5-85* The width of the rectangular gate shown in Fig. P5-85 is 8 ft. Determine the magnitude of the resultant force R exerted on the gate by the water (y = 62.4 lb/ft) pres- sure and the location of the center of pressure with respect to the hinge at the bottom of the gate. B 3 ft 7 ft

5-85* The width of the rectangular gate shown in Fig. P5-85 is 8 ft. Determine the magnitude of the resultant force R exerted on the gate by the water (y = 62.4 lb/ft) pres- sure and the location of the center of pressure with respect to the hinge at the bottom of the gate. B 3 ft 7 ft

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 8.122P: The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate...

See similar textbooks

Related questions

Q: Find the force (Fa) needed to open the gate that is hinged at O. b Water 2.5m h hR 3 R F. R k a

A: Given, R=3 m hc=2.5+4R3π=3.7732 m Let The density of the water, ρ=1000 kg/m3 The acceleration due to…

Q: Determine the horizontal force F at the center of gravity of a semi-circular gate if the plan of the…

A: The gravity center of the body, where the body is supposed to concentrate its total weight, is a…

Q: 8.122 The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between…

A: The resultant force acting on the point B can be calculated using the formula given below- F=Fx2+Fy2…

Q: Determine the hydrostatic force and its location by (a)integration method and (b)formula method. 3m…

Q: The curved surface given in the figure is defined by y = 3√x. Determine the horizontal force and its…

A: Understand that the horizontal force of the curved surface is obtained using the projected area of…

Q: H-12m Q3: (30 Marks) For the curved face of a dam shown in figure, if the height of water retained…

Q: The curved surface given in the figure is defined by y = 3 x−−√x . Determine the horizontal force…

Q: 3. The cylindrical diving bell is open at the bottom and closed at the top, as shown. It is lowered…

Q: The 1.20 m diameter cylinder 2.00 m long is acted upon by water on the left and oil having s = 0.80…

A: TO produce zero horizontal reaction at point B, the horizontal forces caused by the water and oil…

Q: 3. The gage pressure of the air in the tank shown in the figure is measured to be 65 kPa. Determine…

A: Given data Pressure measured = 65Kpa

Q: 5-88 The width of the rectangular gate shown in Fig. P5-88 is 4 m. Determine the magnitude of the…

A: Consider the following figure: The area of the gate considered in calculation is the area submerged…

Q: The water in a 25-m-deep reservoir is kept inside by a 90-m-wide wall whose cross section is an…

A: Consider hc as the hydrostatic center of the water, b is the length of the side at which the…

Q: A fish tank that contains 60 cm high water is moved in the cabin of elevator. Determine the pressure…

Q: The truck carries an open rectangular container that is 3.9m wide, 3.0m deep and 5.0m long, contains…

A: Givenwidth of the tank w=3.9mdepth of the tank d=3mlength of the tank L=5mdensity of oil…

Q: 5-87* The width of the rectangular gate shown in Fig. P5-87 is 4 ft. Determine the magnitude of the…

A: Consider the diagram shown below for the given dam.

Q: Determine the resultant force acting on the 0.7-m-highand 0.7-m-wide triangular gate and itsline of…

A: Write the expression of the angle β. Write the expression of the area of the triangular section.

Q: 5-90 The width of the cylindrical gate shown in Fig. P5-90 is 4 ft. Determine the magnitude and the…

A: Draw the pressure points on the gate. Draw the free-body diagram of the gate.

Q: A 4.5 m-diameter vertical cylindrical milk tank rotates at a constant rate of 15 rpm. If the…

A: Given:- The angular velocity of a cylinder is expressed by:

Q: A cylinder 3 m in diameter and 4 m long retains water on one side. The cylinder is supported as…

Q: The 280-kg, 6-m-wide rectangular gate is hinged at B and leans against the floor at A making an…

A: Given data: Consider the diagram of the given system as shown below,

Q: A vertical bulkhead has a door 3m high and 2m wide fastened by two hinges A and B as shown and is…

A: Solution Given data- Area - 3m and 2 m

Q: w agua 1.00m

Q: C5-98 A water tank at the aquarium has a circular win- dow 2 m in diameter in a vertical wall as…

A: Considering the minimum depth of the fluid is greater than the top point on the window (2.5 m from…

Q: e la a a g. agua h A 0 2,1 m 2,8 m

Q: The gate in the figure supported a maximum moment of 180kN-m at the support at a. Determine the…

Q: Unless otherwise stated, take the density of water to be P. = 1000 kg/m' and its specific weight to…

Q: A fish tank that contains 60 cm high water is moved in the cabin of elevator. Determine the pressure…

Q: The truck carries an open rectangular container that is 3.5 m wide, 3.0 m deep and 5.0 m long,…

Q: The flow of water from a reservoir is controlled by a 1.5 m wide L-shaped gate hinged at point A, as…

A: Area of plate,A=Width(w)×Height(h)⇒A=(1.5m)×(2.4m)=3.6 m2Vertical distance from top of water to…

Q: 2-69. The tapered settling tank is filled with oil. Determine the resultant force the oil ex- erts…

Q: A vertical rectangular wall with a width of 20 m and a height of 12 m is holding a7-m-deep water…

A: Given data: H=12 mw=20 mh=7 m Need to determine the resultant hydrostatic force acting on this wall.

Q: A fish tank that contains 60 cm high water is moved in the cabin of elevator. Determine the pressure…

Q: C5-99 A wine barrel is modeled as a circular cylinder 4 ft in diameter and 6 ft long on its side as…

A: Center of point is the point at which the total pressure is applied due to fluid. Given, Diameter of…

Q: 5-86 The width of the rectangular gate shown in Fig. P5-86 is 2 m. Determine the magnitude of the…

Q: Q2) A cylindrical tank of (1.5 m) diameter and height (0.75) m has hemispherical dome Fig. The tank…

A: given relative density = 0.84 (oil) pressure = 50Kpa 4 bolts

Q: 2=z01)“ as shown. he dam has ae 20=3m and the height of water reta >7-3. The ffluid is weter,…

Q: 1.5m 60 0.5m 0.5m 0.5m

A: For solution refer below images.

