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

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: By what amount does the nylon stretch?

A:

Q: In the linear region of the Strain vs. Stress diagram is called Elastic Modulus * O True False

A: False The linear region is not Elastic modulus

Q: Stress (MPa) 800 Breaking point 600 Elastic limit 400 200 Eļastic behavior Strain 0.002 0.004 0.006…

A:

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: An ACL has an unloaded length of 3.8 cm and is subject to a tension stress that results in a 5%…

A: Given,

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: 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: The figure represents an insect caught at the midpoint of a spider-web thread. The thread breaks…

A: Given,breaking stress of the string, 9.2 ×108 N/m2strain, 2.00lengthh of the thread, L = 3.0 cmcross…

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…

A:

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: A tangential force of 0.004 KN affected the upper surface of a rectangle 5 mm high, 3 cm long and 5…

A: Given Dimensions, l=3 cm= 3×10-2mw=5 cm=5×10-2mh=5mm=5×10-3m Tangential force, F=0.004 KN= 4N…

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

A:

Q: Refer to figure 1 and table 9.1. A force of 1.08x10° N is applied on an object over an area of 0.030…

A: Given data:  Force applied (F) = 1.08×106 N Area (A) = 0.030 m2 Strain (ε) = 4.0×10-4

Q: Evaluate Young's modulus for the material whose stress-strain curve is shown in the figure below.…

A: From the figure given stress strain curve, it is clear that the stress of the material corresponding…

Q: a metal rod with length 2 m and cross sectional area of 0.002 m2 has a youngs modulus of 20x10^10Pa.…

A:

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: Find the minimum diameter of a (50 m)- long nylon string that will stretch no more than (1 cm) when…

A:

Q: Below are the stress-strain graphs of 3 different materials. Which of these materials has the…

A: Given, Graph between stress and strain as we know that from hooks law that young…

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: 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: solid copper cube has an edge length of 81.3 cm. How much stress must be applied to the cube to…

A: Given  Initial length l1 = 81.3 cm = 0.813 m  Final length l2  = 81 cm = 0.81 m  Bulk modulus B =…

Q: Prove that elastic energy density is (1/2) stress* strain.

A: Write the expression for young’s modulus and solve for force.

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: 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 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: A spider of mass 6.3  10-4 kg hangs from a 70.9 cm long thread whose diameter is 2.0  10-3 mm.…

A:

Q: Find the minimum diameter of a (50 m)- long nylon string that will stretch no more than (1 cm) when…

A: Initial length of the nylon string Lo = 50 m  Change in length of the nylon string ∆L = 1 cm =>…

Q: What shear stress is needed to produce a shear strain of 2.50 x 105 on an aluminum block?

A: Given data: Shear strain of Aluminum block is, εs=2.50×10-5.

Q: A mass of 35.0 kg is suspended from a steel wire of diameter 1.00 mm and length 11.3 m. How much…

A: Stress is defined as the force applied per unit area and it is given as σ = FA…

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

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:

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

A:

Q: 8- Evaluate Young's modulus for the material whose stress – straincurve is shownin Figure. Stress…

A: As per guidelines, only first question(8) is solved here. Young modulus is slope or gradient of…

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

A:

Q: A 1.0 x 10-3 kg spider is hanging vertically by a thread that has a Young’s modulus of 4.5 x 109 N/m…

A:

Q: A 6.10 m long marble column has a cross sectional area of 1.38 m^2 has a Young's modulus of 50.5 x…

A: The Young's modulus is given by, Y=σe Here, σ is the stress and e is the strain. The stress is the…

Q: A solid copper cube has an edge length of 85.3 cm. Ho w much st The bulk modulus of copper is 1.4x…

A: givenLi=85.3 cmLf=85 cmK=1.4×1011 N/m2

Q: A solid copper cube has an edge length of 88.3 cm. How much stress must be applied to the cube to…

A:

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

A: Let the force applied by the human’s tooth be F, the length of the tooth be L, the area of…

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).