A wire of 0.5 mm cross-section diameter nd 120 cm length is suspended vertically. What is the vertical force required to stretch it on its lower edge so that it becomes 121.2 cm long knowing that the oung's modulus of the wire material is 1.4

A wire of 0.5 mm cross-section diameter nd 120 cm length is suspended vertically. What is the vertical force required to stretch it on its lower edge so that it becomes 121.2 cm long knowing that the oung's modulus of the wire material is 1.4

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 68P: An aluminium (=2.7g/cm3) wire is suspended from the ceiling and hangs vertically. How long must the...

See similar textbooks

Related questions

Q: end of a steel rod of radius R = 10mm and length L= 80 cm is held in a vise. A force of magnitude F…

A: Youngs modulus = mgL/πr²ΔL

Q: We have a rod made of a certain metal. The rod’s length is L = 1.2 m and has a circular cross…

A: Given L = 1.2 m r = 3.2 mm m = 22 kg d = 2.5 mm we have to find out Young’s modulus for this metal.

Q: A shaft having length equal to 10 m and diameter equal to (50 + 21) mm is simply supported at both…

Q: A 3800N load is hung on the end of an 18-m steel wire. What must be its diameter so that the stretch…

Q: A nylon rope used by mountaineers elongates under the weight of a 65.0-kg climber. If the rope is…

A: Given , Weight of climber = 65.0 kg length of rope = 45.0 m Diameter = 8.00…

Q: A steel wire of diameter 1 mm can support a tension of 0.2 kN. Determine the diameter of a steel…

Q: For safety in climbing, a mountaineer uses a nylon rope that is 50. m long and 1.0 cm in diameter.…

Q: A 45 kg boy whose leg bones are 5 cm² in area and 50 cm long falls through a height of 2 m without…

Q: If 1.0 m of concrete weighs 5.0 x 104 N, what is the height of the tallest cylindrical concrete…

A: The compression strength is given by, P=FA Here, F is the force applied and A is the area of…

Q: A 3800N load is hung on the end of an 18-m steel wire. What must be its diameter so that the stretch…

A: Given: The load is 3800 N. The length of the wire is 18 m. The elongation in the wire is 9 mm.…

Q: A 200 kg load is hung on a wire of length 4.00 m, cross-sectional area of 0.200×10^-4 m^2 and…

Q: For safety in climbing, a mountaineer uses a nylon rope that is 65 m long and 1.4 cm in diameter.…

A: In the question given the length of rope , diameter of rope , mass and change in the length and we…

Q: A 29.0 m long aluminum cable with a cross-sectional area of 2.01 x 10- m is used to suspend a 3.20 x…

A: The expression for young’s modulus of the material is, \Y=FAΔLL0ΔL=FL0AY=mgL0AY

Q: A mineshaft has an ore elevator hung from a single braided cable of diameter 2.5 cm. Young’s modulus…

Q: What is the compression in the tibia of length l = 30 cm of a person of mass m = 80 kg when standing…

Q: A 45 kg boy whose leg bones are 5 cm? in area and 50 cm long falls through a height of 2 m without…

A: Given data m=45 kg B. S= 0.9×108 N/m2 A= 5cm2 L=50 cm loss in PE = gain energy Stored in leg bones…

Q: A 50-kg bucket of concrete is suspended from a steel wire that is 1.0 mm in diameter 1.0 mm and 11.2…

Q: The radius of a copper bar is 4 mm. What force is required to stretch the rod by 20% of its length,…

A: The radius of the copper bar, The percentage of elongation or strain, Young’s modulus of…

Q: What is maximum diameter of brass rod if it has to support a 400N load without exceeding its elastic…

A: Let Y be the stress on the brass rod, F be the load, A be the cross-sectional area, and D be the…

Q: What is the force required to a steel wire to double its length when its area of cross-section is…

A: In the question it is given that ,Young's Modulus Y=200GPa=200×106Pa=2×104N/m2length of the wire…

Q: A 90 kg mountain climber stretches her 1.0 cm diameter nylon rope by 1.3 m when she hangs below a…

A: Find the force exerted on the rope. F=mg=90 kg9.8 m/s2=882 N Find the cross sectional area of the…

Q: An 1800-kg elephant is placed on top of an aluminum cylinder, 4.3 meters high. The area of the top…

A: height of cylinder (h) = 4.3 m Surface area (A) = 0.080 m2mass of elephant (m) = 1800 kg Young's…

