Find the minimum diameter of a (50 m)- long nylon string that will stretch no more than (1 cm) when a load of (70 kg) is suspended from its lower end. Assume that .the Young modulus equals to 3.51*10° N/m²

Q: By what amount does the nylon stretch?

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Q: A steel cube of side length L = 0.5 m is subjected to a shearing force of 5000 N along the top…

A: Length=0.5m Shear force=5000N Shear constant=8.3×10^10N/m2 Shearing angle=?

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

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Q: A man with a mass of 71.6 kg stands on one foot. His femur has a cross-sectional arca of 8.00 cm2…

A: Given : Mass of man = 71.6 kg Cross-sectional area of femur = 8.00 cm2= 8.00*10-4 m2 Uncompressed…

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

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Q: 200 150 100 -- Material X 50 Material Y • Muterial Z 0.000 0.005 0.010 0015 0.020 0.025 Strain (e)…

A: young's modulus of material y=stressstrainy=(150-15)MPa0.02-0.001y =1350.019y = 7105.26 MPa7105.26

Q: In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is…

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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 cylindrical aluminum rod, with an initial length of 0.8769 m and radius 996.0 µm, is clamped in…

A: Given initial length of cylindrical aluminum rod Li = 0.8769 m initial radius of cylindrical…

Q: A metal wire 1.0 mm in diameter and 2.0 m long hangs vertically with a 6 kg mass suspended from it.…

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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 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: You have a 15 cm^3 block of copper that you wish to make into a cylindrical wire. If the Young's…

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Q: A tangential force of 0.004 KN affected the upper surface of a rectangle 5 mm high, 3 cm long and 5…

A: Given Dimensions, l=3 cm= 3×10-2mw=5 cm=5×10-2mh=5mm=5×10-3m Tangential force, F=0.004 KN= 4N…

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

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

Q: A 200-kg load is hung on a wire of length 4.00 m, cross-sectional area 0.200 x 10-4 m2, and Young's…

A: Given Data: Mass,   Wire length,   Cross-sectional area,   Young’s modulus,   Standard Data Used:…

Q: A 0.900 m-long metal wire has a circular cross section of diameter 0.950 mm. One end of the wire is…

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Q: A 73 m length with a radius of 2.3 m of a cylinder supports a 9.5 x 10 5 kg mass which presses down…

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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 cylindrical specimen of a titanium alloy having an elastic modulus of 108 GPa and an original…

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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…

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Q: A 10.2 m long wire with a cross-sectional area of 0.126 cm2 stretches by 0.196 cm when a tensile…

A: The given values are, L=10.2 mA=0.126 cm2=0.126×10-4 m2∆L=0.196 cm=0.196×10-2 mF=6250 N

Q: A steel rod with cross-sectional area 1.00 × 10^(−5) m^2 is fixed on one end and pulled by Superman…

A: Given, cross-sectional area A = 1.00 × 10^(−5) m^2 Force F = 5.00 × 10^3 N Youngs modulus = Y = 2.00…

Q: solid copper cube has an edge length of 81.3 cm. How much stress must be applied to the cube to…

A: Given  Initial length l1 = 81.3 cm = 0.813 m  Final length l2  = 81 cm = 0.81 m  Bulk modulus B =…

Q: A weight of (50kg) affects the lower end of a steel rod of length (80cm) and diameter (0.60cm). What…

A: Given: The mass of the weight is 50 kg. The length of the rod is 80 cm. The diameter of the rod is…

Q: A 200-kg load is hung on a wire having a length of 4.00 m, cross-sectional area 0.200 x 10-4 m2, and…

A: Load = 200 kg Length of wire (L) = 4 m Weight of load = 200×9.8= 1960 NArea = 2×10-5 m2Young's…

Q: Nylon breaks when the tensile stress within it reaches 1.0 x 10 ’ Pa. Which range below includes the…

A: Given data: The stress in thread is σ=1×109 Pa. The diameter of thread is d=1.00 mm.

Q: A steel wire of length 1.97 m with circular cross section must stretch no more than 0.240 cm when a…

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

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Q: A mass of 100 gram is attached to the end of a rubber string 49 cm. long and having an area of cross…

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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:

Q: A man with a mass of 71.6 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

A: Given: The mass of the man: m = 71.6 kg; The cross-sectional area of his femur: A = 8.00 cm2 = 8.00…

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…

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Q: What is the poisson's ratio if the ratio of the shear modulus to the young's modulus is 0.4? a. 0.5…

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Q: steel wire of length 1.93 m with a circular cross-section must stretch no more than 0.240 cm when a…

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

Q: A 10.2 m long wire with a cross-sectional area of 0.126 cm? stretches by 0.196 cm when a tensile…

A: The young's modulus of the material is a fundamental property that depends upon the temperature and…

Q: A 195-kg load is hung on a wire of length of 3.80 m, cross-sectional area 2.00  10-5 m2, and Young's…

A: According to stress by strain relation , stress is defined as the product of Young's modulus to the…

Q: an (1 cm) when a load of (70 kg) is suspended from its lower end. Assume that the Young modulus…

A: we know that    γ = F/A△L/L L=50 m  A= πR2  △L= 1X10-2 m     γ= 3.51x 109 n/m2 let R=r min…

Q: A man with a mass of 68.3 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

A: Given:The mass of man, m = 68.3 kgThe area of femur, A = 8 cm2 = 8×10-4 m2The length which is…

Q: A copper wire of length 4.4 m , cross sectional area 2.8 x 10--m²and Young's modulus 11 x 1010 N/m²…

A: Given: A copper wire of length , L=4.4 m , Cross sectional area, A= 2.8 x 10-6 m Young's modulus, E…

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

A: Force applied, F = 7x105 N Length of iron rod, l = 1.5 m Cross sectional area of iron, a = 0.25 m2…

Q: The face of an aluminum plate, which is fixed in place, measures 90 cm by 90 cm. The thickness of…

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Q: Find the elongation of a steel rod of 100 mm long when it is subjected to a tensile strain of 0.004?…

A: (b) 0.4 mm

Q: A solid copper cube has an edge length of 88.3 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).