Answered: a)Determine the diameter of the lighter…

Engineering

Mechanical Engineering

a)Determine the diameter of the lighter sphere in meters. b) Determine the tension in the rope in Newtons.

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 8.90P: The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of...

See similar textbooks

Related questions

Q: re base (Fig Q3} of size 5 m x 5 ereby the surface height, in me- n by the function: 1)2 + 5

A: Given data Side of the square= 5m Hight of the container = - 0.1(5-1)2 +5 = -0. 1×16+5 =3.4 mm So…

Q: A flat rectangular plate 1 m wide and 2 m long is immersed in water. The shorter side parallel to…

Q: SAE 30 oil having a specific gravity of 0.78 weighs 17.4 N. Calculate the oil's Specif Weight, y…

A: Given Specific gravity, SG = 0.78 Weight, W = 17.4 N Find Specific weight of oil

Q: A plane is fitted with pontoons for operation on lakes. As it taxies out for take-off, the plane…

Q: Here, a liquid's density is to be determined by a 1-cm diameter cylindrical hydrometer whose…

Q: from old wreacks is to attach an inflatable balloon filed with air. Assume that the cannon is a…

Q: Ship weighing 4000 tons and having an area of 465 m² at water line submerging to depth of 4.5 m in…

Q: A continuous gravity decanter is used to separate two immiscible liquids, oil (SG = 0.65) and water.…

Q: A hollow cylinder 80 cm long in diameter, one end closed, is immersed vertically with its closed end…

Q: Gasoline 1.5 m Water 1 m Liquid, SG = 1.60 %3D P2.13

Q: Contrary to what you might expect, a solid metal ball can float on water due to the surface tension…

Q: Consider a large, helium-filled party balloon with a volume of 1.23 ft^3. The lifting force on the…

Q: 1. A bubble (assuming perfectly spherical) was released from a depth of 120m in the body of water by…

A: (a) Write the expression of absolute pressure when bubble is released. Pabs=Patm+ρgh1

Q: An iceberg has mass 128,000 tonnes (1 tonne = 1000 kg) and is composed of pure ice with density 917…

A: Given data: Mass of the ice (mi) = 128000 tonnes = (128000×1000) kg = 128,000,000 kg The given…

Q: The following questions consider the stability of a floating iceberg. Approximate the iceberg as a…

A: Given: The density of seawater is ρwater=1030 kg/m3 The density of the ice is ρice=920 kg/m3 The…

Q: A 150 mm diameter open circular cylinder is 1 m long and contains water up to a height of 0.7 m.…

Q: Triangular gate having a horizontal base of 1 30 m and an altitude of 2 m is inclined 45 o from the…

Q: a closed cylindrical vessel of diameter 15 cm and length 100 cm contains water up to a height of…

A: Write the given data in the problem. h=80 cm l=100 cm d=15 cmN=500 rpm Here, h is the height of…

Q: You bet your friend that he cannot completely submerge your beach ball, which has a diameter of 60…

A: This problem is related to fluid mechanics. Fluid mechanics is the subject of mechanical engineering…

Q: The surface tension force, σ, of water in air is approximately 0.00518 lb/ft. If the atmospheric…

Q: 3. A mass of 100 kg weighs 980.6 N at sea level. Estimate the weight of this body at the top of a…

A: Gravitational acceleration at sea level g = weight / mass g = 980.6/100 = 9.806 m/s^2 g will…

Q: A cylinder, as shown in the figure, is made of a uniform material, which is partially submerged in…

Q: Two spheres, one heavier and weighing12000 N and of diameter 1.2 m and the other lighter and…

Q: plane is fitted with pontoons for operation on lakes. As it taxies out for take-off, the plane…

Q: It is estimated that 90 percent of an iceberg’s volume is below the surface, while only 10 percent…

A: Given data The volume of icebergs below the surface is 90% of the total volume = 0.90V The volume…

Q: A solid sphere, of diameter 18 cm, fl oats in 20 ° C waterwith 1527 cubic centimeters exposed above…

A: (a) Calculate the total volume of the solid sphere. V=π6d3 Here, V is the total volume of the solid…

Q: A tire weighs 22.2 lb in air and 6.4 in water. What is the tire's density? • Express your answer in…

A: To find tire's density

Q: In hydrostatic pressure force experiment. A rectangular plate with dimensions W= 3.1 m wide and 45…

Q: A Ping Log has the following dimensions: L 4 meters; Dia 2 metes; and with relative density of…

A: Given: Relative density = 0.4247 L = 4 m

Q: The bottom of a steel "boat" is a 7 m ✕ 8 m ✕ 4 cm piece of steel (ρsteel = 7900 kg/m3). The sides…

A: Given: The bottom of the steel boat 7 m ×8 m×4 m The density of the steel is, ρsteel=7900 kgm3 The…

Q: A circular plate 1.2 m diameter is placed vertically in water such that the centre of the plate is…

A: Answer: (a) The total pressure on the plate is 27.74 kN. (b) The depth of centre of pressure is…

Q: A barge has the trapezoidal shape shown in Fig. andis 22 m long into the paper. If the total weight…

A: Given: Total weight of the bar and cargo is 350 tons, length of the barge on paper is 22 m and…

Q: A barge pulled by a tugboat can be described as a rect- angular box that is open on the top. A…

A: Given data, Width of the barge, w = 30.2 ft Height of the barge, h = 12.50 ft Length of the barge, L…

Q: A rectangular barge weighing 300,000 kg is 15 m long, 8 m wide and 5 Im deep. It will transport to…

Q: 8. The density of air is about 1.24kg/m³ at sea level and virtually zero at upper levels of the…

Q: Provide the complete formula and solution and free body diagram. The density of ice is 917 kg/m^3,…

