A wire 12m long has a cross-sectional area 1.25 x 10-6m2. It is subjected to a load of 5.5kg. If Young’s modulus of the material is 5x1011N m-2, calculate the elongation produced in the wire.Take g = 10 ms-2.

Q: A steel wire of length 4.7 m and cross-sectional area 3.0 × 10-5 m2stretches by the same amount as a…

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Q: 29. A steel wire of length 2.0 m and diameter 1.01 mm is fixed at its upper end and its lower end…

A: The given data are: L=2 md=1.01 mm=1.01×10-3 mm=400 g=0.4 kgE=2×1011 Pa Here, L denotes the length,…

Q: An object with a mass equal to 300 kg is hung on a wire of length 5.00 m and cross-sectional area of…

A: Write the given values with suitable variables. m=300 kgL=5 mA=0.25×10-4 m2E=8×1010 N Here, m is the…

Q: A copper wire of length 6.1 m, cross sectional area 1.7 7 * 10^-6 * m^2 Young's modulus 11 * 10^10…

A: Given data: Length (L) = 6.1 m Cross-sectional area (A) = 1.77×10-6 m2 Young's modulus (Y) = 11×1010…

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: Assume a hand has a 1.4m shaft of bone with an average cross-sectional area of 3 [cm] ^2. What is…

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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: The steel rod with a diameter 15 mm is applied by a load of 15KN due to the load the diameter of 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: A 195-kg load is hung on a wire of length of 4,30 m, cross-sectional area 2.00 x 10 5 m2, and…

A: Givenm=195 kgL=4.3 mA=2×10-5 m2Y=8×1010 N/m2

Q: Calculate the strain of a brass rod of length 250 mm which is subjected to a tensile load of 50 kN…

A: Length , L = 250 mm Elongation , ∆L = 0.2 mm Load , F = 50 kN To find = Strain

Q: A copper wire of length 8.7 m , cross sectional area 1.3 x 10-6m2and Young’s modulus 11 x 1010 N/m2…

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Q: A wire of uniform cross sectional area of 0.25 mm2 is stretched at both ends by a total force of 65…

A: Given data The cross-sectional area is given as Ac = 0.25 mm2. The total force at both ends is…

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: An object weighs 4.5 x 105 N is supported by steel cable, with cross-sectional area of 6.0 cm 2, the…

A: Given: The weight of the object is 4.5x105 N. The cross-sectional area is 6 cm2. Young's modulus of…

Q: A 215-kg load is hung on a wire of length of 3.30 m, cross-sectional area 2.000*10-5 m2, and Young's…

A: Given data: Mass (m) =215-kg Length (L) = 3.30 m cross-sectional area (A) =2.000*10-5 m2 Young's…

Q: 20. A 20-m long steel wire (cross-section 1.0 cm2, Young's modulus 2.0 x 10I N/m²), is subjected to…

A: Given that Original length of wire L = 20 m Cross section area A = 1 cm2 = 1 X 10-4 m2 Young's…

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 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 brass wire with Young's modulus of 92.0 GPa is 2.36 m long and has a cross-sectional area of 5.00…

A: Answer:-  Given  Young modulus of elasticity (Y) = 92.0 Gpa = 92 × 109 Pascal  Original length (L) =…

Q: Calculate the percentage increase in length of a wire of diameter 2.5mm stretched by a force of 100…

A: The expression for the young’s modulus is

Q: Poisson’s ratio for lead is 0.41. What change in volume takes place when a cube of lead of volume…

A: The given values are, σ=0.41V=1.0 dm3=1.0 dm30.1 m1 dm3=1.0×10-3 m3∆LL=2.0%=2.0100=0.02

Q: A copper wire of length 7.9 m , cross sectional area 2 x 10-m²and Young's modulus 11 x 1010 N/m² has…

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Q: When a beam 6m. long with a cross sectional area 0f 19.4 square meters is subjected to a…

A: Young’s modulus (Y) = stress/strain = (F/A)/(ΔL/ L0). Where, F is the force exerted on an object…

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: 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: The pressure increases by 1.0 x 104 N/m2 for every meter of depth beneath the surface of the ocean.…

A: Given: The increase in pressure is 1.0×104 N/m2 per meter. The bulk modulus of Pyrex is 2.6×1010…

Q: A cube with edges exactly 2 cm long is made of material with a bulk modulus of 3.5 x 10 9 N/m 2.…

A: The Bulk Modulus of a system is given as

Q: If the compressive load on the intervertebral disk of a person weighing 800 N is equivalent 34.4% of…

A: The given data are: F=800 Nf=0.34A=25 cm2 Here, F denotes the force, f denotes the fraction of…

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 shear force of 2300 N is applied on a cube of side length 0.50 m, causing it to deform through an…

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Q: An oil specimen has an initial volume of 597 cm³ and is subjected to 3.6 MPa pressure increase. The…

A: Initial volume V=597 cm3 Rise in volume △V=0.35 cm3 Rise in pressure △P=3.6 MPa=3.6×106 Pa To find:…

Q: If the principal stresses on a material with a yield stress in shear of 200 MPa are 02 = 175 MPa and…

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Q: Suppose that an object was formed using 7.25 x 10° Pa. When it was released from the press and…

A: Given  :     Pressure, P1 = 7.25*108 Pa     Pressure, P2 = 1.01*105 Pa       Change in Pressure, ∆P…

Q: Find the modulus of elasticity of a brass rod of cross section 20 mm x 20 mm, and length 248 mm…

A: Tensile load(T)= 50 KN Elongation (e)= 0.25 mm = 2.5× 10-⁴ m Length of the rod(L)= 248 mm= 0.248 m…

Q: A solid body of mass 200kg hanging from a steel. Wire 5m long, and cross section 0.08 cm^2. The wire…

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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 10Kg mass is attached to one end of a copper wire 3m long and 1mm in diameter. Calculate the…

A: Let F be the force on the wire, D be its diameter, Y be the Young’s modulus.Write the expression for…

Q: A bar of an advanced alloy having an elastic modulus of 107 GPa and an original diameter of 3.8 mm…

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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 shearing force of 75 N is applied to an aluminum rod with a length of 10 m, a cross-sectional area…

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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: Given: The length of the wire is 3 m. The diameter of the wire is 1 mm. The tenson in the wire is 5…

Q: A solid copper cube has an edge length of 85.3 cm. Ho w much st The bulk modulus of copper is 1.4x…

A: givenLi=85.3 cmLf=85 cmK=1.4×1011 N/m2

Q: An object with a mass equal to 300 kg is hung on a wire of length 5.00 m and cross-sectional area of…

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

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Q: A 785 kg load is hung on a wire of length 8 m, cross-sectional area 0,200 x 104 m, and Young's…

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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).