A steel music wire (Gage No. 32 with a diameter of 0.090 in.) is employed to support an axial load F = 198 lbf. If the wire was initially Lo 14 ft in length, determine the change in length of the wire and the normal stress and strain in the wire.

A steel music wire (Gage No. 32 with a diameter of 0.090 in.) is employed to support an axial load F = 198 lbf. If the wire was initially Lo 14 ft in length, determine the change in length of the wire and the normal stress and strain in the wire.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 50PQ

See similar textbooks

Related questions

Q: d) Deduce the laminar fluid flow equation for the reservoir system depicted in Fig. Q2(d). Assume…

Q: There are two forces on the 2.92 kg bax in the overhead view of the figure but only one is shown.…

A: Given:- The mass of the box is m = 2.92 kg the force F1 = 22.7 N The acceleration a = 14.0 m/s2…

Q: horses pull a cart with a total applied force of 1000N. The kinetic friction from the gravel road…

A: Given Mass of cart, M = 200 kg Force applied, F = 1000 N Frictional force, f = 375 N

Q: 1. A car has an initial velocity of 20 m/s and an acceleration of 12 m/s. At what time and distance…

A: Given, The initial speed of the car, u = 20 m/s acceleration, a = 12 m/s2 Final speed of the car, v…

Q: A parallel plate capacitor has plates of area A = 5.50 x 10-² m² separated by distance d = 2.37 x…

Q: a C HH 3.00 με th. |20.0 με HE HH 6.00 με (a) Find the equivalent capacitance between points a and…

A: Given C = 18 micro farad C1 = 3 micro farad C2 = 6 micro farad

Q: In what medicinal applications is the electromagnetic spectrum utilized?

A: The solution for this question has been given below....

Q: 3. You toss a snack to your friend on a hike. Your friend is located 8.6 m up a 39° slope. Determine…

A: Given data: The distance d=8.6 m The angle θ=39°

Q: When doubled the kinetic energy of an object is by 4, the momentum is 16 kg.m/s and when its mass is…

A: We know that the linear momentum is proportional to (kinetic energy)2 So when kinetic energy will…

Q: 25. Before attempting this problem, review Examples 7 and 8. Two curves on a highway have the same…

Q: *81. ssm A woman and her dog are out for a morning run to the river, which is located 4.0 km away.…

Q: Using the component method of getting the resultant of vectors, find the resultant of the following…

Q: What law state that the increase/decrease in potential or kinetic energy will result in a change in…

Q: 1. 2. If u = x²(x² + y²), find ou/0x, du/dy. If st", find as/at, as/Ou.

A: As per guidelines we are supposed to answer only the first three questions from multipart questions…

Q: A 1.4 μF capacitor is charged to a potential difference of 14.0 V. The wires connecting the…

A: capacitance of the first capcitor C1 = 1.4 *10-6 F potential difference V1 = 14 V potential drop V =…

Q: if the period of a pendulum doubles from 2 seconds to 4 seconds how will it affect the frequency of…

A: Given if the period of a pendulum doubles from 2 seconds to 4 seconds

Q: An astronomical unit (AU) is equal to the average distance from Earth to the Sun, about 92.9 × 106…

A: The smaller unit of distance is meter, millimeter, micrometer, nanometer, picometer, etc. The larger…

Q: why is 1 in the numerator?

Q: What wavelength λ should the astrophysicist look for to detect a transition of an electron from the…

Q: If the coordinates of S1 and S2 are (2,2) and (5,-2) respectively, a) Find vectors 1 and 2. u = 1₂ -…

A: Dear student, "Since you have posted a question with multiple sub-parts, we will solve first three…

Q: (a) Determine the current in each branch of the circuit. branch left branch middle branch right…

A: (a) The circuit diagram is shown in below figure, From the circuit diagram, applying Kirchhoff's…

Q: 7) Two masses, pulley, incline: Two blocks of mass M and m are connected by a light rope that passes…

Q: A point is located in a polar coordinate system by the coordinates r = 6.4 m and ? = 18°. Find the…

A: Given data: The radius r=6.4 m The angle θ=18°

Q: A thermos contains m1=0.81kg of tea at T1=26 degrees Celcius. Ice (m2=0.065kg, T2=0 degrees celcius)…

A: Given, mass of the tea, m1 = 0.81 kg temperature, T1 = 26 oC mass of the ice, m2 = 0.065 kg Specific…

Q: 1. Show that that for horizontal projectile motion the initial velocity can be obtained using Ve 4x…

Q: A pendulum is undergoing simple harmonic motion has a maximum displacement of 3.1 m at t = 0.0 s. If…

Q: A projectile is launched from ground level with an initial speed of 41.5 m/s at an angle of 33.5°…

Q: Problem 2 ( A shot-putter is thrown from a height h = 2.1 m above the ground as shown in the figure…

A: Given Initial height, h = 2.1 m Initial speed, U = 13.5 m/s Angle 30 degree from horizontal

Q: Question 30 A car engine with a given weight of w, is suspended in air by a cable that is connected…

A: Forces acting in the direction of x-axis are: a. T2 in negative x-direction. b. T3cos60 along the…

Q: Suppose a spaceship has the mass of a typical ocean cruise ship, then it can be assumed that it has…

A: Here, Desired velocity is 17% of the speed of light. Thus v = 0.17 x 3 x 108 = 5.1 x 107 m/s m = 4.3…

Q: Suppose there are 12000.0 civil actions broadcasting radio signals in the Milky Way Galaxy at the…

A: Given that There are 12000 civil actions broadcasting radio signals in the milky way galaxy at the…

Q: A 13 kg mass object initially has 2500 J of kinetic energy. -1200 J of net work is then done on the…

A: Given: The mass of the object is 13 kg. The initial kinetic energy of the object is 2500 J. The net…

Q: The coil of an electric generator produces a maximum EMF of 55.00V when it is rotated at 330.0 RPM.…

Q: 1. A motorcycle access ramp is inclined at an angle of 0.21 radians climbing a total of 0.69 meters.…

Q: 3. How does the resistance for copper and for silicon change with temperature? Why are the behaviors…

Q: Two 100 resistors are connected a) in series and b) parallel to a 24.0 V battery. What is the…

A: Given data: Two resistors are connected (a) in series and (b) in parallel combination R1 = R2 =…

Q: Using your answer from #2, how far did the cannonball travel in the horizontal direction?