Q: A solid steel sphere with a radius of 2.0 m falls off a ship and sinks to a depth where the pressure…

Q: If 20 kN load is applied on a cylinder of diameter 20 mm, the stress developed in the cylinder is

A: Force = 20 KN = 20000 N Radius = 10 mm = 0.010 m AREA = πr2 = 3.14 x 0.0102 = 3.14 x 10-4 m2 Stress…

Q: In a structure you need to place a 7.8 m steel wire that does not stretch more than 8.5 cm when a…

Q: A 2.50m long steel piano wire has a diameter of 0.50cm. How great is the tension in the wire if it…

A: Given: Length of piano, L = 2.5 m diameter of wire, d = 0.50 cm radius of wire, r = 0.25 cm =…

Q: A 5-m high aluminum cylinder must support a load of 450 kN. If the maximum allowable stress is 0.14…

A: Given data: The height of cylinder is l=5 m. Load supported P=450 kN. Maximum allowable stress is…

Q: A solid cylindrical bar, of 20 mm diameter and 180 mm long, is welded to a hollow tube of 20 mm…

A: Given data as per question Diameter of solid bar =20 mm Length of solid bar =180 mm Internal…

Q: A metallic cube whose each side is 10 cm is subjected to a shearing force of 100 kgf. The top face…

Q: A 90-kg mountain climber hangs from a nylon rope and stretches it by 25.0 cm. If the rope was…

A: Given data The mass is m=90 kg The change in length is ∆l=25.0 cm The original length is l=30.0 m…

Q: A 480 mm long thighbone (femur), which is the largest and longest bone in the human body, has a…

A: Given that young modulus = 15x 108 N/m2 length of femur = 480 mm =0.480 m cross sectional area =…

Q: A rope 40.0m with a diameter of 2.50cm has a Young’s modulus of 6.50x108Pa. How much will the length…

Q: A 3m long steel bar whose diameter is 25 mm is compressed by a 25 KN force. If the value of the…

A: The stress is defined as the force per unit area.

Q: A 90-kg rock climber attaches a 50-m long,1.0-cm diameter nylon rope to the top of one of the Isle…

A: Given data: Mass of rock climber, m=90 kg Length of nylon rope, l=50 m Radius of rope,…

Q: The elastic limit of brass is 379 MPa. Wha should be the minimum diameter of a bra rod if it is to…

A: GivenMximum stress ,σmax=379 Mpa=379×106 PaLoad ,P=400 N

Q: A steel guitar string with a diameter of 0.300 mm and a length of 70.0 cm is stretched by 0.500 mm…

A: Young's modulus= 2 × 1011 N/m2

Q: A metallic cube of side 125cm is subjected to a uniform force acting normal to the whole surface of…

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: The given data are listed below with appropriate variables. Here, L denotes the sides of a cube, ∆x…

Q: One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

Q: A weight of 125 Newton is attached to a brass wire of 7.5 meters long. Young's modulus for brass is…

A: Given data: Weight of the load P=125N Length of the wire L=7.5m Radius of the wire r=0.7mm Young's…

Q: A plank 2.00 cm thick and 14.7 cm wide is firmly attached to the railing of a ship by clamps so that…

Q: 6. A) A 100-kg load is hung on a wire of length 6.00-m, diameter 2.00-mm, and Young's modulus 8.00 x…

A: Given, mass hung on wire =100 kglength of wire =6.00 mdiameter of wire =2.00 mmso radius of wire…

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 wire of 0.5 mm cross-section diameter
and 120 cm length is suspended vertically.
What is the vertical force required to
stretch it on its lower edge so that it
becomes 121.2 cm long knowing that the
Young's modulus of the wire material is 1.4
* X10^10N/m2

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

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?
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?
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 ?
By how much does a 65.0kg mountain climber stretch her 0.800cm diameter nylon rope when she hangs 35.0m below a rock outcropping? (For nylon, Y=1.35109Pa. )
A 90-kg mountain climber bangs from a nylon rope and stretches it by 25.0 cm. If the rope was originally 30.0 m bog and its diameter is 1.0 cm, is Young’s modulus for the nylon?
Can compress stress be applied to a rubber band?
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
A suspender rod of a suspension bridge is 25.0 m long. If the rod is made of steel, what must its diameter be so that it does not stretch more than 1.0 cm when a 2.5104kg tuck passes by it? Assume that the rod supports all of the weight of the truck.
Review the relationship between stress and strain. Can you find any similarities between the two quantities?
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?
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