An aluminum wire is 0.850 m long and has a circular cross section of diameter 0.780 mm. Fixed at the top end, the wire supports a 1.20-kg object that swings in a horizontal circle. Determine the angular speed of the object required to produce a strain of 1.00 × 10-3.

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: "One end of a steel rod of radius R = 10mm and length L = 80 cm is held in a vise. A force of…

A:

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: Consider a copper wire with cross-sectional area 4 mm?. The Young's modulus for copper is 1.1 × 1011…

A:

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: 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: An 11.0-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…

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Q: A metal slab of side (74+ 75) cm and thickness (74 + 25) cm is subjected to a tangential force of…

A:

Q: A wire of uniform cross sectional area of 0.45 mm is stretched at both ends by a total force of 7O N…

A: Given: Area of cross section of wire is 0.45 mm2. Force acting on the wire is 70 N. Strain produced…

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded, as shown. If the…

A: To find minimum diameter for each rod use the formula of normal stress and put the values to solve .…

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: The bulk modulus of a material is 1.0 × 1011 N/m2. What fractional change in volume does a piece of…

A: Given Data: The bulk modulus is, β=1.0×1011 N/m2 The increase in bulk stress is, Δp=107 N/m2   The…

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: 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: Two cylindrical rods, one steel (Y = 2.00×10" Pa) and the other copper (Y = 1.10×10" Pa), are joined…

A: SOlution: Given that Steel, Y = 2x1011 Pa copper, Y = 1.1x1011 Pa Steel, L =1.3 m Copper ,L =2.6 m…

Q: A steel cable 1.70 m in length and with cross-sectional radius 0.380 mm is used to suspend from the…

A: Length of cable (L) = 1.70 m cross sectional radisu (r) = 0.38 mm mass (m) = 20 kg angular speed =…

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: Nylon breaks when the tensile stress within it reaches 1.0 x 10 ’ Pa. Which range below includes the…

A: Given data: The stress in thread is σ=1×109 Pa. The diameter of thread is d=1.00 mm.

Q: Consider a steel bolt as a cylinder with a diameter of 3.41 cm and length of 13.8 cm. A shear or…

A: diameter of 3.41 cm  length of 13.8 cm shear stress of 313 MN/m ² shear Modulus Ssteel =G= 8.4×…

Q: A steel wire having a radius of 2.0 mm, carrying a load of 4kg, is hanging from a ceiling. Given…

A:

Q: A material is made in circular rod form of diameter 0.6 cm and 10 cm long . It is fixed on the…

A: Dear student The strain is defined as Change in length per unit original Length. Strain = ∆L/L

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

A:

Q: A person has 100 kg mass is suspended by his arms on a metallic bar. Determine the strain of the…

A: Given: Introduction: The young's modulus (Y) for a body is the measure of its strength. It is…

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: A circular steel wire 2.4m long must stretch no more than 0.24cm when a tensile force of 420 N is…

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Q: 20. A 20 cm cylindrical brass rod with diameter 6 cm is held vertically on its one circular flat…

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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: "One end of a steel rod of radius R = 10mm and length L = 80 cm is held in a vise. A force of…

A:

Q: Q2.8/ If the tensile stresses generated in a copper rod after the influence of external forces (ot…

A: Given data: The tensile stress in the material is σt=2158.2104 N/m2. The longitudinal strain is…

Q: A cylindrical specimen of a iron with a Young's modulus of 220 GPa has an original length of 220 mm…

A:

Q: What force is required to stretch a steel wire 1 cm² in cross section to double its length, if…

A: When a force is applied at the end of the material gets deformed and the molecules of the material…

Q: The base of an aluminum block, which is fixed in place, measures 10 cm by 10 cm, and the height of…

A: Given data: Dimensions of block is, 10 cm×10 cm.  Height of block is, L=80 cm=0.8 m. Magnitude of…

Q: Assume a person's mass is 62.0 kg and each of her shoes has an area of 220 cm?. F What is the…

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

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

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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 marble column with a cross-sectional area of 25.2 cm2 supports a load of 7.0 × 104 N. The marble…

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Q: A marble column of cross-sectional area 0.80 m2 supports a mass of 18000 kg. The elastic modulus for…

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Q: Young's modulus of iron rod is 21 × 1010 N/m². A force of 7.0 x 105 N is applied to a 1.5-m length…

A: Force applied, F = 7x105 N Length of iron rod, l = 1.5 m Cross sectional area of iron, a = 0.25 m2…

Q: The pole in the figure is a a 90° bend in a power line and is therefore subjected to more shear…

A: Tension in wires at top , T = 3.5 x 104 N Angle made by wire with the vertical , θ = 80° Height of…

Q: Find the elongation of a steel rod of 100 mm long when it is subjected to a tensile strain of 0.004?…

A: (b) 0.4 mm

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

A: When the thread is stretched under the weight of the insect, calculate the total length of the…

Q: A solid copper cube has an edge length of 89.8 cm. How much stress must be applied to the cube to…

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Q: A body of mass 500 kg is suspended at the free end of an iron wire of length 3 m and cross-sectional…

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Q: A vertical steel girder with a crosssectional area of 0.15 m2 has a 1550 kg sign hanging from its…

A:

Q: A steel rod 2,0-m long has a cross-sectional area of 0,30 cm?. It is hung by one end from a support,…

A: Given, Length of steel rod = 2.0 m Area = 0.30 cm2 Mass = 550 kg ESteel=20.0×1010 Pa

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).