A 5.0m long steel wire has a cross-sectional area of 0.55cm2 . Its proportional limit has a value of 0.0018 times its Young’s modulus. Its breaking stress has a value of 0.0065 times its Young’s modulus. The wire is fastened at its upper end and hangs vertically. (a) How great a weight can be hung from the wire without exceeding the proportional limit? (b) How much will the wire stretch under this load? (c) What is the maximum weight that the wire can support?

Q: The elevator in a vertical mine shaft is supported by a steel cable of cross-sectional area 3.20 x…

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Q: A large uniform cylindrical steel rod of density ρ = 7.8 g/cm3 is 2.0 m long and has a diameter of…

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

A: Youngs modulus=FL/AΔL

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: A steel wire of diameter 1 mm can support a tension of 0.2 kN. Determine the diameter of a steel…

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Q: The base of a metal block, which is fixed in place, measures 90 cm by 90 cm, and the height of the…

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Q: What is the pressure required to reduce the volume of a brass block by 10%?[Given the Bulk Modulus…

A: To solve the question we will use the formula: Bulk modulus, k=PdVV

Q: A 200 kg load is hung on a wire of length 4.00 m, cross-sectional area of 0.200×10^-4 m^2 and…

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Q: A 29.0 m long aluminum cable with a cross-sectional area of 2.01 x 10- m is used to suspend a 3.20 x…

A: The expression for young’s modulus of the material is, \Y=FAΔLL0ΔL=FL0AY=mgL0AY

Q: The bulk modulus of a material is 1.0 × 1011 N/m2. What fractional change in volume does a piece of…

A: Given Data: The bulk modulus is, β=1.0×1011 N/m2 The increase in bulk stress is, Δp=107 N/m2   The…

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 horizontal aluminum rod 4.8 cm in diameter projects 5.3 cm from a wall.A 1200 kg object is…

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Q: Is thrée times larger than in steel shaft. QI1) For the section shown aside, if the bending stress…

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

A: Solution:-

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: Suppose a person’s femoral diaphysis is idealized as a circular cylinder with a periosteal diameter…

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Q: a diver stands (80kg) at the end of a diving board, causing the board to dip 10cm. The board has a…

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Q: The cross-sectional area of each member of the truss is 42 cm². L. B 6m 100 kN 300 kN Determine the…

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

A: Shear modulus of the material is, η=FLAx=FLL2x=FLx

Q: 2. A 4.0 m long copper wire of cross-sectional area 2 2 cm is stretched by a force of 4.8 x 10° N.…

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Q: A horizontal aluminum rod 3.0 cm in diameter projects 3.9 cm from a wall. A 870 kg object is…

A: Given:- Diamtere of the rod = 3.0 cm  The radius of the rod is = 3/2=1.5 cm =1.5 X 10-2 m Length of…

Q: A steel wire of length 2.10 m with circular cross section must stretch no more than 0.300 cm when a…

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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: A 28.0 m long aluminum cable with a cross-sectional area of 2.01 ✕ 10−3 m2 is used to suspend a 3.40…

A: Y=mg/A∆L/L   =mgLA∆L∆L=mgLYA

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 23.0 m long steel cable with a cross-sectional area of 2.06 10-3 m2 is used to suspend a 3.80 x…

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Q: A piano wire 0.82 m long and 0.93 mm in diameter is fixedon one end. The other end is wrapped around…

A: The expression for the cross-sectional area is A=π4d2=π40.93 mm×1 m1000 mm2=6.7929×10-7 m2 When the…

Q: A metallic cube whose each side is 10 cm is subjected to a shearing force of 100 kgf. The top face…

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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 480 mm long thighbone (femur), which is the largest and longest bone in the human body, has a…

A: Given that  young modulus = 15x 108 N/m2 length of femur = 480 mm =0.480 m cross sectional area =…

Q: If the solid shaft is made from red brass C83400 having allowable shear stress of tallow = 4 ksi,…

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

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Q: A rope 40.0m with a diameter of 2.50cm has a Young’s modulus of 6.50x108Pa. How much will the length…

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Q: The five-bolt connection shown in the figure must support an applied load of P = 270 kN. If the…

A: Stress is defined as the force experienced by the object in unit area which causes change or…

Q: A 22.0 m long aluminum cable with a cross-sectional area of 2.01 ✕ 10−3 m2 is used to suspend a 3.80…

A: Given data:  Length (L) = 22.0 m Cross sectional area (A) = 2.01 × 10-3 m2 Mass (m) = 3.80 × 103 kg…

Q: A marble column of cross-sectional area 0.80 m2 supports a mass of 18000 kg. The elastic modulus for…

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

A: shear modulus is given by, G =FlA∆xwhere, F=force acting on the body =2×106 dynes = 20 Nl =initial…

Q: A body of mass 500 kg is suspended at the free end of an iron wire of length 3 m and cross-sectional…

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Q: A man with a mass of 75.2 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm^2…

A: Given data: mass (m) = 75.2 kg cross-sectional area (A) = 8 cm2 uncompressed length (L) = 50.5 cm…

Q: A vertical steel girder with a crosssectional area of 0.15 m2 has a 1550 kg sign hanging from its…

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Q: 6. A steel beam is placed vertically in the basement of a building to keep the floor above from…

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Q: A plank 2.00 cm thick and 14.7 cm wide is firmly attached to the railing of a ship by clamps so that…

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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).