The figure below shows a container filled with a liquid of density p up to a height of 4R. The container is of unit width into the plane of the screen and AB is half a parabola with a height of kR and a base of R. Determine the magnitude and direction of the horizontal component FH of the hydrostatic force acting on the curved surface AB if k-3, R-0.5 m, p= 1000 kg/m³ and the gravitational acceleration g -9.81 m/s². Note that F is positive if it acts towards the right and is negative if it acts towards the left. Geometric properties of a half-parabola are also given below.

The figure below shows a container filled with a liquid of density p up to a height of 4R. The container is of unit width into the plane of the screen and AB is half a parabola with a height of kR and a base of R. Determine the magnitude and direction of the horizontal component FH of the hydrostatic force acting on the curved surface AB if k-3, R-0.5 m, p= 1000 kg/m³ and the gravitational acceleration g -9.81 m/s². Note that F is positive if it acts towards the right and is negative if it acts towards the left. Geometric properties of a half-parabola are also given below.

Name: The figure below shows a container filled with a liquid of density p
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: The figure below shows a container filled with a liquid of density p up to a height of 4R. The container is of unit width into theplane of the screen and AB is half a parabola with a height of kR and a base of R. Determine the magnitude and directio

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

Related questions

Q: A cylindrical tank is resting horizontally on the ground (the circular faces are vertical). The tank…

A: There are two types of forces that act on a circular surface: one type of force is radial force and…

Q: Find the resultant hydrostatic force on plate AB and its location from B. Gama water = 10 kN/m^3.…

A: Consider the diagram shown below for the given system. The distance of the centroid of the plate…

Q: ensity is 1000 kg/m³), determin

Q: Calculate the pressure exerted by water on the hull of a submarine that is cruising at a depth of…

A: Depth, h = 500 ft = 152.4 m Density of ocean water = 1025 kg/m3

Q: A long, solid cylinder of radius 2 ft hinged at point A is used as an automatic gate. When the water…

A: Hydrostatic force and its direction to be calculated

Q: In the figure, fluid 2 is carbon tetrachloride(1.589) and fluid 1 is benzene (SG = 0.877). If the…

A: Principle of Manometry states that pressure of the point at the same horizontal level interconnected…

Q: Find the total (resultant) pressure acting on the tail end of the container containing gasoline (S =…

A: We will solve the problem using D'Alemberts theorem, Resultant force acting at the tail of…

Q: The flat surface shown is submerged vertically in water. Find the fluid force against the surface.…

A: Hydrostatic force is given by the following formula, FH=rho*g*H*A Where rho=density of fluid…

Q: 3.89 Determine the hydrostatic force acting on the radial gate if the gate is 40 ft long (normal to…

A: Given:r=50 ftl=40 ft

Q: An equilateral triangular plate with sides 8 m is submerged vertically in water so that the base is…

Q: Determine the resultant hydrostatic force on side AB, and the location of center of pressure. The…

A: Given:Depth of the oil confinement, h=3mWidth of the confinement, w=2 mDensity of the oil, ρ=900…

Q: A ship of displacement 36000 tonne carries oil fuel in four tanks 16.0 m long and 6.0 m broad, the…

A: Length, L = 16.0 m Breadth, B = 6.0 m Height, H = 6.0 m Number of tanks, n = 4 Specific Gravity, SG…

Q: tank holds water (density of 995.7 kg/m3) with a triangular gate located at the bottom right. The…

Q: A trough, 10meters long is filled with a liquid of density 840 kg/m3. Its cross section is in the…

A: GivenL=10mρ=840 kg/m3b=4mh=5md=4m

Q: The tank in the figure is 120 cm long into the paper. Determine the horizontal and vertical…

Q: e (a) the magnitude of the hydrostatic force on the quarter circle panel tom of the water tank in…

A: Given: To determine: The resultant force The CP of resultant force the angle with which resultant…

Q: The flat surface shown is subnmerged vertically in water. Find the fluid force against the surface.…

A: Given Density, W = 9810 N/m3 Another side c=82+62=10 m Find Force required

Q: 4. A semicircular, hinged gate separates two fluids on either side of a partition. Part (a) of the…

Q: 2 Surface AB is a circular arc with a radius of 4 m and a width of 4 m into the paper. Determine the…

