 100 -25y. Determine the magnitude of the resultant force on the end-plate. 2 ft 2 ft y = x² 4 ft B O 501 Ib O 271 Ib O 314 Ib O 427 Ib O 623 Ibarrow_forwardA circular plate 1.2 m diameter is placed vertically In water so that centre of the plate Is 2m below the free surface. Determine the depth of centre of pressure. X=2 m CG• СР +d= 1.2 marrow_forward
- Determine the pressure difference between points C and D. Take the specific weights to be Benzene: 8640 N/m³, Mercury:133100 N/m³ Kerosene: 7885 N/m³, Water: 9790 N/m³, Air: 12 N/m³. Water Air Benzene 50 cm 19 cm 30 cm $18 cm 24 cm Mercury- Kerosinearrow_forwardThe curved and flat plates of width 6-m are connected at A, B and C. They are submerged in water at the depth h=7-m. The distance d =4-m and the radius R= 2-m. Find the resultant force [kN] in the hinge at B. h В R A darrow_forwardThe semicircular drainage pipe is filled with water. Determine the resultant horizontal and vertical force components that the water exerts on the side AB of the pipe per foot of pipe length; w(water) = 9.81 lb/ft3. Take r =2m Determine the resultant vertical component of force that the water exerts on the side AB of the pipe per foot of pipe length. Determine the resultant horizontal component of force that the water exerts on the side AB of the pipe per foot of pipe length. Thank you!arrow_forward
- A 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 Figure below shows a dam 30.5 m long that retains 8 m of fresh water and is inclined at an angle of 30°. Calculate the magnitude of the location of the center of pressure. W2 ve Center of pressure /3 L/3arrow_forward3 - Obtain the center of gravity of the surface area of the constant thickness plane plate in the figure in the (x, y) set given. Dimensions a = 13 m, b = 17 m and r = 1 m, the center of the circle is at the point (2a, 1/2 b). Which of the following is the correct coordinates of the center of gravity of the triangle on the plate?A) (36.67; 7.67)B) (43.33; 5.67)C) (43.33; 7.67)D) (40; 7.67)E) (36.67; 5.67)arrow_forward
- Given the curve y = x + 2 and density δ(x, y) = 3x + 2y, find the centroid ofthe region within x ∈ [0, 1]arrow_forward11 - Obtain the center of gravity of the surface area of the constant thickness plane plate in the figure in the (x, y) set given. Dimensions a = 12 m, b = 23 m and r = 3 m, the center of the circle is at the point (2a, 1/2 b). Which of the following is the correct coordinates of the center of gravity of the circle on the plate?A) (24; 12)B) (24; 11.5)C) (12; 11.5)D) (12; 23)E) (24; 23)arrow_forwardFind the moment of mass from the x-axis for y = x In(x) – 3x and y = 1 bounded by x = 3 and x = 6. The surface density is equal to 0.37 kg/units?.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L