lOCk oT WOOd has a mass of 3.90 kg and a densityof 548 kg/mº. It is to be lIoaded with lead (1.13 *kg/m³) so that it will float in water with 0.881 of its volume submerged. What mass of lead is eded if the lead is attached to (a) the top of the wood and (b) the bottom of the wood?

lOCk oT WOOd has a mass of 3.90 kg and a densityof 548 kg/mº. It is to be lIoaded with lead (1.13 *kg/m³) so that it will float in water with 0.881 of its volume submerged. What mass of lead is eded if the lead is attached to (a) the top of the wood and (b) the bottom of the wood?

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: Problem 2 Calculate the density and specific weight of carbou dioxide at a pressure of 300 kNm…

A: An ideal gas is a theoretical gaseous material whose behaviour is perfectly characterised by the…

Q: A circular plate of 1 m diameter is immersed in water in such a way that its plane makes an angle of…

Q: A young girl found two spheres (1.1 m in diameter each), weighing 6 kN and 14 kN, respectively. She…

Q: A wedge of wood having a specific gravity of 0.60 is forced into the water by a 150 lb force. The…

Q: What is the smallest diameter glass tube that will keep the capillary height-change of water at 20…

Q: Is bouyant force acting on the body submerged increasing as the object goes deeper into the water?…

A: Archimedes' principle The buoyant force acting on a body that is immersed in the fluid is equal to…

Q: 02) A rigid ring A and a rigid thin disk B both made of same material when gently placed on water…

Q: The total weight of a Cubical body is W____N in the air. The cube has a side length of 0.4 m. If the…

A: Given data: W=754 NL=0.4 mSG=0.85 Need to find the condition of the cube.

Q: A circular wooden log is floating in water. It has a diameter of 1.41m, length of 6.5m, and…

Q: The density of a floating body can be determined by tying weights to the body until both the body…

A: Given: The weight of wood log in air = 1400 N The density of the lead = 11300 kg/m3 The mass of lead…

Q: What force, F, must be applied to the S-shaped gate to keep it closed? The gate is 1 m wide and the…

Q: To what height will 68˚F ethyl alcohol rise in a 0.005 in internal diameter glass capillary tube?…

Q: A 3.5-Hire cube-shaped block of density 410 kg/m³ is released in water. If faces of the blok remain…

Q: Discuss the stability of (a) a submerged and (b) a floating body whose center of gravity is above…

A: The submerged body is a body that is lying fully in water. If the center of gravity of submerged…

Q: The surface tension of water in air is approximately 0.0072lbf/ft. If the atmospheric pressure is…

Q: A hollow steel tube (diameter = 4.14 cm) is sealed at one end and loaded with lead shot to give a…

A: From the buoyancy, the weigh of volume of water displaced will be same as the weight of the steel…

Q: A cubical float, 1.22 m on a side, weighs 1.78 kN and is anchored by means of a concrete block that…

A: Given data: Cubical float of side, a = 1.22 m Weight of cube, wc =1.78 kN Concrete block weight,…

Q: Midas threw a cube of an unknown porous composite in his bath. The floating cube is 10.0cm in width…

Q: al cm and a thickness of 0.1 mm floats on a fluidic surface and bends the surface 3. A thin metal…

Q: Under the right conditions, it is possible, due to surface tension, to have metal objects float on…

Q: Watersurface. -3 m hinged. gate P 3 m

A: Given data:-specific weight of water, ω=9810N/m3weight of gate, W=800NNow,length of the gate,…

Q: A bottle consist of a cylinder 35 cm in diameter and 30 cm high and a neck 5 cm in diameter and 30…

A: Given Diameter = 35 cm High = 30 cm Neck diameter = 5 cm Long = 30 cm To find Depth of the open end…

Q: glass tube of uniform radius. Ris inserted into water at 20°C, with surface tension, o= 0.073 N/m.…

Q: The hydrometer shown in Fig. P2.87 with no mer- cury has a mass of 0.01 kg. It is designed to float…

Q: A body floats half and submerged in a certain liquid (s.g. = 1.25) and has a weight of 500 kN.…

A: The weight of the body will act downward and the buoyant force will act upward.

Q: If the wall AB shown is 48 meter long calculate the total force (in the uhlt of KN) on the wall due…

Q: The two sides of a V-shaped water trough are hinged to each other at the bottom where they meet, as…

A: Given data: The angle of each side is θ = 45o. The width of the each side is x = 0.75 m. The length…

Q: Differential equations A cylinder of 10 cm radius and 15 cm height has a weight of 19.6 N, if the…

A: We know that for a body to float over water, its density must be lesser than the density of water.…

Q: Consider the slanted plate AB of length L in Fig. .( a ) Is the hydrostatic force F on the plate…

A: No, the hydrostatic pressure here is not equal to the missing water above the plate. Understand the…

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 rectangular watertight box (of treasure) is 660mm long. 520mm wide and 310mm deep. It weighs 323N.…

A: Given Length L= 660 mmW=520mmd=310 mmWeight Wt=323 N

Q: A metal bar weighs 3.0 kg. When it is completely submerged in water as it is hanging from a…

A: Concept Of Apparent Weight And Buoyancy Is Used.

