A structural steel rod has a radius of 10mm and length of 1.0m. A 100kN force stretches it along its length. Calculate (a) stress (b) elongation Young's modulus of structural steel is 2.0*10 11N/m2.

Q: The Young’s modulus for steel is at most 215 GPa (1 GPa= 109 N/m2).  If you apply a force of 50.0…

A: Given quantities: Young's modulus of steel (Y) = 215 GPa Applied force (F) = 50 GPa initial length…

Q: Humans can bite with a force of approximately 798 N. If a human tooth has the Young's modulus of…

A: Given:- a cross-sectional area A = 1.2 cm2                          length L = 1.5 cm…

Q: Humans can bite with a force of approximately 809 N. If a human tooth has the Young's modulus of…

A: The Young's modulus of bone is 18×109 Pa. the change in length is, ∆l=FlAY

Q: An extremely expensive piece of spider silk is 2.5 m long and 0.5 mm in diameter is anchored to the…

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Q: What is the compressive stress F/A on a woman's feet, in units of kilopascals (kPa) , if the woman's…

A: Given Data: The mass of a woman is, m=52.0 kg The area of each shoe is, A=185.0 cm2   The effective…

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

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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 tensile stress is to be applied along the long axis of a cylindrical brass rod that has a diameter…

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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 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 0.4M pipe under compressional stress changes length by 0.05 m.What strain in the pipe ?

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Humans can bite with a force of approximately 793 N. If a human tooth has the Young's modulus of…

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

Q: What is maximum diameter of brass rod if it has to support a 400N load without exceeding its elastic…

A: Let Y be the stress on the brass rod, F be the load, A be the cross-sectional area, and D be the…

Q: To stretch a relaxed biceps muscle 2.5 cm requires a force of 25N. Find the Young’s modulus for the…

A: Force, F = 25 N  stretched length, l = 2.5 cm  length, L = 0.24 m  area, A = 47 cm2

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: Young's modulus of steel is 1.9 x 10" N/m2.What is the value of the Young's modulus if expressed in…

A: Given data :- Young's modulus of steel in S.I unit is given as                      Y = 1.9 × 1011…

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: A 90 kg mountain climber stretches her 1.0 cm diameter nylon rope by 1.3 m when she hangs below a…

A: Find the force exerted on the rope. F=mg=90 kg9.8 m/s2=882 N Find the cross sectional area of the…

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: A metal wire 75.0 cm long and 0.130 cm in diameter stretches 0.0350 cm when a load of 8.00 kg is…

A: Given: Wire length, L=75 cm=0.75 m Wire diameter, D=0.13 cm=0.0013 m Elongation, ∆L=0.035 cm=0.00035…

Q: In normal motion, the load exerted on the hip joint is 2.5 times body weight. (a) Calculate the…

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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: The young modulus of a material whose elastic strain and stress are 1.53 and 169.42 N/m²…

A: The elastic strain, strain=1.53   The stress, stress=169.42 N/m2

Q: A copper wire of length 3 m and 1 mm diameter is subjected to a tension of 5 N. Calculate the…

A: Length = 3 m diameter = 1mm radius = 0.5 mm tension = 5 N Young's modulus of copper = 11×1010 Pa

Q: A wire of circular cross-section, has a tensile force of 60.0 N applied to it and this force…

A: Here, σ=FAA=Fσ=60.0N3.06×106 Pa=19.61×10-6 m2=19.61 mm2

Q: A piece of steel wire, 200.0 cm long and having e cross-sectional area of 0.50 mm2, is stretched by…

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Q: When a certain liquid freezes, it expands about 10.0%. What would be the pressure increase inside an…

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Q: The young's modulus of a material whose elastic strain and stress are 0.41 and 355.53 N/m?…

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Q: Humans can bite with a force of approximately 792 N. If a human tooth has the Young's modulus of…

A: Force exerted (F) = 792 N Cross sectional area (A) = 1.3 cm2= 0.00013 m2Length of bone (L) = 1.7cm =…

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: 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: A bone in a woman's leg has an effective cross-sectional area of 3.07 cm². If the bone is 36.1 cm…

A: Compressive strength of human bone is CS= Cross- sectional area of the bone, A= 3.07 cm2 = Length of…

Q: Humans can bite with a force of approximately 807 N. If a human tooth has the Young's modulus of…

A: The equation for Young's modulus is given by, Y=σe  (1) Here, σ is the stress and e is the 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 3.40 m, cross-sectional area 2.00 x 10 5 m2, and…

A: Mass hung =195kg Length of wire =3.4m Cross section =2×10-5 m2 Young's moduls = 8×1010 N/m2

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: A wire of 0.5 mm cross-section diameter nd 120 cm length is suspended vertically. What is the…

A: Write the given value of this problem: Diameter of wire(d)=0.5 mm or 0.5×10-3mLength of wire(L)=120…

Q: When water freezes, it expands by about 9.00%. What pressure increase would occur inside your…

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Q: The young's modulus of a material whose elastic strain and stress are 0.33 and 145.23 N/m?…

A: Given information: The strain in a material is, ε=0.33 The stress inside the material is, σ=145.23…

Q: A metallic cube of side 125cm is subjected to a uniform force acting normal to the whole surface of…

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Q: A 16.3 cm long tendon is found to stretch 2.11 mm when a force of 18.8 N is applied to it. If the…

A: Given value--- initial length = 16.3 cm. change in length = 2.11 mm. Force = 18.8 N . diameter =…

Q: Jsing the circle (radius = r =2 cm) and ellipse (long axis = 3 cm, short axis = 1.5 cm) of Figure…

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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).