Stress (MPa) 800 Breaking point 600 Elastic limit 400 Elastic behavior 200 Strain 0.002 0.0040.006 0.008 0.01 0.012

Q: What is Hooke’s law for the 1-D system? Choices: The relation between normal stress and the…

A: solution, Hooke’s law is valid up to the proportional limit of a material. here we have 1 D system…

Q: steel cable with a cross-sectional area of 3.00 cm^2 has an elastic limit of 2.40x10^8 Pa. Find the…

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Q: Evaluate Young’s modulus for the material whose stress– strain curve is as shown.

A: Solution: Young’s modulus for the material whose stress– strain curve is as shown has given by,

Q: Stress (MPa) 800 Breaking point 600 Elastic limit 400 200 Eļastic behavior Strain 0.002 0.004 0.006…

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Q: Find the minimum diameter of a (50 m)-long nylon string that will stretch no more than (1 cm) when a…

A: Given : L = 50 m ∆L = 1 cm = 0.01 m m = 70 kg Y = 3.51 x 109 N/m2

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

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Q: A 2 m long steel rod has a cross-sectional area of 0.3 cm?. The rod is a part of a vertical support…

A: The stress of the rod is given by F/A Strain is given by dL/L                    where F= Force…

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 cable is 10.0 m long and has a diameter of 2.00 mm. A force of 45.0 N is applied to the end of the…

A: Length of Cable L=10 m Diameter of the cable d=2.00mm=2*10-3m Force applied to the End of the cable…

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: Ex : What is the spring constant of a human femur under compression the linear limit of the femur…

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Q: A 50-N force is applied to a metal rod with a length of 10 m and a cross- sectional area of 1.0 x…

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Q: A square steel plate is 10.0 cm on a side and 0.500 cm thick. (a) find the shear strain that results…

A: (a) Find the shear strain applied to each of the four sides of the square steel plate.…

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

A: Given length of steel l = 3m diameter d = 25mm = 2.5×10-2 m radius r = 12.5mm = 1.25×10-2 m Force =…

Q: Evaluate Young's modulus for the material whose stress-strain curve is shown in the figure below.…

A: From the figure given stress strain curve, it is clear that the stress of the material corresponding…

Q: A sign (mass 2500 kg ) hangs from the end of a vertical steel girder with a cross-sectional area of…

A: Given: The mass of sign is m=2500 kg, The cross-sectional area is A=0.016 m2, The length of the…

Q: Poisson’s ratio is the ratio of the:  A. unit lateral deformation to the unit longitudinal…

A: The phenomenon in which a material has tendencies to expand in the directions which are…

Q: A 1.60-meter-long steel piano wire has a diameter of 0.200 cm. How great is the tension (in Newtons)…

A: Length of the wire is l = 1.060 m Diameter is 0.2 cm

Q: 1. Rank the following materials based on its rigidity, where 1 is the most rigid and 3 is the least…

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Q: Q4) A force of magnitude F = 62 × 10° N is applied perpendicularly to the steel rod of radius 9.5 mm…

A: Given data The magnitude of the force is F = 62 x 103 N The rod's radius is r = 9.5 mm. The length…

Q: Young's modulus of iron rod is 21 x 1010 N/m². A force of 7.0 × 105 N is applied to a 1.5-m length…

A: Youngs modulus = stressstrain=F/A∆L/L

Q: steel wire 2.0 mm in diameter stretches by 0.029 % when a mass is suspended from it. The elastic…

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Q: If the human bone fractured with stress 120 N/mm 2 then the maximum tension on the bone with an area…

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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: If the deformation produced in 20 mm length rod is 0.085 mm, the strain is equal to: Select one: a.…

A: (d) 0.00425

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

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Q: A copper sphere that is 10 cm in diameter at an atmospheric pressure of 1.01 x 10° N/m² is put into…

A: Given: The diameter of the copper sphere is 10 cm.             The atmospheric pressure is 1.01×105…

Q: Which among the metals below is the most elastic? Rank them from least to most elastic. Why is steel…

A: Tungsten is most elastic metal in the given table.    Ranking in increasing order of elasticity:…

Q: wire is stretched 3 mm by a force of 150 N. Assuming the elastic limit is not exceeded, the force…

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Q: Q1/ if you know that the elastic modules of natural bone is 17Gpa and you have two materials A and B…

A: Given Stress-Strain curve:   From this curve we can extract following information: Maximum stress =…

Q: 40. A body of weight 20 N is suspended from a fixed point O by a light elastic string of natural…

A: The tension produced in the string or spring is directly proportional to the extension as

Q: A wire stretches from 2000 mm to 2005 mm when a 500-N box hangs from one end of it. The wire has a…

A: Original length of wire (L) = 2000 mm = 2 m New length of wire (L') = 2005 mm= 2.005 m Force (F) =…

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: Young's modulus of iron rod is 21 x 1010 N/m?. A force of 7.0 x 105 N is applied to a 1.5-m length…

A: Given data as per question Young modulus = 21*1010 Force  =    7*105  A    =  0.25

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: Problem Solving... A torsion test shows that the shear modulus of an aluminum specimen is 4.60 x…

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Q: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

A: Y=F/A∆L/L∆L=FLAY=4.9×104 N4.0 m9.1×10-3 m2210×109 N/m2=0.10×10-3 m1 mm10-3 m=0.10 mm

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 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: When the material is in the region of the stress-strain curve, the material can go back to its…

A: Answer (C) Elastic, temporarily

Q: A cylindrical specimen of some metal alloy of 8 mm in diameter is stressed elastically in tension. A…

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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: The graph below represents the stress versus strain for a particular material. Stress (MPa) 800…

A: Young's modulus is defined for linear elastic behaviour only as below.

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).