Your client asks you to construct an accent for his house. You use an iron wire, 0.75m long and 2.75x10^-3 cm^2 in cross – sectional area, and hang a brass cube of mass 8 kg on one end. On the bottom of the brass cube, you attach a similar iron wire and hang another brass cube of mass 7.5 kg. If Young’s Modulus of Elasticity for iron is 21x10^10 Pa and that the weight of the iron wires is neglected. For the wire above, determine: (a) tensile stress, (b) the tensile strain, and (c) the elongation

Q: A hanging wire made of an alloy of iron with diameter 0.09 cm is initially 2.2 m long. When a 66 kg…

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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: A square plate is 2.1 × 102 m thick, measures 4.5 × 10-2 m on a side, and has a mass of 7.2 × 102…

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Q: An 80-cm-long, 1.0-mm-diameter steel guitar string must be tightened to a tension of 2.0 × 103 N by…

A: Given dataThe length of the string is given as L = 80 cm.The diameter of the string is given as d =…

Q: Only question 1.18

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Q: On a forest trail a 4m long birch tree trunk is laid across a ravine as a bridge. The trunk is 4m…

A: Given that, The length of the trunk = 4 mThe diameter of the trunk = 20 cmThe Young's modulus of…

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: A load with a weight of 125.0Newtons is attached to a brass wire with a length of 7.5 meters.…

A: GIVEN   F=125N l= 7.5 m Y=8.96 X 10^11 Pa r=0.7 X  10^3 m

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: 1 D=2 cm diameter and l = 2 m long copper rod is lengthened by force F = 350 N for Al = 0.2 mm.…

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Q: A 92.1-kg man’s thighbone has a relaxed length of 0.762 m, a cross-sectional area of 7.00 × 10−4 m2,…

A: The objective of this question is to find out how much the thighbone of a man compresses when he is…

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: A hanging wire made of an alloy of titanium with diameter 0.45cm is initially 10m long. When a 50kg…

A: The Young's modulus is defined as the ratio of the longitudinal stress to the longitudinal strain.…

Q: A 0.600-mm diameter wire stretches 0.500% of its length when it is stretched with a tension of 20.0…

A:

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 metal wire 1.3 mm in diameter and 2.5 m long hangs vertically with a 5.1-kg object suspended from…

A: Young's modulus is a measure of the ability of a material to withstand changes in length when under…

Q: Polymer in the form of a cylinder with a length of 100 mm and a diameter of 5 mm. If a load is…

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Q: 3. Compute the modulus of elasticity of a copper alloy wire that stretches 14 mm when subjected to a…

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Q: An 1800-kg elephant is placed on top of an aluminum cylinder, 4.3 meters high. The area of the top…

A: height of cylinder (h) = 4.3 m Surface area (A) = 0.080 m2mass of elephant (m) = 1800 kg Young's…

Q: A large 75-kg lighting fixture can be hung from wires of identical size and shape made of aluminum,…

A: Given: The mass is 75 kg. The Young's modulus of aluminum is 0.70x1011 Pa. The Young's modulus of…

Q: A 1.8 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.0 x…

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Q: A 13.2 kg child jumps up and grabs a (round) horizontal tree branch that has a diameter of 5 cm. The…

A: GivenMass of child m=13.2 kgDiameter of tree branch d =5 cm=0.05 mLengh of Branch iinitialy from…

Q: 77-kg water skier is being pulled by a nylon (Young's modulus 3.7 × 10° N/m2) tow rope that is…

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Q: Problem 4: Suppose a piano tuner stretches a steel piano wire 5.5 mm. The wire was originally 0.95…

A:

Q: 16 Half portion of a spherical capacitor is filled with a dielectric of dielectric constant k = 2…

A: Given: Dielectric constant, k= 2 To find: value of x ( time taken for leaking of charge)

Q: A wire of length “Lo” and cross-sectional area S supports a weight W vertically. a) This fine wire…

A: Given dataA wire of length Locross-sectional area Sa weight W vertically. Step 1:From Hooke's Law,…

Q: A 1.2 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.4 x…

A:

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: Suppose that we have two hanging rods of the same length 2.8 m. However, their cross sections are a…

A: Given data: Radius of the cross-section (r) = 3.5 mm Side of the square cross-section (a) = 2*3.5…

Q: Consider a titanium rod with a radius of 1.5 cm, an elastic modulus of 107 GPa and a Poisson's ratio…

A: Given:  Radius  of the wire r = 1.5 cm Elastic modulus, E = 107 GPa Poisson ratio, ν = 0.34 Load, P=…

Q: A farmer making grape juice fills a glass bottle to the brim and caps it tightly. The juice is…

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Q: A homogeneous bar, of mass m = 100kg, is suspended from three symmetrically located vertical wires…

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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: Ropes for rock climbing have a diameter of 10.5 mm and a Young's modulus of 8.72x107 N/m². If a rock…

A: A material's ability to withstand length changes under longitudinal tension or compression is…

Q: A 1.2 x 10-³-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.4 x…

A:

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:

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).