Q: A swimming pool has a width of 4 m and a side profile as shown. Determine the resultant force.…

Q: A- The homogeneous 12-cm cube is balanced by a weight as shown in Figure on the beam scale when the…

Topic Video

Question

The figure below shows a container filled with a liquid of density p up to a height of 4R. The container is of unit width into the
plane of the screen and AB is half a parabola with a height of kR and a base of R. Determine the magnitude and direction of the
horizontal component F# of the hydrostatic force acting on the curved surface AB if k= 3, R = 0.5 m, p = 1000 kg/m³ and the
gravitational acceleration g = 9.81 m/s². Note that F is positive if it acts towards the right and is negative if it acts towards the
left. Geometric properties of a half-parabola are also given below.
FH 1. [17.8419375, 18.9455625 kN.
4R
h
m/00
b
Liquid
Р
X
Half-Parabola
BR
9
A
KR
A = bh
|xc=bh³
yy,chb³
=
15

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate and the smooth surface at B due to water pressure acting on the gate. Use =62.4lb/ft3 for water.
The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of the filled bowl. Approximate the bowl as a thin shell of radius R=6.15in. Use 1=162lb/ft3 for glass and 2=62.4lb/ft3 for water.
The figure below shows a container filled with a liquid of density p up to a height of 4R. The container is of unit width into the plane of the screen and AB is half a parabola with a height of kR and a base of R. Determine the magnitude and direction of the vertical component Fy of the hydrostatic force acting on the curved surface AB if k = 2, R = 0.5 m, p = 1000 kg/m³ and the gravitational acceleration g = 9.81 m/s². Note that Fy is positive if it acts upwards and is negative if it acts downwards. Geometric properties of a half-parabola are also given below. Fy= 1. [-6.7362, -6.3438 kN. 4R h ထမ 35 b Liquid Р X Half-Parabola BR KR A = 3bh 1xc=²bh³ |yxc=hb³ |yy,c=²7/531 2 h63
Need help with this engineering problem.
Fluid machanic
A barrel in the form of a frustum of a cone with a radius of 3m and 6m at the bottom and at the top respectively. It is 5m high and is 4/5 full of oil (0.83). Determine the a. Total hydrostatic force "F" acting on the wall of the barrel in kN and b. its line of action "s" from the bottom
Determine 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. 3m
A semicircular plate with diameter 12 ft is submerged vertically 3 ft below the surface of the water. Express the hydrostatic force (in Ib) against one side of the plate as an integral (let the positive direction be upwards) and evaluate it. (Round your answer to the nearest whole number. Recall that the weight density of water is 62.5 Ib/ft3.) 2 ( (11-y)V24 -j? ). 6. dy z 22809 Ib
This Utah-shaped plate is submerged in oil, (s=0.94) and lies in a vertical plane. Find the magnitude and location of the hydrostatic force acting on one side of the plate. * Oil surface 1.5 m 1.5 m 4.6 m 2.6 m 3.8 m O 4.27 4.47 O 4.67 4.87
Surface AB is a circular arc with a radius of 2 m and a width of 1 m into the paper. The distance EB is 4 m. The fluid above surface AB is water, and atmospheric pressure prevails on the free surface of the water and on the bottom side of surface AB. Find the magnitude and line of action of the hydrostatic force acting on surface AB.
A semicircular gate with a radius R = 7 ft is hinged along B and held by a horizontal force FA applied at A. The picture on the right shows the gate if you were looking in the direction of the arrow beneath FA. The liquid to the left of the gate has a specific weight of y-64.8 lbf/ft° and a depth of H-26 ft. Calculate the force of the liquid on the gate in Ibf. FA A Gate: side view R В
2- A tank containing water is shown in Fig. Calculate the total resultant force acting on side ABCD of the container and the 6 ft location of the center of pressure. IF 62.4 Ib/ft3 Y = Water B -20 ft 3- Find the total pressure and position of center of pressure FREE WATER SURFACE on a triangular plate of base 2 m and height 3 m which is 60 2.5 immersed in water in such a way that the plane of the plate -2 m- makes an angle of 60 with the free surface of the water. .3 The base of the plate is parallel to water surface and at a depth of 2.5 m from water surface.