Q: A rectangular plate of width 2 m and height 5 m is suspended in the water so that the top of the…

A: If a plate is suspended in water, then force on a plate will cause due to buoyancy effect. It is…

Q: The volume of the cylindrical body is 0.04 m³ and its total mass is M ... Kg. The base radius of the…

Q: A block of wood 4 m long, 2 m wide and 1 m deep is floating horizontally in water. If the density of…

Q: O A rigid ring A and a rigid thin disk B both made of same material when gently placed on water just…

Q: If the wall AB shown is 48 meter long calculate the total force (In the uhit of KN) on the wall due…

Q: Q) Find the density of metallic body which floats at the interface of mercury of sp.gr 13.6 and…

Q: - The mass less, 1.2 m wide gate shown in fig. (2.7) pivots about the frictionless hinge (0). It is…

A: Given data: Width of the gate, b = 1.2 m. The magnitude of the counterweight, w= 8900 N. The…

Q: Calculate the maximum diameter (mm) of a steel ball that would float on water at 15°C. At 15°C, σ =…

Q: If the Buoyancy force exterted on a crown immersed in water is 0,98N and its weight in air is 7,84N.…

A: Given The buoyancy force acting on the crown is P=0.98 N. The buoyancy force exerted on a body is…

Q: A cylindrical platform of diameter of 2.82 m and height 4.1 m floats in saline water (density = 1026…

A: Given Calculated e) as 17293.23kg and f) as 675.65kg/m3 Need help with g), h) and i)

Q: The hemispherical dome in Fig. weighs 30 kN and isfi lled with water and attached to the fl oor by…

A: Assuming no leakage, the hydrostatic force required equals the weight of missing water,…

Q: A raft is made using a number of logs with 25 cm diameter and 2 m long, as shown in the figure. It…

A: Given data: Diameter of log, d = 25 cm Length of log, l = 2 m Specific gravity of wood, = 0.75 Max.…

Q: a) Derive the relationship between Young's modulus (E), Bulk modulus (K) and Poisson's ratio…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: How can a ship made of steel (psteel = 7.9 g/cm³) float in water? %3D

Q: A cylinder of radius 0.5m and height 4m is rotated at 10 rad/s about its vertical axis. If the…

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

A block of wood has a mass of 3.90 kg and a density of 548 kg/m³. It is to be loaded with lead (1.13 ×
104 kg/m³) so that it will float in water with 0.881 of its volume submerged. What mass of lead is
needed if the lead is attached to (a) the top of the wood and (b) the bottom of the wood?
(a) Number
Units
(b) Number
i
Units
>
>

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

Trending now

This is a popular solution!

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

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 density of a floating body can be determined by tying weights to the body until both the body and the weights are completely submerged, and then weighing them separately in air. Consider a wood log that weighs 1400 N in air. If it takes 34 kg of lead (? = 11,300 kg/m3) to completely sink the log and the lead in water, determine the average density of the log.
A block of wood floats in water with 45 mm projecting above the water’s surface. When placed in glycerine of Relative Density (RD) 1.34, the block projects 70 mm above the surface of that liquid. Determine the density of the wood
A ring weighs (83.327×10^-4) N in air and (80.33×10^-4) N when submerged in water: 1. What is the volume of the ring? 2. What is the density of the ring? 3. What is the ring made of?
A bottle consist of a cylinder 35 cm in diameter and 30 cm high and a neck 5 cm in diameter and 30 cm long. The bottle is inserted into a body of water, with the open end of the neck first until the neck is completely filled with water. Assuming the pressure of the atmosphere is standard, and neglecting vapor pressure, what is the depth to which the open end is submerged below the free surface? Show correct figure.
Solve Correctly A cylinder object is suspended in a liquid at a distance of 38cm below the surface. The diameter of the object is 140cm and the density of the object is 960 kg/m3. The density ratio is 1. Determine the height of the cylinder, if the buoyant force is 7N.
Define the buoyant force and explain how it develops. Does the buoyant force vary with the depth of a submerged body? Why or why not?
A bottle consist of a cylinder 35 cm in diameter and 30 cm high and a neck 5 cm in diameter and 30 cm long. The bottle is inserted into a body of water, with the open end of the neck first until the neck is completely filled with water. Assuming the pressure of the atmosphere is standard, and neglecting vapor pressure, what is the depth to which the open end is submerged below the free surface? Show correct figure and detailed solution.
It is said that Archimedes discovered the buoyancy lawswhen asked by King Hiero of Syracuse to determinewhether his new crown was pure gold (SG = 19.3).Archimedes measured the weight of the crown in air to be11.8 N and its weight in water to be 10.9 N. Was it pure gold?
A hollow container in the shape of a truncated cone floatsin oil (d.r.=0.9), with half of its total heightsubmerged, when attached to a block of weight 150Kg. as shown in the figure. Determine:A) The weight of the prism in KgB) If the rope that joins the cone to the block is cutof 150 kg, will the container float or sink? Demonstrate and explain. Don't take stability into accountof the container
For your science exhibit, you want to make a block of wood float at the interface between a layer of oil of unknown density Poil, and water (pwater = 1000 kg/m3 inside a container as shown. The density of the wood is pwood = 800 kg/m3. What must be the density of the oil so that only 30.0 % of the wood is submerged in water?
Take the density of the crown to be ρc. What is the ratio of the crown's apparent weight (in water) Wapparent apparent to its actual weight Wactual? Express your answer in terms of the density of the crown ρc and the density of water ρw.