Q: A hydrometer is a device that measures the density of a liquid. If it weighs 0.0216 N and has a stem…

Q: A continuous gravity decanter is used to separate two immiscible liquids, oil (SG = 0.76) and water.…

A: Find , Overflow line height from bottom of the tank

Q: The cap at point B on the 5-cm-diameter tube in Fig.will be dislodged when the hydrostatic force on…

A: Given data: The diameter of the smaller tube, d = 5 cm. Force acting to dislodged the cap at point…

Q: A semicircular plate with diameter 12 ft is submerged vertically 3 ft below the surface of the…

A: The equation for the circle with diameter of 12 ft means radius of 6 ft can be written as x2+y2=36.…

Q: The iceberg idealization may becomeunstable if its sides melt and its height exceeds its width.…

Q: Panels AB and CD in Fig. are each 120 cm wide intothe paper. ( a ) Can you deduce, by inspection,…

A: Part A) Since panels, AB is shorter than CD and its centroid from the free surface is greater than…

Q: A small solid ball is released from rest while fully submerged in a liquid and then its kinetic…

Q: The tank shown has one curved surface restraining a body of static fluid, with the following…

A: Find the value of depth of centre of gravity of curved surface from free surface(X-bar) Given data:-…

Q: Directions: Solve the following problems completely, and make a detailed solution. Any incomplete…

Q: What would be the rotation rate (in rad/sec) if during rotation the water in the right leg (with a…

Q: Solve this question using the Second - order differential equations. Determine whether a cylinder…

A: given; diameter of cylinder (d)=20cm=0.2mheight (h)=30cm=0.3mweight (w)=19.6Nweight density…

Q: Calculate the capillary rise in cm in a glass tube of 3.0 mm diameter when immersed vertically in…

A: In the given question, the surface tension of water is taken to be wrong and hence answer does not…

Q: P1.5 An artificial solar pond is a body of water with a density gradient created by adding salt to…

A: Given, Density variation with depth ,ρ(z)=ρo+αzWe know that,dP=ρgdzdP=(ρo+αz)gdz on…

Question

Two spheres, one heavier and weighing12000 N and of diameter 1.2 m and the other lighter and weighing 4000 N, are tied with a rope and placed in seawater. The density of sea water is 1025 kg/m^3. It was found that the spheres floated vertically with the lighter sphere just under the water PROBLEM 0surface. Illustrate the problem before answering the following questions:

a)Determine the diameter of the lighter sphere in meters.
b) Determine the tension in the rope in Newtons.

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 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 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.
As shown in the illustration, a 6-m-wide, 15-m-long barge is filled with rocks and floats in water. Assume that the rocks' and barge's center of gravity, G, is positioned along the centerline at the barge's surface. What is the metacentric height in meters if the barge carrying the rocks weights 1,765.8 kN? Only round off on the final answer, Use three decimal places.
A platinum disc aboard the International Space Station has a thickness of 6 in. and a diameter of 2 ft. What is the weight (in Ib) of the disc? Assume that the simulated gravity on the Space Station, g. is 6.44 ft/s. The density of platinum is 21,450 kg/m²? (Report to the nearest whole number)
a cubical block with a density of 2500 kg/m^3 fully submerged in water and tied to a box 0.3x0.6x0.9 m size is held down just under the water surface. The box has a mass of 110 kg. A. Determine the dimension of the cubical block in meters. B. Determine the tension in the rope in Newtons.
A cylinder weighing 445 N and having a diameter of 1 m floats in salt water (sp.gr. 1.03) vertically. It has an anchor tied to the cylinder, where the anchor rest at the bottom of the earth. The anchor weigh 23540 N/m3 and has a volume of 0.280 m3. What height “h” above the water surface will be required to lift the anchor off the bottom of the water when a high tide occur? The part of the cylinder is submerged 0.30 m below the salt water.
M1 U5: Use the general solution in determining the total hydrostatic force acting on the submerged curved surface. Please provide the complete UNITS ANALYSIS, USE OF CORRECT CONVERSION RATIOS and DIAGRAMS in your hand-written solution. INCOMPLETE/NO SOLUTION means NO CREDIT. Encode your FINAL answer in the space provided after each question. A curved surface is formed as a quarter of a circular cylinder with R = 0.75 m as shown. The surface is w 3.55 m wide. Water stands to the right of the curved surface to depth H = 0.60 m. seawater 0.60 m (SG = 1.03) %3D 0.75 m Determine the magnitude and direction of the horizontal component of the hydrostatic force (in N) acting on the gate. Indicate the direction by putting an R for right and L for left after your numerical answer. Your answer
A triangular plate with base 6 m and height 2 m is submerged vertically in water such that the highest vertex of the plate is 6 meters below the surface and the base is horizontal to the surface. 6 m 6 m 2 m Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1,000 kg/m3.)
A block of wood floats in water with 2 inches projecting above the water surface. When placed in glycerin of relative weight 1.26, the block floats 3 inches above the liquid. Determine the weight density of the wood.
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?
A ball of 15 cm diameter fell into a tank of water, 13% of its volume found under water. What is the density of the ball? Show the given and draw the diagram.
A wood cube 3 cm on a side floats level on water with just 1.5 mm of the cube showing above the surface. What is the density of the wood (density of water 1 000 kg/m3)?
PLEASE PLEASE HELP SOLVE THIS, A swimming pool is 30 ft wide and 60 ft long and its bottom is an inclined plane, the shallow end having a depth of 4 ft and the deep end, 8 ft. Assume the pool is full of water. (Round your answers to the nearest whole number. Recall that the weight density of water is 62.5 lb/ft3.) (c) Estimate the hydrostatic force (in lb) on one of the sides.