A 1.6 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.3 x 109 N/m2 and a radius of 12 x 10-6 m. Suppose that a 96-kg person is hanging vertically on an aluminum (Young's modulus 6.9 x 1010 N/m2) wire. What is the radius of the wire that would exhibit the same strain as the spider's thread, when the thread is stressed by the full weight of the spider?

Q: A horizontal aluminum rod 3.9 cm in diameter projects 5.5 cm from a wall. A 1100 kg object is…

A: a) Determine the shear stress of the rod.

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: 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: A horizontal aluminum rod 3.1 cm in diameter projects 4.6 cm from a wall. A 940 kg object is…

A: Given : Diameter of horizontal aluminum rod, d = 3.1 cm = 0.031 m Radius of the horizontal aluminum…

Q: A 5.0m long steel wire has a cross-sectional area of 0.55cm2 . Its proportional limit has a value of…

A: Given, Length = 5.0 m Area = 0.55 cm2

Q: One end of a brass wire 120 cm long and a diameter of 0.24 cm is fastened to a point in the ceiling.…

A: Length of wire l=120 cm, diameter of the wire d=0.24 cm (radius r=d/2=0.12 cm), weight of the body…

Q: In regions of the cardiovascular system where there is steady laminar blood flow, the shear stress…

A:

Q: A 5.0 × 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm². The wire…

A:

Q: A high-carbon steel wire, circular in cross-section, has a diameter of 14 mm. What is the force (in…

A:

Q: A horizontal aluminum rod 4.7 cm in diameter projects4.4 cm from a wall. A 1100 kg object is…

A:

Q: A 1.4 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.5 x…

A: Given: Mass of spider is m=1.4×10-3 kg Young's modulus of thread is Y=4.5×109 N/m2 Radius of thread…

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 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: (c) Distinguish between stress and strain associated with elasticity. (d) One end of an iron rod…

A: F = 90 kN = 90 x 103 N Diameter , d = 1.6 cm  Radius , r = 0.8 cm = 0.8 x 10-2 m Length , L = 0.7 m…

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 1.05-m-long rod of negligible weight is supported at its ends by wires A and B of equal length…

A: Solution:-

Q: A horizontal aluminum rod 3.6 cm in diameter projects 5.6 cm from a wall. A 1000 kg object is…

A: Given:-  A horizontal aluminum rod of diameter d = 3.6 cm = 0.036 m  The distance from the wall is L…

Q: Calculate the Young's modulus for the given wire when a load of 2000 N is hung from the wire? The…

A: Write the equation for Young’s modulus of elasticity

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: Max (mass = 15 kg) is hanging from one end of a 13-m long bungee cord that has its other end fixed…

A:

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 solid copper cube has an edge length of 81.6 cm. How much stress must be applied to the cube to…

A: Given: L=81.6 cmL'=81.0 cmB=1.4*1011 N/m2

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 26.0 m long steel cable with a cross-sectional area of 2.05 ✕ 10−3 m2 is used to suspend a 3.60 ✕…

A:

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than o= 45844…

A: Young's modulus is Y= 1.5×10¹⁰  N/m²  Maximum stress is σ = 45844 N/m²  Effective radius of the bone…

Q: A 1.3 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.4 x…

A:

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

A: We  have,  stress=forcearea and                strain=change in lengthoriginal lengthHence,  work…

Q: A horizontal aluminum rod 3.0 cm in diameter projects 3.9 cm from a wall. A 870 kg object is…

A: Given:- Diamtere of the rod = 3.0 cm  The radius of the rod is = 3/2=1.5 cm =1.5 X 10-2 m Length of…

Q: A solid copper cube has an edge length of 88.9 cm. How much stress must be applied to the cube to…

A:

Q: 1 m wire has a cross sectional area 10-4 m2. The wire is stretched by a load of 50 kg causing it to…

A:

Q: An elevator of mass of 1200kg is hanged by steel wire with a cross sectional area 1.2*10-4 m2…

A:

Q: A horizontal aluminum rod 3.2 cm in diameter projects 7.6 cm from a wall. A 1100 kg object is…

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: 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: A wire of uniform cross sectional area of 0.45 mm2 is stretched at both ends by a total force of 65…

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: One end of a copper rod with a diameter of 20 mm and a length of 0.95 m is held in a vise. A force…

A:

Q: A 5.0 x 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm². The wire…

A:

Q: A horizontal aluminum rod 3.4 cm in diameter projects 7.0 cm from a wall. A 810 kg object is…

A: Answer:- Given  Shear modulus (G) = 3 × 1010 N/m2  Length (L) = 7 cm =7× 10-2 m  Diameter of rod (d)…

Q: A horizontal aluminum rod 3.3 cm in diameter projects 7.2 cm from a wall. A 1000 kg object is…

A: This is a question regarding the shear stress on a body under a force. The shear stress on a…

Q: Calculate the Young's modulus for the given wire when a load of 2000 N is hung from the wire? The…

A: The Young's modulus is given by  Y = F LA l where, F is the force, L is the original length, A is…

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

A:

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

A: Solution:-

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).