A copper wire of length 2.0 m, cross sectional area 7.1 × 10−6 m2 and Young's modulus 11 × 1010 N/m2 has a 200-kg load hung on it. What is its increase in length? (g = 9.8 m/s2)a. 0.50 mmb. 1.0 mmc. 2.5 mm d. 5.0 mm

Q: A solid copper cube has an edge length of 89.6 cm. How much stress must be applied to the cube to…

A: Write the given values with the suitable variables. Li=89.6 cmLf=89 cmk=1.4×1011 N/m2 Here, Li, Lf,…

Q: 4. A silicon nitride reinforced copper composite contains 30% by volume of fibres. The properties of…

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Q: A metal rod is 4.00m long and has a cross-sectional area of 0.50cm^2. It stretches 0.20cm under a…

A: Given data:  Original Length (L) = 4.00 m Cross section area (A) = 0.50 cm2 = 0.50×10-4 m2 Stretch…

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

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Q: What hanging mass will stretch a 2.0-mm-long, 0.59-mmmm-diameter steel wire by 1.2 mmmm ? The…

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Q: 1. A steel wire of length 4.7 m and cross section 3.0 x 10 m2 stretches by the same amount as a…

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Q: Calculate the shear modulus (G) for a cylindrical steel specimen. Assuming the elastic modulus is…

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Q: By what percentage does the density of water increase at a depth of 1.72 km below the surface? Bulk…

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Q: A solid copper cube has an edge length of 88.3 cm. How much stress must be applied to the cube to…

A: Original length (L) = 88.3 cm New length (L') = 88 cm

Q: A copper wire of length 4.4 m, cross sectional area 2.8 x 10 m and Young's modulus 11 x 10-0 N/m2…

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Q: A copper wire of length 7.9 m, cross sectional area 2 x 10 m²and Young's modulus 11 x 1010 N/m has a…

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Q: A solid copper cube has an edge length of 89.6 cm. How much stress must be applied to the cube to…

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Q: A solid copper cube has an edge length of 89.3 cm. How much stress must be applied to the cube to…

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

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Q: 1. A piece of 180mm long by 30mm square is in compression under a load of 90kN as shown in the…

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Q: Human bones have a Young's modulus of 1.5 x 1010 Pa. The bone breaks if stress exceeds 1.5 x 10° Pa.…

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Q: B47 A submerged wreck is lifted trom a dock basin by means of a crane to which is attached a steel…

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Q: A solid copper cube has an edge length of 82.4 cm. How much stress must be applied to the cube to…

A: Write the given values with the suitable variables. L1=82.4 cm=0.824 mL2=82 cm=0.82 mK=1.4×1011 N/m2…

Q: A 686 kg load is hung on a wire of length 9 m, cross-sectional area 0.200 x 10 m, and Young's…

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Q: A steel wire 2.5 mm in diameter stretches by 0.038 % when a mass is suspended from it. The elastic…

A: streched wire, ∆x=0.038% of l0 ∆x=0.038100=3.8*10-4  l0

Q: A 1.05-m-long rod of negligible weight is supported at its ends by wires A and B of equal length…

A: Solution:a.Stress in the wire will be given as:   Stress= Fa  Thus we get:  F1a1 = F2a2…

Q: Young's modulus of steel is 1.9 x 10" N/m2.What is the value of the Young's modulus if expressed in…

A: Given data :- Young's modulus of steel in S.I unit is given as                      Y = 1.9 × 1011…

Q: A 210-kg load is hung on a wire of length of 3.30 m, cross-sectional area 2.00 x 10-5 m2, and…

A: mass of load (m) =210 kg initial length of Wire (L0) = 3.3 m Cross sectional area of Wire (A) = 2.0…

Q: A solid copper cube has an edge length of 81.6 cm. How much stress must be applied to the cube to…

A: Given: L=81.6 cmL'=81.0 cmB=1.4*1011 N/m2

Q: A solid copper cube has an edge length of 85.9 cm. How much stress must be applied to the cube to…

