A wire of uniform cross sectional area of 0.15 mm2 is stretched at both ends by a total force of 40 N and the strain produced by the wire is 1 × 10–2 m. Calculate the Young modulus of the material of the wire.

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 cylindrical rod having a cross sectional area of 20 mm2 is pulled in a tension and this is the…

A: Dear student According to Hook's Law, the Stress is directly proportional to Strain. So Young's…

Q: A horizontal aluminum rod 4.8 cm in diameter projects 5.3 cm from a wall.A 1200 kg object is…

A: a) The required shear stress is,

Q: True or False: A cylindrical rod with a cross sectional area of 0.1 m^2 which is subjected to a…

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: A 0.800 m-long metal wire has a circular cross section of diameter 0.900 mm. One end of the wire is…

A: Given that, Length of the wire(L)= 0.8 m Diameter (d)= 0.9× 10-³ m So, radius (r)= (0.9×10-³)/2=…

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: What is the pressure required to reduce the volume of a brass block by 10%?[Given the Bulk Modulus…

A: To solve the question we will use the formula: Bulk modulus, k=PdVV

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 horizontal aluminum rod 4.8 cm in diameter projects 5.3 cm from a wall.A 1200 kg object is…

A:

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: 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: A 0.900 m-long metal wire has a circular cross section of diameter 0.950 mm. One end of the wire is…

A: Write the expression for young’s modulus.

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: A 0.900 m-long metal wire has a circular cross section of diameter 0.950 mm. One end of the wire is…

A:

Q: A tensile stress is to be applied along the axis of a cylindrical brass rod with diameter of 15 mm.…

A: The lateral strain is, εx=∆dd0     =-3.5×10-215×10-3     =-2.33 The axial strain is, εz=-εxν…

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

A:

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: 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 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 weight of (50kg) affects the lower end of a steel rod of length (80cm) and diameter (0.60cm). What…

A: Given: The mass of the weight is 50 kg. The length of the rod is 80 cm. The diameter of the rod is…

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: 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: A steel wire of length 1.97 m with circular cross section must stretch no more than 0.240 cm when a…

A:

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: 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: 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 200-kg load is hung on a wire with a length of 4.00 m, a cross-sectional area of 0.200 x 10-4…

A:

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 solid steel sphere with a radius of 2.0 m falls off a ship and sinks to a depth where the pressure…

A: Given : radius, r= 2 m  Pressure, P = 15 MN/m2 = 15 × 106 N/m2  Bulk modulus, B=1.6×1011 N/m2  Find…

Q: 4-A cylindrical steel specimen is subjected to a stress of (100 Mpa). If the axial strain ( E. ) is…

A:

Q: A bar of an advanced alloy having an elastic modulus of 107 GPa and an original diameter of 3.8 mm…

A:

Q: A wire of uniform 1mm ^ 2 radius is fixed at its top end and has a weight tied at the other end. If…

A:

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

A: Given: The length of the wire is 3 m. The diameter of the wire is 1 mm. The tenson in the wire is 5…

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: 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…

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).