The plane region A is submerged in a fluid of weight density
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International Edition---engineering Mechanics: Statics, 4th Edition
- A swimming pool has a width of 12 ft and a side profile as shown. Determine the eccentricity e of the resultant force the pressure of the water exerts on bottom BC. Inclined BC makes an of 14.478° with the horizontal, D. 3 ft 8 ft 20 ft O 7.28 ft O 6.06 ft O 4.71 ft O 5.34 ftarrow_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_forwardOne end of a rod of length L and density ρ is fixed by a frictionless pivot at a depth d under water. Determine the equilibrium positions of the rod in terms of its angle α measured from the vertical, and the investigate whether the equilibrium positions are stable or unstable, given that (a) ρ = 500 kg/m3 ; (b) ρ = 853 kg/m3 (The density of water is ρw = 1000 kg/m3 .)arrow_forward
- 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_forward(a) Calculate the magnitude of the resultant force acting on the Tainter gate ABC as shown. The gate is 3 m wide. (b) Determine the line of action of the resultant force. Water R= 6 m 6 m R = kN 6 m Line of action = m from point "O"arrow_forward2.Determine the total pressure and center of pressure on an isosceles triangular plate of base 4 m and altitude 4 m when it is immersed vertically in an oil of sp.gr.0.9. The base of the plate coincides with the free surface of oil.arrow_forward
- Q2: The tank is filled with water. Determine the resultant force acting on the triangular plate A and the location of the center of pressure, measured from the top of the tank 03marrow_forwardThe thin triangular plate is fixed to the surface belowarrow_forwardThe cone shown is made of wood having a density of 550 kg/m3. Determine the tension in the rope AB if the cone is submerged in the water at a depth of 3 meters for a cone (tree height) of 3 meters. а (m) b (m) 0.5 m 0.5 m What is the tension in the rope AB in kN ? Will the force on the rope AB increase, decrease or remain the same if the cord AB is shortened? Note: The volume of a cone is V = - where r is the cone radius and h is the cone height. The density of water may be assumed to be 1000 kg/m3. 3arrow_forward
- 2) The form is used to cast a concrete wall having a width of 5 m. determine the equivalent resultant force the wet concrete exerts on the form AB if the pressure distribution due to the concrete can be approximated as shown. Specify the location of the resultant force, measured from point B. p = (422) kPa- 8 kPa B 4 marrow_forwardDetermine the resultant hydrostatic force on side AB, and the location of center of pressure. The depth of the oil confinement is 3 meters, as shown. Also, consider the figure to be three-dimensional, whose width is 2 meters. The density of the oil is uniform, and its value is 900 kg/m². Side AB is a rectangular plane surface. 3marrow_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
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L