As shown in the figures below, and the Video, a rectangular barge floats in a stable configuration provided the distance between the center of gravity, CG, of the object (boat and load) and the center of buoyancy, C, is less than a certain amount, H. If this distance is greater than H, the boat will tip over. Assume H is a function of the boat's width, b, length, I, and draft, h. The results of a set of experiments with a model barge with a width of 1.8 m are shown in the table. Plot these data in dimensionless form. Determine (a) D and (b) E in a power-law equation relating the dimensionless parameters: H/b = D(h/b). 1, m 2.0 4.0 2.0 4.0 2.0 4.0 h, m H, m 0.10 0.10 0.20 1.82 0.20 0.912 1.82 (b) E= i 0.912 0.35 0.521 0.35 0.521 (a) D= i 0.5668 0.9968327209213169 CG F Unstable 1 H CG Overturning couple CG

As shown in the figures below, and the Video, a rectangular barge floats in a stable configuration provided the distance between the center of gravity, CG, of the object (boat and load) and the center of buoyancy, C, is less than a certain amount, H. If this distance is greater than H, the boat will tip over. Assume H is a function of the boat's width, b, length, I, and draft, h. The results of a set of experiments with a model barge with a width of 1.8 m are shown in the table. Plot these data in dimensionless form. Determine (a) D and (b) E in a power-law equation relating the dimensionless parameters: H/b = D(h/b). 1, m 2.0 4.0 2.0 4.0 2.0 4.0 h, m H, m 0.10 0.10 0.20 1.82 0.20 0.912 1.82 (b) E= i 0.912 0.35 0.521 0.35 0.521 (a) D= i 0.5668 0.9968327209213169 CG F Unstable 1 H CG Overturning couple CG

Name: As shown in the figures below, and the Video, a rectangular barge flo
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: As shown in the figures below, and the Video, a rectangular barge floats in a stable configuration provided the distancebetween the center of gravity, CG, of the object (boat and load) and the center of buoyancy, C, is less than a certainamount, H.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Discussion: 1-Discuss the source of errors in density measurement experiment. 2-Can you use the same…

Q: Q2/ For system shown, find the relation between variables that reflect the reaction force on the…

A: Rayleigh method is mainly used in dimensional analysis. It is used to find the expression of…

Q: 2. Find the force exerted by a liquid with weight density w on one side of the vertically submerged…

A: Given:Weight density of liquid = wDepth of top of the plate from surface of liquid, h = 4 ftFrom the…

Q: If solving the question in 3D calculations is difficult, then use the 2D system to determine the…

A: Let us now discuss about the above fluid problems.

Q: 1. If the level of the liquid measured by using capacitive probe and buoyant force is same, find the…

A: Buoyant force: It is the force applied on the object when any object is fully or partially submerged…

Q: The ship with an average density p is sinking in a water reservoir with a depth of h. After what…

A: The forces on the ship as it is descending down the tank are shown in the Free Body Diagram(FBD)…

Q: Determine the resultant force (magnitudes and direction) acting on the gusset plate of a bridge…

A: If a force F is inclined at an angle θ with the horizontal, then the component of force along the…

Q: 200 cm 20 cm 60 cm A foam with specific weight of 0.628 kN/m3 is attached to a square bottomed…

A: Given data: γfoam=0.628 kN/m3h=0.9 mSGO=0.8 Need to determine the specific weight of the required…

Q: Problem II. A right circular cone is 100mm in diameter and 200mm high and weighs 1.6N in air. How…

Q: Fluid Mechanics A cube box container with open-top is made up of plastic sheet material. The area…

A: An upward, or buoyant, force acts on any body wholly or partially submerged in a fluid (gas or…

Q: 2. What is the definition of an angle in radians? 3. Does the weight of an object depend on its…

A: 2 .ONE RADIAN =The angle in the centre of a circle subtended by an arc whose length matches the…

Q: 2 A US Navy nuclear submarine (mass m = 10,000,000 kg) is cruising under the Arctic ice sheet at a…

A: (a) the size of the buoyant force weight of submarine = Fb FB = 1000000 * 9.81 = 9810 KN

Q: The object shown below is stable and floating in the water. (1) Please match center of gravity cg,…

A: Centre of gravity = Point B

Q: Q4. Balloons are often filled with helium gas (Figure 4) because it weighs only about one-seventh of…

Q: The two-pan balance scale of Fig. a 400-mm-long bar that fits loosely over a 20-mm-diame- ter shaft.…

A: Given data: The length of the bar, l = 400 mm. The diameter of the shaft, ds = 20 mm. Coefficient…

Q: Q4- Determine the horizontal force * .(P) required for equilibrium 41.212 kN 90.111 kN 77.986 kN…

Q: When a body floating in a liquid is given a small angular displacement, it starts oscillating about…

A: Given: Q.3When a body floating in a liquid is givena small angular displacement, it…

Q: A box of carton having 50 cm on each side floats in water. The specific gravity of the carton is…

A: S.G = 0.6 Side of carton = 50 cm = 0.5 m (S.W.)water = 9790 N/m3 To find: Submerge depth of…

Q: PROBLEM # 3 1. A solid block is 70 cm wide, 80 cm long and 20 cm tall, and has a mass of 6700 gm.…

Q: You are designing a roller coaster ride. The cars (mass m) start from rest at the top (height H) of…

Q: The magnitude of the buoyant force is proportional to the volume of fluid displaced by the object.…

Q: The object shown below is stable and floating in the water. (1) Please match center of gravity cg,…

A: CENTRE OF GRAVITY = POINT B

Q: A ferry boat carrying cars can be modeled to be rectangular with width = 35 ft and length = 367 ft.…

