A piece of steel wire, 200.0 cm long and having e cross-sectional area of 0.50 mm2, is stretched by a force of 50 N. Its new length is found to be 200.1 cm. Calculate the stress and strain, and the Young modulus of steel,

Q: A metal wire 1m long and of 2mm diameter is stretched by a load of 40kg. If ? = 7?10^10 ?⁄?2 for…

A: Solution:

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

A:

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…

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Q: After a fall, a 95 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

A: Given:  mass, m = 95 kg  length of rope, L = 15 m  diameter of rope , d = 9.6 mm  extension in…

Q: Consider a rod, when applied with a certain force, reverts to its original form. With stress given…

A: Given data: Stress (σ) = 3.0 GPa Strain (ε) = 0.230 Required: Young’s modulus (Y)

Q: A 215-kg load is hung on a wire of length of 4.60 m, cross-sectional area 2.00 x 10 m2, and Young's…

A:

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: Two rods, one made of copper and the other of steel, have the same dimensions. If the copper rod…

A: Write the expression for Young’s modulus, solve it for the stress of the copper rod as follows.

Q: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 19 m…

A:

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

A: A  force applied tangentially to the face of a body is called shear stress (F/A). The deformation…

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

A:

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: The maximum upward acceleration of a lift of total mass 2500 kg is 0.5 ms, The lift is supported by…

A: Answer             2.575 X 10-4m2

Q: The total tensile load of 160kN of a steel is to be stress at the middle portion limited to 150…

A:

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: 10) A femur bone of length 30 cm and diameter 2.5 cm is subjected to a compressive tress of 1.5 *10…

A:

Q: One end of a metal rod of radius R =8.7 mm and length L-81 cm is held in a vise, see figure. A force…

A: The expression for the Young’s modulus is,

Q: After a fall, a 73 kg rock climber finds himself dangling from the end of a rope that had been 17 m…

A: This problem requires following formula to be used. a)Strain is ratio of stretched length to…

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 metal rod that is 4.00m long and 0.50cm² in cross-sectional area is found to stretch 0.20cm under…

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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: . One end of a steel rod of radius R = 9.5 mm and length L = 81 cm is held in a vise. A force of…

A:

Q: A 15.9 cm long tendon is found to stretch 3.81 mm when a force of 18.0 N is applied to it. If the…

A: The length of the tendon is l = 15.9 cm. The force applied on the tendon is F = 18.0 N. The average…

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 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: After a fall, a 86 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

A:

Q: A copper wire of length 23.179 is designed to withstand a maximum tension of 657 N and 0.627%…

A: Given  Length of copper wire  L = 23.179 m Tension  T = 657 N Strain  ∆L/L × 100 = 0.627 %  ∆L/L =…

Q: Consider a rod, when applied with a certain force, reverts to its original form. With stress given…

A: Given: Stress=3.0 GPa Strain= 0.230 Required: Young modulus=?

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

A:

Q: After a fall, a 88 kg rock climber finds himself dangling from the end of a rope that had been 12 m…

A:

Q: In a materials testing laboratory, a metal wire made from a new alloy is found to break when a…

A:

Q: A box-shaped piece of gelatin dessert has a top area of 15 cm² and a height of 3.0 cm. When a…

A: Given, Area A  = 15 cm2 Height h = 3.0 cm  Force F = 0.50 N

Q: Find Young's modulus if the strain equal ( 0.0002 ) and stress equal ( 80 N/mm2) * 0.02 O 0.0 4 0.0…

A: Strain = 0.0002 Stress = 80 Nmm2

Q: the point that identifies the proportional limit of the material whosee graph of stress as a…

A:

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

A: Bulk modulus is relative change in volume of a body produced by compressive or tensile stress. And…

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 steel guitar string with a diameter of 0.300 mm and a length of 70.0 cm is stretched by 0.500 mm…

A: Young's modulus= 2 × 1011 N/m2

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

A:

Q: A lift of mass 2000 kg is supported by thick steel ropes. If maximum upward acceleration of the lift…

A:

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

A: The given data are listed below with appropriate variables. Here, L denotes the sides of a cube, ∆x…

Q: What hanging mass will stretch a 2.2-m-long, 0.34 mm - diameter steel wire by 1.2 mm? The Young's…

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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).