A fishing rope of length (74+ 50) m has the diameter (74 + 5) mm. When a weight of (74 +200) N is hung on the rope, the extension is (74 + 50) mm. Calculate, i. cross-sectional area of the fishing rope ii. strain

A fishing rope of length (74+ 50) m has the diameter (74 + 5) mm. When a weight of (74 +200) N is hung on the rope, the extension is (74 + 50) mm. Calculate, i. cross-sectional area of the fishing rope ii. strain

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 56P: Alarge uniform cylindrical steel rod of density =7.8g/cm3 is 2.0 m long and has a diameter of 5.0...

See similar textbooks

Related questions

Q: 2. A cube with a length of 10cm is made up of Aluminum metal (S = 25x10⁹ Pa). A horizontal shear…

Q: A 463-N object is hung from the end of a wire of cross-sectional area 0.03 cm-. The wire stretches…

Q: A horizontal aluminum rod 3.9 cm in diameter projects 5.5 cm from a wall. A 1100 kg object is…

A: a) Determine the shear stress of the rod.

Q: A 1.6 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.2 x…

A: Yyty

Q: 1A hydraulic press contains 0.25 m' of oil. Find the decrease in the volume of the oil when it is…

Q: SITUATION 3: A vertical brass post is 3.75m long and has a diameter of 25 cm. If the brass post is…

Q: Problem 2 ( )A 200 Kg load is hung on a wire of length 4 m, and a cross- sectional area A=4 10- m2.…

A: Stress. = Force ÷ area. Force =weight of load= mg = 200kg×9.8m/s2 = 196N Force = 196N Area = 4 ×…

Q: IP You use a steel socket wrench 34 cm long to loosen a rusty bolt, applying a force F at the end of…

A: given, length of the steel socket L0=34cm=0.34m deformation of the handle ∆x=0.15mm=1.5*10-4 m

Q: 2. A rock sample 1m long and of 2 mm diameter is stretched by a load of 40 kg. If the modulus of…

A: Dear student The modulus of elasticity is expressed as: Y = Stress/ Strain Here, Stress is given by-…

Q: 1. One end of a steel rod of radius R = 10 mm and length L = 80 cm is held in a vise. A force of…

Q: A sign (mass 1700 kg) hangs from the bottom end of a vertical steel girder with a cross-sectional…

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

A: We are allowed to give the explanation of first question only which is given below. Please repost…

Q: (b) When measuring Young's modulus of a material it is common to use a specimen which is (1) very…

Q: 5. A helical steel spring is composed of 20 turns of 20 mm diameter wire on a mean radius of 80 mm…

Q: Two parallel and opposing forces of each value (4000N) act tangentially on opposite sides of a cube…

A: Given: Force F=4000 N Side length L=25 cm=25×10-2 m Shear modulus S=80 GPa=80×109 Pa

Q: A solid copper cube has an edge length of 86.9 cm. How much stress must be applied to the cube to…

A: Write the given values with the suitable variables. L1=86.9 cmL2=86 cmk=1.4×1011 N/m2 Here, L2, L1,…

Q: A wire made of the same material (Y= 12X10 10 Pa) is cut into two parts, we label it as wire I and…

A: solution is given as

Q: A water balloon's radius is reduced by one fourth due to pressure. What is the pressure on the…

A: Given:- The radius of the water balloons is reduced by one-fourth due to the pressure The bulk…

Q: Determine the strain-stress relations of an isotropic material for a cylindrical coordinate system.

Q: A 542-N object is hung from the end of a wire of cross-sectional area 0.07 cm2. The wire stretches…

A: Applied force, F = 542 N Area of cross section, A = 0.07 cm² = 0.07 × 10-4 m² Original length, L =…

Q: 2. A tall building with a cross-section A, a mass M and a Young's modulus Y has a height L on Earth.…

A: The mass of the building is M Area of cross section is A Young's modulus Y Height of the building is…

Q: Q3 Derive a formula for the deflection due to shear strain in a pressure loaded circular plate…

A: Find the attached solution. With the help of given formula and equations , you can get the answer.