Q: open deep specific gravity 0.85 to a depth of 1.4 m. If the tank is accelerated along its length on…

Q: 5-94 A flat plate is used to seal an opening in a large water (p = 1000 kg/m) tank as shown in Fig.…

A: Given data d=10 mh=1 m

Q: 3.29 Calculate magnitude and location of the resultant force of water on this annular gate. 1m Water…

A: magnitude is 15.602 kN

Q: 5-82 If the dam shown in Fig. P5-82 is 50 m wide, de- ermine the magnitude of the resultant force R…

A: Given data: The width of the dam is, b = 50 m. The density of water, ρ = 1000 kg/m3. Draw the…

Q: Q3 Cadculate the totoniaas st location of hinge (X) for the gate shawn belaw, for the gale to open.…

A: Write the expression for the height from the free water surface where the hydrostatic force acts on…

Q: 9-129. Determine the magnitude of the resultant force acting on the gate ABC due to hydrostatic…

A: The width of the gate is b=1.5 m. The density of the water is ρw=1.0 Mg/m3. The length of section BC…

Q: The buoyant force acting on a floating body passes through the centroid of * .the displaced volume-…

Q: 5-81 If the dam shown in Fig. P5-81 is 200 ft wide, de- cermine the magnitude of the resultant force…

A: The width of the dam w=200 ft The depth of the water h=20 ft The specific weight of the water γ=62.4…

Q: Fluid with a density of 1200 kg/m^3 is applying pressure on the gate shown. The depth of the water…

A: ρ=1200 kg/m3 h=6 m b=3 m Area=b×h Area=3×6 A=18 m2 Centroid of the gate (h¯)=3m

Q: 5-89 The width of the rectangular gate shown in Fig. P5-89 is 3 ft. Determine the magnitude of the…

A: The width of the rectangular gate is b=3 ft. The density of water is γ=62.4 lb/ft3. The depth of…

Q: Open tank (4 m long, 3 m height and 3 m wide) contains liquid (S-0.8) to height 1.5 m. If this tank…

A: Given, S = 0.8 L x B x H = 4 x 3 x 3 h = 1.5 m ax = 2.5 m/s2

Q: F2-14. Determine the resultant force the oil exerts on the semicircular surface AB. The tank has a…

Q: A closed cylindrical vessel of diameter 20 cm and height 100 cm contains water upto a height of 70…

Question

5-85* The width of the rectangular gate shown in Fig.
P5-85 is 8 ft. Determine the magnitude of the resultant force
R exerted on the gate by the water (y = 62.4 lb/ft) pres-
sure and the location of the center of pressure with respect
to the hinge at the bottom of the gate.
B
3 ft
7 ft

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

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.
The truck carries an open rectangular container that is 3.9m wide, 3.0m deep and 5.0m long, contains oil of density 811kg/m³ to a depth of 2.1m. If it has a constant acceleration of 6.9m/s². Determine the total force(in kN) acting at the rear wall of the container.
The curved surface given in the figure is defined by y = 3 x−−√x . Determine the horizontal force and its line of action applied by water on the curved surface. The width of the gate is b = 2.3 m. Take the density of water to be 1000 kg/m3. Height of the water is 5 m
A 4.5 m-diameter vertical cylindrical milk tank rotates at a constant rate of 15 rpm. If the pressure at the center of the bottom surface is 140 kPa, determine the pressure at the edge of the bottom surface of the tank. Take the density of the milk to be 1100 kg/m3. Draw the FBD
Determine the volume of the body (s=3.0) that is required to keep the gate in the position indicated in the figure. The gate is 2.40m wide and 4.2m long.
Using the figure Determine the reaction force on the smooth support at B due to the fluid pressure on the gate. The width of the gate into the page is 1.5 m and the density of the water is 1000 kg / (m3) .
A tank contains a liquid of relative density 0.80. The height of the tank is 4, and the width of the tank is 2m. The tank is subjected to the acceleration of 5m/s^2 along a 30o inclined plane in the upward direction. Under this condition, there is no loss of liquid. determine the slope of free surface determine the pressure at presure
A tank contains a liquid of relative density 0.80. The height of the tank is 4, and the width of the tank is 2m. The tank is subjected to the acceleration of 5m/s^2 along a 30o inclined plane in the upward direction. Under this condition, there is no loss of liquid. determine the slope of free surface determine the pressure at point A and point B
A closed tank rectangular in plane with vertical sides is 1.8m deep and contains water to a depth of 1.2m. Air is pumped into the space above the water until the air pressure is 35kN/m2. If the length of one wall of the tank is 3m, determine the resultant force on this wall and the height of the centre of pressure above the base
The water in a 25-m-deep reservoir is kept inside by a 90-m-wide wall whose cross section is an equilateral triangle. Determine (a) the total force (hydrostatic + atmospheric) acting on the inner surface of the wall and its line of action and (b) the magnitude of the horizontal component of this force. Take Patm = 100 kPa.
An open tank containing water is accelerated vertically at 5.8 If the motion is downward with positive acceleration, determine the pressure (kPa) 1.85 m below the surface.
The 100cm radius cylinder weighs 3.1 KN and rest on the bottom of a container which is 1.5 meter long. Oil and water are poured into the left and right portion of the container to the depth of 0.8m and 1.4m respectively. Find the magnitude of the horizontal and vertical components of the force which will keep the cylinder touching the container at B.