Question 2 In the schematic demonstrated in the figure, a spherical gate is used to regulate the height of water in a tank. The sphere radius is 50 cm and when the water height in the tank reaches 6 m, the gate opens by turning around hinge A. Determine the total hydrostatic force applied on the sphere and its angle of action at the moment that the gate is about to open. h=6 m R=50cm

Question 2 In the schematic demonstrated in the figure, a spherical gate is used to regulate the height of water in a tank. The sphere radius is 50 cm and when the water height in the tank reaches 6 m, the gate opens by turning around hinge A. Determine the total hydrostatic force applied on the sphere and its angle of action at the moment that the gate is about to open. h=6 m R=50cm

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.121P: One side of the container has a 03-m square door that is hinged at its top edge. If the container is...

See similar textbooks

Similar questions

One side of the container has a 03-m square door that is hinged at its top edge. If the container is filled with water, determine the smallest force F that must be applied to the bottom edge of the door to keep it closed.
(a) Explain howv could you determine the resultant force on a curved surface inmrnersed in a liquid? (b) A curve gate AB is defined by y = x' and 2 m wide as shown in Figure Q1 is hinged at bottom A. Determine the minimum force (Fo) required to hold the gate closed. Concrete wall- Water, SG = 1.00 1 m FB B 2 m ソミ×? Hinge A 0.5 m Figure Q1
Consider the hemispherical gate attached to a cylindrical buoy as shown in the figure. The thickness of and weight of the cable connecting the buoy and the gate are negligible. Which of the following is the volume above the hemispherical gate that is needed in the calculation of the vertical component of the resultant hydrostatic force acting on it? 4m Y? 3 m Select one: O a. cylinder up to the liquid surface O b. cylinder up to the liquid surface minus the hemisphere O c. cylinder up to the bottom surface of the buoy O d. cylinder up to the bottom surface of the buoy minus the hemisphere
A plate has the shape of a circle with radius 5 m. The plate is submerged vertically in water so that thebottom of the plate is 15 m below the surface of the water. Find the hydrostatic force exerted on the platedue to the hydrostatic pressure of the water.
1. Consider the gate in figure below to be a quarter circle of radius 80 cm with the hinge 8 m below thewater surface. If the gate is 1 m wide, what force P is needed to hold the gate in the position shown? FH Hinge F₂ Fy Fy Water
Q 3 :A plate ABCD hangs in water from one of its comers (as shown in the figure). Determine the total pressure on the plate and the position of the center pressure? Water Surface 10 m 5m 7 B 612 C _5 m O
Q4) There is a balance between an immersed block and the mass on the scale as shown in figure. Assuming that the block is immersed in water, determine the density for block. (Block has a cubic geometry. Pwater= 1000 kg/m®) 2 kg Mass 12 cm Block
The pressure at a point “m” in the figure shown was increased from 70 kPa to 105 kPa. This causedthe top level of mercury to move 20 cm in the sloping tube. What is the inclination, θ?
A long solid cylinder of radius 0.8 m hinged at point A is used as an automatic gate, as shown in Fig. 3. When the water level reaches 5 m, the gate opens by turning about the hinge at point A. Determine (a) the hydrostatic force acting on the cylinder and its line of action when the gate opens. 4.2 m 5m R=0.8 m 0.8 m Fig. 3
A 12.5 kg block of metal measuring 12.0 cm by 10.0 cm by 10.0 cm is suspended from a scale and immersed in 5.60 cm below the surface of the water. Scale a b (a) What are the magnitudes of the forces (in N) acting on the top and on the bottom of the block due to the s significant figures.) Frop N N Fbottom (b) What is the reading of the spring scale (in N)? N (c) Show that the buoyant force equals the difference between the forces at the top and bottom of the block. ( II
An 8-in.-diameter piston is located within a cylinder that is connected to a 0.5-in.-diameter inclined-tube manometer as shown in the figure. The fluid in the cylinder and the manometer is oil (specific weight = 57 Ib/ft3). When a weight, W, is placed on the top of the cylinder, the fluid level in the manometer tube rises from point (1) to (2). How heavy (in Ib) is the weight? Assume that the change in position of the piston is negligible. W 6 in. (2) (1) Piston Oil 30°
An open settling tank shown in the figure contains a liquid suspension. Determine the resultant force acting on the gate and its line of action if the liquid density is 850 kg/m3. The gate is parabolic as sketched, looking straight at the gate