Q: A sphere 1 m in diameter floats half submerged in a tank of oil (specific gravity = 0.82). What is…

A: Given:Diameter of sphere=D=1mSo,radius,R=12=0.5mSpecific gravity of oil=so=0.82Let minimum weight of…

Q: Solid cylinder of relative density 0.8 is floating on water with its axis vertical. Its diameter and…

Q: 1. Find the density of an oil filled in the liquid column as shown in figure. Given that absolute…

Q: The highest building in Montreal is the '1 square building', with a height of 203m. The atmospheric…

A: Given data:-Pressure at the streets, P1=9.9×104Padensity of air, ρ=1.2kg/m3acceleration due to…

Q: V 4.0 m Solid Cylinder Figure Q4b A solid cylinder 4 m in diameter and 4 m in height is floating in…

A: d = diameter of the cylinder = 4 m H = height of the cylinder = 4 m Specific gravity of the cylinder…

Topic Video

Question

As shown in the figures below, and the Video, a rectangular barge floats in a stable configuration provided the distance
between the center of gravity, CG, of the object (boat and load) and the center of buoyancy, C, is less than a certain
amount, H. If this distance is greater than H, the boat will tip over. Assume H is a function of the boat's width, b, length, I,
and draft, h. The results of a set of experiments with a model barge with a width of 1.8 m are shown in the table. Plot
these data in dimensionless form. Determine (a) D and (b) E in a power-law equation relating the dimensionless
parameters: H/b = D(h/b).
1, m
2.0
4.0
2.0
4.0
2.0
4.0
(a) D=
h, m
0.10
0.10
0.20
H, m
1.82
0.20 0.912
1.82
i
0.912
0.35 0.521
0.35 0.521
0.5668
(b) E= i 0.9968327209213169
CG
d
h
Unstable
1.
H
CG
Overturning
couple
CG

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: Write the given data.

VIEW

Step 2: Plot the data in dimensionless form and calculate the values of D and E.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 5 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

Please solve very soon completely
We first make equilibrium equations for the fluid pressure and then the free body diagram and then solve the question? Select one: O True O False ZFx=0, EFy=0 and EFz=0 are vector equations for the determination of the equilibrium equations for the fluid pressure in the body immersed in the liquid. Select one: O True O False A beaker is filled with a liquid of density p up to a height h. If half the liquid is replaced by equal volume of another liquid of twice the density, what will be the change in the base pressure? "PA h Ih/2 a) increased by pgh b) decreased by pgh c) increased by pgh-2 d) decreased by pgh=2 Select one: O A O B O C
If 5.0 m^3 of oil weighs 3,900 kgf, calculate its specific weight, density,and specific gravity? Use kilo-Newtons for force, kilograms for mass and cubic meters for volume.
please answer it fast hand writing
6. DETAILS A tennis ball has a volume of 141.00 cm³ and an average density of 275.00 What is the tennis ball's mass, in grams? g kg m³ O 73.37 N MY NOTES What amount of force would need to be applied to cause the tennis ball to be completely submerged in ethyl alcohol (Pethyl alcohol=806- the vertical direction (weight, buoyant force, and applied force). When writing the buoyant force, note that the ball will be fully submerged. What does this do to V?) 1.11 N 0.73 N 0.38 N 38.00 N 7337.36 N ASK YOUR TEACHER kg -)? (HINT: Set up a FBD and look at all the forces acting in
A barge pulled by a tugboat can be described as a rect- angular box that is open on the top. A certain barge is 30.2 feet wide and 12.50 feet high, with the base of each side being 116 feet long. If the barge itself weighs 6.58 x 10 pounds, what will be the draft (depth in the water) if the cargo weighs 1.12 × 10°pounds in (a) sea- water with a density of 1.025 g/mL and (b) freshwater with a density of 0.997 g/mL?
Show equation and step by step solution
In the book, Uncle Ned gets stuck in the air because he is wearing the title pants, which are filled with helium, and the title character (the young scientist Ada Twist) has to help him get down (if you want to know how, you'Il have to read the book). Let's explore whether this perilous invention is feasible. 和 As you know from physics, Uncle Ned will float (in air) if the buoyant force pushing him upward is greater than his weight pulling him downward. Let's assume that Uncle Ned has a mass of 80 kg, and (since, as we said in problem I, humans are mostly made of water) he has the same density as water. a) What is Uncle Ned's weight? (Without the helium, but we can assume the helium won't add much additional weight.) b) What is the buoyant force on Uncle Ned when he is not wearing the helium pants? c) How much minimum volume of helium needs to be in Uncle Ned's pants for him to float? d) If you model Uncle Ned (and his helium pants) as a cube, what would be the minimum length of the…
Solve it correctly, Don't use artificial intelligence
I need a fast solution
A cylindrical buoy 1.8 m in diameter, 1.2 m high and weighing 10kN floatsin salt water of density 1025kg m−3. Its centre of gravity is 0.45 m from the bottom. Ifa load of 2 kN is placed on the top, find the maximum height of the centre of gravityof this load above the bottom if the buoy is to remain in stable equilibrium.
1. Bellow Fig illustrates a cylinder having diameter of 1.8 m and height 1.2 m. The mass of the cylinder is 1019.3 kg which is floating vertically in salty water of density 1025 kg/m³. If an object weighing 2 kN is placed on the top of the cylinder, calculate the maximum height of centre of gravity (z) for the object to keep the cylinder in a state of stable equilibrium. Z 2 kN 0.45m . G₁ G 1.8m 1.2m p=10;