Q: rizontal aluminum rod 3.4 cm in diameter projects 7.0 cm from a wall. A 810 kg object is suspended…

A: Given: d=3.4 cm L=7cm =0.07mm=810 kgG=3.0*1010 N/m2

Q: You apply a force of magnitude F1 to one end of a wire and another force F in the opposite direction…

A: Newton's second law of motion relates the net force acting on the object to the acceleration…

Q: Problem 12: Consider the effect of wires hung on poles in which the left wire made an angle 29°…

Q: A high-speed lifting mechanism supports a 840-kg object with a steel cable that is 31.0 m long and…

Q: 1. A homogeneous 800 kg bar AB is supported at either end by a cable as shown in the figure. Bronze…

Q: D = 0.4 mm diameter and I = 1 m long molybdenum wire is lengthened by force F = 41 N for Al = 1 mm.…

A: Dear student The Young modulus is defined as : Y = Stress / Strain Here, Stress = Force / Area…

Q: A 1.3 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.4 x…

Q: A material with a rectangular cross-section of 5 mm by 10 mm is loaded in tension with a force of 16…

Q: 1. The elasticity of polymers and rubbers is caused by.. 2. For stresses beyond the elastic limit, a…

A: Its a concept of elasticity. As per policy i have answered the 1st three Questions. Please post…

Q: (#1) A metal has a flexural stress of 564 Pa. The width of the metal, w, is measured to be 1 meter,…

Q: 1. 0/1 POINTS PREVIOUS ANSWERS OSCOLPHYS2016 5.3.WA.034. MY NOTES ASK YOUR TEACHER Calculate the…

A: 1. elongation, l = 7.9 mm diameter, d = 0.81 mm length, L = 1.3 m Young's modulus, Y = 210 x 109…

Q: 3. The femur is a bone in the leg whose minimum cross sectional area is about 4.81 x 104 m?. A…

Q: A high-speed lifting mechanism supports a(n) 860-kg object with a steel cable that is 38.0 m long…

A: Given that:- Mass of object=860 kg

Q: A horizontal aluminum rod 3.9 cm in diameter projects 5.5 cm from a wall. A 1200 kg object is…

Q: A volunteer weighing 750 N sits on a bed of 150 closely spaced nails. Each nail has a…

A: Given data: The weight of the volunteer, W=750 N. The number of nails, N=150. The cross-sectional…

Q: A horizontal aluminum rod 3.3 cm in diameter projects 7.2 cm from a wall. A 1000 kg object is…

Q: A hollow member having the cross section shown is formed from steel alloy sheet of 2mm thickness.…

A: Given data The thickness of the sheet is t = 2 mm The shearing stress is τs = 3 MPa The shear…

Q: Part A The data below shows the laboratory data for a fluid obtained using a viscometer at 20°C and…

Q: Example I: Consider a cylindrical specimen of a steel alloy 10 mm in diameter and 75 mm long that in…

Q: Please help! Thank you! Q1) Required info: marble column with a cross-sectional area of 26.1 cm^2…

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

Q: By method of sections, determine the force in member CD, CF, and FG of the Warren truss. Solve for…

A: Draw a free-body diagram of the truss. Apply moment equilibrium about point A. ∑MA=06 kN3 m+8 kN6…

Q: A 1.6 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.3 x…

Q: Stress and strain 3. A brass rod with a length of 1.40 m and a cross- sectional area of 2.00 square…

A: Given that:- Pulling force applied on each end=F=4×10^4N

Q: 2. A polymer wire has cross sectional area of 6 mm² and is elongated by using sixty kilogram of…

A: Given that, Sectional area = 6 mm2 Length = 600 cm Weight = 60 kg The strain is 10 percent of 0.6.…

Q: A cylindrical steel rod is originally 250 cm long and has a diameter of 0.257 cm. A force F is…

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 fishing rope of length (74+ 50) m has the diameter (74 + 5) mm. When a weight of (74 +200) N is hung on the rope, the extension is (74 + 50) mm. Calculate,
i. cross-sectional area of the fishing rope
ii. strain

Expert Solution

Step 1

The cross-sectional area of the rope is given by,

Step by step

Solved in 2 steps with 2 images

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

Two thin rods, one made of steel and the other of aluminium, are joined end to end. Each rod is 2.0m long and has cross-sectional area 9.1mm2 . If a 10,000N tensile force is applied at each end of the combination, find: (a) stress in each rod; (b) strain in each rod; and, (c) elongation of each rod.
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?
Review the relationship between stress and strain. Can you find any similarities between the two quantities?
Two rods, one made of copper and the other of steel, have the same dimensions. If the copper rod stretches by 0.15mm under some stress, how much does the steel rod stretch under the same stress?
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 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
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 ?
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 material is applied by a tensile forces of 132 kN on a bar of the material with a cross- sectional area of 220 mm2, what will be the stress produced in the bar?
% S nolow cylinder s to be punched outof asheet of iuminum, The nner adius s 1cm and outer radius is 2cm and the sheet thickness is 1cm. Find the force required if shear strength of aluminum is m‘rm-’_ (a) 4 x 10°N (620 x 10°N (©6nx 10N (@13mx 10N
What is the indentation diagonal length in in, when a load of 0.60 kg produces a Vickers HV of 400?
A 3m long steel bar whose diameter is 25 mm is compressed by a 25 KN force. If the valueof the modulus of elasticity (E) for steel is 200 GPa, what is the stress developed in the steelbar?