A: Given: length of cube l = 85.9 cmfinal length =86cmchange in length ∆l = 86-85.9 = 0.1 cmBulk…

Q: 2. A rubber band 20 cm long has a cross-sectional area of 4 mm?. What load will stretch the rubber…

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Q: A copper wire of length 3 m and 1 mm diameter is subjected to a tension of 5 N. Calculate the…

A: Length = 3 m diameter = 1mm radius = 0.5 mm tension = 5 N Young's modulus of copper = 11×1010 Pa

Q: B43 (a) For moderate loads, most metals are elastic. What is meant by the term clastic? (b) The…

A: Part (a) When a load is applied on a metal upto a certain limit, then after removing the load, it…

Q: A wire that is 1.0 mm in diameter and 3.5 m long stretches 3.5 mm when an 8.0-kg tool is hung from…

A: Given data diameter of wire d = 1.0 mm  Radius of wire r = 0.5 mm = 0.5 x 10-3 m Cross section area…

Q: 20. A 20 cm cylindrical brass rod with diameter 6 cm is held vertically on its one circular flat…

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Q: For a brass alloy, the stress at which plastic deformation begins is 350 MPa, and the modulus of…

A: Solution: Given that Plastic strentgh = 350 MPa E = 103 GPa

Q: A solid copper cube has an edge length of 88.3 cm. How much stress must be applied to the cube to…

A: Initial length of edge of cube , l1 = 88.3 cm Final length of edge of cube, l2 = 88 cm Bulk modulus,…

Q: For a bronze alloy, the stress at which plastic deformation begins is 295 MPa and the modulus of…

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Q: 1. A polycrystalline cylindrical rod 120 mm long and having a diameter of 10 mm is to be deformed…

A: Given data: The  length of rod is l=120 mm. The diameter of rod is d=10 mm. Tensile force in rod is…

Q: A 469 kg load is hung on a wire of length 6 m, cross- sectional area 0.200 x 10¬ 4 m², and Young's…

A: Given : m = 469 kg L = 6 m A = 0.200 × 10-4 m2 Y = 8 × 1010 N/m2

Q: A 195-kg load is hung on a wire of length of 3.40 m, cross-sectional area 2.00 x 10 5 m2, and…

A: Mass hung =195kg Length of wire =3.4m Cross section =2×10-5 m2 Young's moduls = 8×1010 N/m2

Q: 03: A wire 10m long of cross section area 1.22 cm' olongatos by 1.5 cm when 4.5 kg is suspended from…

A: Given data: The length of wire is l=10 m. Area of cross-section is A=1.22 cm2. Mass suspended is…

Q: A small steel cube (side length 2.54 cm) is being tested by subjecting it to compressive forces of…

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Q: A solid copper cube has an edge length of 81.9 cm. How much stress must be applied to the cube to…

A: Given  Initial length l1 = 81.9 cm = 0.819 m  Final length l2  = 81 cm = 0.81 m  Bulk modulus B =…

Q: A 1.0 x 10-3 kg spider is hanging vertically by a thread that has a Young’s modulus of 4.5 x 109 N/m…

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Q: A 439 kg load is hung on a wire of length 9 m, cross-sectional area 0.200 x 10–4 m2, and Young's…

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Q: A force of 5000 N is applied outwardly to each end of a 5.0-m long rod with a radius of 34.0 cm and…

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Q: A solid copper cube has an edge length of 89.6 cm. How much stress must be applied to the cube to…

A: The stress that must be applied to the cube is 2.726 x 109 N/m2

Q: Four metal rods with equal cross-sectional areas were subjected to a tensile test. Given Young's…

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Q: A small steel cube (side length 2.54 cm) is being tested by subjecting it to compressive forces of…

A: Given data:  Side length (L) = 2.54 cm = 2.54 × 10-2 m Force (F) = 5.00 MN = 5.00 × 106 N Young's…

Q: A solid copper cube has an edge length of 89.5 cm. How much stress must be applied to the cube to…

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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).