A specimen of aluminum having a rectangular cross section 10 mm x 12.7 mm. is pulled in tension with 35,50O N force, producing only elastic deformation. Calculate the resulting strain if the modulus of elasticity E for Al is 69 GPa.

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: The bulk modulus of polystyrene is 3.43 GPa. Calculate the hydrostatic pressure (stress) needed for…

A: Bulk modulus of polystyrene B = 3.43 GPa = 3.43×109 Pa The fractional  change in volume  is  Where…

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

A: Write the expression for the increase in length.

Q: A makeshift compact torsional spring is made of steel (Gst = 11,000,000 psi) and is composed of a…

A: Given that a  makeshift compact torsional spring is made of steel (Gst =11,000,000 psi) and is…

Q: A specimen of oil having an initial volume of 600cm3 is subjected to a pressure increase of 3.6 x…

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Q: An anchor made of cast iron of bulk modulus 60.0 × 109 PA and volume of 0.230 m3, is lowered over…

A: Given  Bulk Modulus B=60×109 Pa Change in pressure ∆P=1.75 × 106 Pa. Volume V=0.230 m3

Q: A hollow steel shaft rotates and transmits 50 hp of power at 5 Hz. What will be the shear stress in…

A:

Q: If the elastic limit of copper is 1.50 x 108 N/m2, determine the minimum diameter a copper wire can…

A: Given- If the elastic limit of copper is 1.50 x 108 N/m2, determine the minimum diameter a copper…

Q: Considex cylindoicd 4.0 mm in diametor and nickel wire G a long. 여-the Ne wire (s 207Xb N/m ( 207X…

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Q: Give answers in scientific notation. A sphere of copper is subjected to 120 MPa of pressure. The…

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Q: A steel bar is stresses to 250 MPa. The modulus of elasticity is 250 GPa. The bar is 80 mm diameter…

A:

Q: A piece of wire of Young's moduluS 2.0 x 10" Pa, of diameter 2.0 mm and of length 2.0 m is…

A:

Q: What will be the frequency of oscillation (in Hz) of a mass-spring system whose spring has an…

A: The frequency of oscillation can be given by f=12πkm

Q: a 127g mass is connected to a light spring of force constant 4.00N/m and is free to oscillate on a…

A: Calculate the angular frequency. ω=spring constantmass  =4 N/m0.127 kg  =5.61 rad/s

Q: Calculate the volumetric change in a copper cube of side length (40mm) when subjected to a pressure…

A: Length of the copper cube is L = 40 mm = 40×10-3 m Pressure applied, P=20 MPa = 20×106 Pa Modulus of…

Q: A 15 cm long animal tendon ( وتر ) was found to stretch 3.7 mm by a force of 13.4 N. The tendon was…

A: Given: length of animal   lo=15 cm =150 mm            force F=13.4 N            Diameter=D =…

Q: A mass of 0.75 kg is attached to a relaxed sprig with k= 2.5 N/m. The mass rests on a horizontal,…

A: Mass = 0.75 kg Spring constant (k) = 2.5 Nmdisplacement of mass from equilibrium position (y) = 0.33…

Q: A wire of uniform cross sectional area of 0.15 mm2 is stretched at both ends by a total force of 40…

A: Given, Area of cross section of the wire A = 0.15 mm2 Total force acting on the both end F = 40 N…

Q: The mass center of the 1.5-kg link OC is located at G, and the spring with a stiffness of k = 25 N/m…

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Q: 60kg motor sits on four cylindrical rubber blocks. Each cylinder has a height of 3.0 cm and a…

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Q: A mass of 11 kg is suspended from the ceiling by an aluminium wire of length 2m and diameter 2 mm.…

A: Given: The mass of the block is 11 kg. The length of the wire is 2 m. The diameter of the wire is 2…

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

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Q: If the Junk modulus of Y is 160GPA and the shear modulus of elasticity is 0.25Y, what is the value…

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Q: What will be the frequency of oscillation (in Hz) of a mass-spring system whose spring has an…

A: Given data The elastic constant of the spring is k = 78.2 N/m The mass of the system is m = 486.9 g…

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: A 10kg load suspended by a brass wire 10m long is observed to vibrate vertically in SHM at a…

A: The frequency (f) of the load is given. Write the expression for the frequency of a vibration, and…

Q: If the elastic limit of steel is 5.0 x 108 Pa, determine the minimum diameter a steel wire can have…

A: Write the formula for the maximum allowable stress.

Q: A specimen of oil having an initial volume of 600 cm3 is subjected to a pressure increase of 3.6 *…

A: Given, Initial volume, V0=600 cm3, pressure increase, ∆P=3.6×106 Pa, and volume decrease, ∆V=0.45…

Q: A support beam is made of steel that has a Young's Modulus of 200 gigapascals [GPa\. The support…

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Q: A 4.5 long iron rod with a cross-sectional area of 0.75 centimeter square stretches 0.85 mm when a…

A: ∆LL=0.85×10-34.5=0.19×10-3 Force, F=mg=195×9.8=1911 N Where m is mass. Area, A=0.75 cm2=0.75×10-4 m2…

Q: A system requires a metal component with the design specification that it not experience more than…

A: Given data: The stain is ε=0.1%=1×10-3 The range of the stress is σ=0,1000 kPa First, calculate…

Q: The pressure in an explosion chamber is 345M Pa. What would be the per cent change in volume of…

A: Let P be the pressure, B be the bulk modulus of the chamber, V be the volume.Write the expression…

Q: A 0.490-m-long guitar string, of cross-sectional area 1.00 x 10 ^-6 m^2, has Young's modulus Y =…

A: The elongation of the wire, using Hooke's law, ∆L=FLAY

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

A:

Q: A steel bar 100 mm long and having a square cross section 20 mm on an edge is pulled in tension with…

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Q: A square flat plate of dimensions 1 m x 1 m is moving with a maximum speed , U causing a fully…

A: The given values are, A=1 m×1 m=1 m2ρ=1.2 kg/m3υ=1.5×10-5 m2/s

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 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: A 3m long steel bar whose diameter is 25 mm is compressed by a 25 KN force. If the value of the…

A: The stress is defined as the force per unit area.

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 cylindrical specimen of some metal alloy of 8 mm in diameter is stressed elastically in tension. A…

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Q: A steel rectangular block, a = 2.4cm wide and b =1.2 cm deep, is subjected to an axial tensile load…

A: Modulus of elasticity for a volume object is known as Bulk modulus of elasticity.

Q: 5.7 During the test of a specimen in a tensile testing ma- chine, it is found that the specimen…

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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).