A copper wire LM is fused at one end, M to an iron wire MN as shown in figure below. L M N F The copper wire has length 0.90 m and cross-section area 0.90 ×10-6 m². The iron wire has length 1.40 m and cross-section area 1.30 x10-6m2. The compound wire is stretched and the total length increases by 0.01 m. Given Yiron = 2.10 ×1011 Pa and Give Ycopper = 1.30 x1011 Pa. Determine the ratio of the extension of copper wire to the extension of iron wire, %3D a.

A copper wire LM is fused at one end, M to an iron wire MN as shown in figure below. L M N F The copper wire has length 0.90 m and cross-section area 0.90 ×10-6 m². The iron wire has length 1.40 m and cross-section area 1.30 x10-6m2. The compound wire is stretched and the total length increases by 0.01 m. Given Yiron = 2.10 ×1011 Pa and Give Ycopper = 1.30 x1011 Pa. Determine the ratio of the extension of copper wire to the extension of iron wire, %3D a.

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 27AP: The lintel of prestressed reinforced concrete in Figure P12.27 is 1.50 m long. The concrete encloses...

See similar textbooks

Related questions

Q: A bar ACB has is subjected to an external load at C, and it is supported either end by a cable as…

A: We need to calculate the smallest area of cross section possible for the two cables at the end of…

Q: A thin rod extends from x =D 0 to x = 13.0 cm. It has a cross-sectional area A = 6.50 cm-. adits…

Q: A column 600 mm in diameter is reinforced with 8-25mme bars and 12 mm spirals spaced at 100 mm on…

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

Q: A stainless steel tube with an outside diameter of 46 mm and a wall thickness of 5 mm is used as a…

Q: A rubber band 20 cm long has a cross-sectional area of 0.04cm^2. What load (in dynes) will stretch…

A: Given data: The length of the rubber band is L = 20 cm. The cross-sectional area of the rubber band…

Q: A cable has a diameter of 0.949 mm. The cable stretches 0.658% of its original length, when a mass…

Q: f a compressional stress of 200.0 N is applied to a copper rod having a diameter of .500 cm and a…

Q: Two rods of equal length 10.55 m2 anddiameter 11.7 cm2 are placed end to end. One rod is…

A: Given: Length of the rods= 10.55 m2 compressive force = 8400 N Diameter of the rod = 11,7 cm

Q: A rubber band 20 cm long has a cross-sectional area of 4 mm?. What load will stretch the rubber band…

A: Given data: Length of the rubber band, L=20 cm = 0.20 m Cross section area of the band, A=4…

Q: A hanging wire made of an alloy of titanium with diameter 0.45cm is initially 10m long. When a 50kg…

A: The Young's modulus is defined as the ratio of the longitudinal stress to the longitudinal strain.…

Q: A solid spherical material made of rubber with was exposed to a change in pressure of 85 Pa.…

A: Given: The change in pressure (∆P) is 85 Pa. The volume reduced to 8% of the original volume.…

Q: A rectangular piece of wood, 50 mm x 100 mm in cross-section is used as a compression block as shown…

Q: Determine the elongation of the rod in Figure P9.75 if it is under a tension of 5.8 x 103 N.

A: Given:Radius of rod (r) = 0.2 cm. = 0.2×10-2 m.Length of rod (l) = 3.9 m.Length of aluminum part…

Q: The cross-sectional area of the bar is 5 cm?. Use E= 70 GPa for aluminum, and E= 200 GPa for steel.…

Q: A short timber post of rectangular section has one side twice the other. It contracts by 0.05 cm/m.…

Q: 3. A solid spherical material made of rubber with was exposed to a change in pressure of 85 Pa. Its…

Q: A tunnel of length L = 130 m, height H = 9.4 m, and width 5.6 m (with a flat roof) is to be…

A: L = 130 m, height H = 9.4 m, and width 5.6 m (with a flat roof) is to be constructed at distance d =…

Q: Comic-book superheroes are sometimes able to punch holes through steel walls. (a) If the ultimate…

Q: A typical silo on a farm has many metal bauds wrapped around its perimeter for support as shown in…

A: The pressure is directly proportional to the depth which means if the pressure increases the depth…

Q: Two plates with a thickness of 1 cm are joined by four bolts with a diameter d = 2 cm as shown in…

A: SOlution; Given that Ϯsafe=280 MPa ϭL =320 MPa d =2 cm t = 1 cm

Q: The wire has a diameter of 0.84 mm and a natural length of 3.5 m. Use the graph to determine: a the…

Q: hollow cylindrical pipe is made from material 1 listed i he table below. The pipe is 3.5 m long, has…

Q: 213. The rigid bar AB, attached to two vertical rods as shown in the figure, is horizontal before…

Q: When water freezes, it expands by about 9.00%. What would be the pressure increase inside your…

A: Given data The expansion volume of the water is ∆vv=9 %=0.09 The bulk modulus of ice is k = 2 x 109…

Q: A rigid steel plate is supported by three posts of high-strength concrete each having an effective…

A: Given Cross sectional area = 40000 mm2 Length = 2 m s = 1mm Stress in the concrete = 20 MPa E of the…

Q: A solid cylindrical steel column is 4.0 m long and 9.0 cm in diameter. What will be its decrease in…

A: Young's modulus is the ratio of the stress with the strain. It represents the elastic properties of…

Q: The cross-sectional area of the bar is 5 cm?. Use E = 70 GPa for aluminum, and E = 200 GPa for…

Q: PROBLEM 2. The light rigid bar ABCD shown in Fig. P-252 is pinned at B and connected to two vertical…

A: P=41.29KN

Q: Find the elongation of a rod made of aluminum and copper under a tension of 5.8×103 N. The…

A: Given information: Here, R is the radius of the rod, T is the tension, LAl and LCu are the length…

Q: A square flat plate of dimensions 1 m x 1 m is moving with a maximum speed , U causing a fully…

A: The given values are, A=1 m×1 m=1 m2ρ=1.2 kg/m3υ=1.5×10-5 m2/s

Q: A 330 gram ball is attached to one end of a rubber (Young's Modulus= 0.120 GN/m2) wire of diameter…

Q: he cross-sectional area of the bar is 5 cm?. se E = 70 GPa for aluminum, and E= 200 GPa for steel.…

Q: A shearing force of 75 N is applied to an aluminum rod with a length of 10 m, a cross-sectional area…

Q: Gold, which has a density of 19.32 g/cm3, is the most ductile metal and can be pressed into a thin…

A: Consider the mass of the Gold as 1.915g.Find the volume of the gold formed into a thin leaf.

