A steel wire of diameter 1 mm can support a tension of 0.2 kN. Determine the diameter of a steel cable to support a tension of 20 kN?   A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is displaced laterally by 0.1 mm by a force of 2 x 106 dynes acting parallel to the surface, calculate the shear modulus of the material.

Q: One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

A: solution as .

Q: We have a rod made of a certain metal. The rod’s length is L = 1.2 m and has a circular cross…

A: Given L = 1.2 m r = 3.2 mm m = 22 kg d = 2.5 mm we have to find out  Young’s modulus for this metal.

Q: The unknown metal cube measures 4.2 x 10 ― 2 m has a stress of 9.2 x 1011 N/m 2 and a change of…

A:

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: 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 cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: The shear modulus of the material can be determined as, G=FLAΔx

Q: Normal forces of magnitude 1.0 × 106 N are applied uniformly to a spherical surface enclosing a…

A:

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: Find the force required to stretch a 1.0 m steel wire of diameter 3.2 mm by 10.0 mm. Given the…

A:

Q: A horizontal aluminum rod 2.9 cm in diameter projects 7.2 cm from a wall. A 950 kg object is…

A:

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

A:

Q: In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is…

A:

Q: A cylindrical aluminum rod, with an initial length of 0.8769 m and radius 996.0 µm, is clamped in…

A: Given initial length of cylindrical aluminum rod Li = 0.8769 m initial radius of cylindrical…

Q: A mineshaft has an ore elevator hung from a single braided cable of diameter 2.5 cm. Young’s modulus…

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

A: Given Data: Mass,   Wire length,   Cross-sectional area,   Young’s modulus,   Standard Data Used:…

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A:

Q: What is the force required to a steel wire to double its length when its area of cross-section is…

A: In the question it is given that ,Young's Modulus Y=200GPa=200×106Pa=2×104N/m2length of the wire…

Q: A horizontal aluminum rod 3.9 cm in diameter projects 7.1 cm from a wall. A 1200 kg object is…

A:

Q: A horizontal aluminum rod 4.7 cm in diameter projects 4.4 cm from a wall. A 1100 kg object is…

A: Given: Diameter of aluminum rod, d=4.7 cm projects at a distance L= 4.4 cm from a wall. Mass of…

Q: 'One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

A:

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: Shear modulus of the material is, η=FLAx=FLL2x=FLx

Q: A 2.50m long steel piano wire has a diameter of 0.50cm. How great is the tension in the wire if it…

A: Given:  Length of piano, L = 2.5 m  diameter of wire, d = 0.50 cm  radius of wire, r = 0.25 cm =…

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: "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: A 28.0 m long aluminum cable with a cross-sectional area of 2.01 ✕ 10−3 m2 is used to suspend a 3.40…

A: Y=mg/A∆L/L   =mgLA∆L∆L=mgLYA

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

A: We need to calculate the elongation of the rod when the given force is applied.

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

A:

Q: "One end of a steel rod of radius R = 10mm and length L = 100 cm is held in a vise. A force of…

A:

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: Let the force applied on the cube is denoted as F and it displaces the upper face by distance x. The…

Q: A piano wire 0.82 m long and 0.93 mm in diameter is fixedon one end. The other end is wrapped around…

A: The expression for the cross-sectional area is A=π4d2=π40.93 mm×1 m1000 mm2=6.7929×10-7 m2 When the…

Q: Consider a cylindrical cable with a hanging weight suspended from it. a)When the mass is removed,…

A: Young modulus is the ratio between stress and strain. It is parameter of stiffness of a material.

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

A: Dear student The Young modulus is defined as: Y = Stress/ Strain Here stress = Force / Area Strain =…

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

A: Convert the shear stress on cells in N/m2.

Q: A solid body of mass 200kg hanging from a steel. Wire 5m long, and cross section 0.08 cm^2. The wire…

A:

Q: "One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

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 copper wire of length 4.4 m , cross sectional area 2.8 x 10--m²and Young's modulus 11 x 1010 N/m²…

A: Given: A copper wire of length , L=4.4 m , Cross sectional area, A= 2.8 x 10-6 m Young's modulus, E…

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

A: Determine the cross-sectional area of the rod.

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: shear modulus is given by, G =FlA∆xwhere, F=force acting on the body =2×106 dynes = 20 Nl =initial…

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 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 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…

Q: One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

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: A plank 2.00 cm thick and 14.7 cm wide is firmly attached to the railing of a ship by clamps so that…

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).