A uniform rope of cross-sectional area 0.50 cm2 breaks when the tensile stress in it reaches 6.00 × 106 N/m2. (a) What is the maximum load that can be lifted slowly at a constant speed by the rope? (b) What is the maximum load that can be lifted by the rope with an acceleration of 4.00 m/s2 ?

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 20 g rectangle block of aluminium is 35 cm by  45 cm by 15 cm when unstressed. A force is applied…

A: Given information: The mass of the rectangle aluminum block (m) = 20 g = 0.02 kg The dimensions of…

Q: A large uniform cylindrical steel rod of density ρ = 7.8 g/cm3 is 2.0 m long and has a diameter of…

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: By applying 2.00 x 106 N/m2 shear stress to a steel bar 2 m in length, calculated the shear bending…

A: Shear Bending Stress(S) for steel is given as,    S=(8.3×108 N/m2)=Shear StressShear strain

Q: A bar with a uniform cross-sectional area of 300 mm² is subjected to axial loads, as shown in the…

A: Correct option (b) 140 Mpa

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: The base of a metal block, which is fixed in place, measures 90 cm by 90 cm, and the height of the…

A:

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

A: Original length (L) = 88.3 cm New length (L') = 88 cm

Q: The following figures show a steel bars of thickness h = 5 mm. the bars are subjected to a force P.…

A: Given: Figures with thickness, h = 5 mm Shear stress, t = 140MPa

Q: An aluminum (ρ = 2.7 g/cm3) wire is suspended from the ceiling and hangs vertically. How long must…

A:

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 steel rod with a diameter 15 mm is applied by a load of 15KN due to the load the diameter of the…

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: Calculate the strain of a brass rod of length 250 mm which is subjected to a tensile load of 50 kN…

A: Length , L = 250 mm Elongation , ∆L = 0.2 mm Load , F = 50 kN To find = Strain

Q: Is thrée times larger than in steel shaft. QI1) For the section shown aside, if the bending stress…

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: 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: 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 solid copper cube has an edge length of 89.9 cm. How much stress must be applied to the cube to…

A: The ratio of volumetric stress with volumetric strain is defined as the bulk modulus. To solve the…

Q: A metal slab is on top of a concrete column which has a height of 6.5 meters and a diameter of 1.50…

A:

Q: What is the load should be placed on a wire of diameter 2 mm so that the permitted strain does not…

A: Given data: Strain =1/1000=10-3. Modulus of elasticity Y=35×1010 N/m2. Diameter of the wire d=2mm

Q: Poisson’s ratio for lead is 0.41. What change in volume takes place when a cube of lead of volume…

A: The given values are, σ=0.41V=1.0 dm3=1.0 dm30.1 m1 dm3=1.0×10-3 m3∆LL=2.0%=2.0100=0.02

Q: When using a pencil eraser, you exert a downward force of 5.5 N at a distance of 1.9 cm from the…

A:

Q: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

A: Given: Length of each beam, L=4 m Area of cross-section,A=7.5×10-3 m2 Load, W=4.5×104 N Young's…

Q: What is the stress for a wire of 5 m long so that the strain is 2% of 0.2? The cross-sectional area…

A:

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: Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 mm. What…

A: Given, Diameter of the metal bar, d = 6.0 mm = 6.0 × 10–3 mRadius, r = d/2 = 2.5 × 10-3 m Maximum…

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

A:

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

A:

Q: A wire has a mass 5.3 g and length 2.50m. A force of 50 N can extend it by 2.3 mm. Determine (a) the…

A: we know that  density = mass/volume 2.7x103=5.3x10-3A x 2.5Area = A = 7.85 x10-7 m2

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

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 solid copper cube has an edge length of 85.5 cm. How much stress must be applied to the cube to…

A: We know, Now,

Q: A solid copper cube has an edge length of 81.9 cm. How much stress must be applied to the cube to…

A: Given  Initial length l1 = 81.9 cm = 0.819 m  Final length l2  = 81 cm = 0.81 m  Bulk modulus B =…

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

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 200-kg load is hung on a wire of length 4.00 m, cross-sectional area 0.200 × 10–4 m2, and Young’s…

A:

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

A:

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: Two strips of metal are riveted together at their ends by four rivets, each of diameter 8.0 mm. What…

A: Diameter of each rivet,

Q: The figure shows an approximate plot of stress versus strain for a spider-web thread, out to the…

A: Solution:-

Q: A solid copper cube has an edge length of 87.9 cm. How much stress must be applied to the cube to…

A:

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).