Q: A 330 gram ball is attached to one end of a rubber (Young's Modulus= 0.120 GN/m²) wire of diameter…

A: Given Mass m = 330 g = 0.33 kg Young's modulus Y = 0.12 GN/m2 = 0.12 × 109 N/m2…

Q: hanging wire made of an alloy of aluminum with diameter 0.05 cm is initially 3.0 m long. When a 7 kg…

A: Given :- The diameter d = 0.05 cm initial length L = 3.0 m The hanging wire mass m = 7 kg The…

Q: Betwoen each pair of vertebrae in the spinal column is a cylindrical disc of cartilage. Typically,…

Q: Given is a thin-walled tube with the following data: Wall thickness- 3mm Torque is 900 N.m Length of…

Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

. A copper wire LM is fused at one end, M to an iron wire MN as shown in figure below.
L
M
N F
The copper wire has length 0.90 m and cross-section area 0.90 x10-6 m². The iron wire has length
1.40 m and cross-section area 1.30 x10-6 m2. The compound wire is stretched and the total length
increases by 0.01 m. Given Yiron = 2.10 x1011 Pa and Give Ycopper = 1.30 x1011 Pa. Determine
%3D
%3!
a. the ratio of the extension of copper wire to the extension of iron wire,

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

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, physics and related others by exploring similar questions and additional content below.

Similar questions

A copper rod with length 1.4 m and cross-sectional area 2.0 cm2 is fastened to a steel rod of length L and cross-sectional area 1.0 cm2. The compound structure is pulled on each side by two forces of equal magnitude 6.00 104 N (Fig. P14.57). Find the length L of the steel rod if the elongations (L) of the two rods are equal. Use the values Ysteel = 2.0 1011 Pa and YCu = 1.1 1011 Pa. FIGURE P14.57
Let AI represent the density of aluminum and Fe that of iron. Kind the radius of a solid aluminum sphere that balances a solid iron sphere of radius rFe on an equal-arm balance.
A rod extending between x = 0 and x = 14.0 cm has uniform cross-sectional area A = 9.00 cm2. Its density increases steadily between its ends from 2.70 g/cm3 to 19.3 g/cm3. (a) Identify the constants B and C required in the expression = B + Cx to describe the variable density. (b) The mass of the rod is given by m=allmaterialdV=allxAdx=014.0cm(B+Cx)(9.00cm2)dx Carry out the integration to find the mass of the rod.
The lintel of prestressed reinforced concrete in Figure P12.27 is 1.50 m long. The concrete encloses one steel reinforcing rod with cross-sectional area 1.50 cm2. The rod joins two strong end plates. The cross-sectional area of the concrete perpendicular to the rod is 50.0 cm2. Youngs modulus for the concrete is 30.0 109 N/m2. After the concrete cures and the original tension T1 in the rod is released, the concrete is to be under compressive stress 8.00 106 N/m2. (a) By what distance will the rod compress the concrete when the original tension in the rod is released? (b) What is the new tension T2 in the rod? (c) The rod will then be how much longer than its unstressed length? (d) When the concrete was poured, the rod should have been stretched by what extension distance from its unstressed length? (e) Find the required original tension T1 in the rod. Figure P12.27
A short timber post of rectangular section has one side twice the other.It contracts by 0.05 cm/m. When loaded axially by 10kN, calculate thesections dimension of the post. E= 0.1x10^5N/mm^2
A 9 16 -in.-diameter steel rod is tested in tension and elongates 0.00715 in. in a length of 8 in. under a tensile load of 6500 lb. Compute (a) the stress, (b) the strain, and (c) the modulus of elasticity, E, based on this one reading. The proportional limit of this steel is 34,000 psi.
Suppose that a copper sphere of radius 3 cm is beaten and drawn into a wire of diameter 0.2 cm. What is the length of the wire?
A copper wire of length 2.2m and a steel wire of length 1.6m both of diameter 3.0mm, are connected end to end. When stretched by a load , the net elongation is found to be 0.70mm . Obtain the given load (given Yc=1.1*10 11N/m2)
Calculate the mass of a solid gold rectangular bar that has dimensions lwh = 4.40 cm ✕ 13.0 cm ✕ 25.0 cm. (The density of gold is 19.3 ✕ 103 kg/m3.)
A rock climber hangs freely from a nylon rope that is 16 m longand has a diameter of 8.1 mm. If the rope stretches 4.2 cm, what isthe mass of the climber?
In 2009, one of the U.S government’s bailout packages was $700 billion when gold was worth $800 per ounce ($28.20 per gram). Calculate the mass in grams of $700 billion worth of gold. If this amount of gold were in the shape of a cube, how long would each of its sides be?
If the copper is drawn into wire whose diameter is 8.00 mmhow many feet of copper can be obtained from the ingot? The density of copper is 8.94 g/cm^ 3 (Assume that the wire is a cylinder whose volume is V = pi * r ^ 2 * h where r is its radius and h is its height or length.