A: Required data: It is given that the projectile is fired at 0 degrees. Which means that the velocity…

Q: What is the RMS speed of CO2 gas at a temperature of 270 C?

Q: (a) How much charge can be placed on a capacitor with air between the plates before it breaks down…

Q: Let a = ci + j and b 16i + 12j. Find c T so that the angle between a and b is Round your answers to…

Q: (ex) Block 1 (mass m₁) sits on block 2 (mass m₂), which sits on a horizontal frictionless surface. A…

Q: A heat pump has a coefficient of performance equal to 4.45 and requires a power of 1.65 kW to…

A: Given that, the coefficient of performance of the heat pump is CoPhp=4.45 And the power required is…

Q: Someone gives a sharp but momentary shove to the blocks, and they begin to slide. Now block A is…

Q: the tee a horizontal distance of 310 m (see photo). The ball leaves the tee at an angle of 45° with…

Q: Two 2.00 kg blocks are connected by a rope. A second rope hangs beneath the lower block. Both…

A: Draw the free-body diagram of the system.

Q: Oppositely directed to v = (1, -14) and half the length of v. W = (?, ?)

Q: It is the ratio of the light transmitted through a body to the amount of light which strikes the…

A: To define is the ratio of the light transmitted through a body to the amount of light which strikes…

Q: 3) (ex) A boy pulls on a block of mass 5.0 kg along a horizontal frictionless floor. The boy pulls…

A: a) List of force acting on the block: F cos20 along positive x direction. Fsin30 along positive y…

Q: What are the expected readings of the following in the figure below? (R = 6.100, AV = 7.00 V) 10.0 Ω…

Q: a. How much energy is required to ionize a hydrogen atom containing an electron in the n=4 level? b.…

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 steel music wire (Gage No. 32 with a diameter of 0.090 in.) is employed to support an axial load F = 198 lbf.
If the wire was initially Lo= 14 ft in length, determine the change in length of the wire and the normal stress
and strain in the wire.
S =
σ=
€a =
Ea
0.172
31.124
0.00102185
in
ksi
? *0%
✓100%
✓ 100%

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

Similar questions

A 100-N weight is attached to a free end of a metallic wire that hangs from the ceiling. When a second 100-N weight is added to the wire, it stretches 3.0 mm. The diameter and the length of the wire are 1.0 mm and2.0 m, respectively. What is Young’s modulus of the metal used to manufacture the wire?
A uniform wire (Y = 2.0 1011 N/m2) is subjected to a longitudinal tensile stress of 4.0 107 N/m2. What is the fractional change in the length of the wire?
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
Assume Youngs modulus for bone is 1.50 1010 N/m2. The bone breaks if stress greater than 1.50 108 N/m2 is imposed on it. (a) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.50 cm? (b) If this much force is applied compressively, by how much does the 25.0-cm-long bone shorten?
Normal forces of magnitude 1.0106N are applied uniformly to a spherical surface enclosing a volume of a liquid. This causes the radius of the surface to decrease from 50.000 cm to 49.995 cm. What is the bulk modulus of the liquid?
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
Alarge uniform cylindrical steel rod of density =7.8g/cm3 is 2.0 m long and has a diameter of 5.0 cm. the rod is fastened to a concrete floor with its long axis vertical.what is the normal stress in the rod at the cross-section located at (a)1.0 mfrom its lower end?(b)1.5 m from the lower end?
A high-speed lifting mechanism supports an 800.-kg object with a steel cable that is 25.0 m long and 4.00 cm2 in cross-sectional area. (a) Determine the elongation of the cable. (b) By what additional amount does the cable increase in length if the object is accelerated upward at a rate of 3.0 m/s2? (c) What is the greatest mass that can be accelerated upward at 3.0 m/s2 if the stress in the fable is not to exceed the elastic limit of the cable, which is 2.2 108 Pa?
Review. On a day that the temperature is 20.0C, a concrete walk is poured in such a way that the ends of the walk are unable to move. Take Youngs modulus for concrete to be 7.00 109 N/m2 and the compressive strength to be 2.00 109 N/m2. (a) What is the stress in the cement on a hot day of 50.0C? (b) Does the concrete fracture?
A disk between vertebrae in the spine is subjected to a shearing force of 600 N. Find its shear deformation, taking it to have the shear modulus of 1109 N /m2. The disk is equivalent to a solid cylinder 0.700 cm high and 4.00 cm in diameter.
An aluminium (=2.7g/cm3) wire is suspended from the ceiling and hangs vertically. How long must the wire be before the stress at its upper end reaches the proportionality limit, which is 8.0107N/m2 ?
A horizontal, rigid bar of negligible weight is fixed against a vertical wall at one end and supported by a vertical string at the other end. The bar has a length of 50.0 cm and is used to support a hanging block of weight 400.0 N from a point 30.0 cm from the wall as shown in Figure P14.81. The string is made from a material with a tensile strength of 1.2 108 N/m2. Determine the largest diameter of the string for which it would still break. FIGURE P14.81