2. A rubber band 20 cm long has a cross-sectional area of 4 mm?. What load will stretch therubber band 1 mm if the modulus of elasticity of rubber band is 4 x 1015 dynes/cm??3. A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper faceis displaced laterally by 0.1 mm by a force of 2 x 10° dynes acting parallel to the surface,calculate the shear modulus of the material.4. If the density of seawater is 1.03 g/cm³ at the surface, what is its density at a depth where

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Answered: 2. A rubber band 20 cm long has a…

2. A rubber band 20 cm long has a cross-sectional area of 4 mm?. What load will stretch the rubber band 1 mm if the modulus of elasticity of rubber band is 4 x 1015 dynes/cm?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 57PQ: A copper rod with length 1.4 m and cross-sectional area 2.0 cm2 is fastened to a steel rod of length...

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Concept explainers

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).

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2. A rubber band 20 cm long has a cross-sectional area of 4 mm?. What load will stretch the
rubber band 1 mm if the modulus of elasticity of rubber band is 4 x 1015 dynes/cm??
3. 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 10° dynes acting parallel to the surface,
calculate the shear modulus of the material.
4. If the density of seawater is 1.03 g/cm³ at the surface, what is its density at a depth where

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Review. On a day that the temperature is 20.0C, a concrete walk is poured in such a way that the ends of the walk are unable to move. Take Youngs modulus for concrete to be 7.00 109 N/m2 and the compressive strength to be 2.00 109 N/m2. (a) What is the stress in the cement on a hot day of 50.0C? (b) Does the concrete fracture?
The lintel of prestressed reinforced concrete in Figure P12.27 is 1.50 m long. The concrete encloses one steel reinforcing rod with cross-sectional area 1.50 cm2. The rod joins two strong end plates. The cross-sectional area of the concrete perpendicular to the rod is 50.0 cm2. Youngs modulus for the concrete is 30.0 109 N/m2. After the concrete cures and the original tension T1 in the rod is released, the concrete is to be under compressive stress 8.00 106 N/m2. (a) By what distance will the rod compress the concrete when the original tension in the rod is released? (b) What is the new tension T2 in the rod? (c) The rod will then be how much longer than its unstressed length? (d) When the concrete was poured, the rod should have been stretched by what extension distance from its unstressed length? (e) Find the required original tension T1 in the rod. Figure P12.27
Assume Youngs modulus for bone is 1.50 1010 N/m2. The bone breaks if stress greater than 1.50 108 N/m2 is imposed on it. (a) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.50 cm? (b) If this much force is applied compressively, by how much does the 25.0-cm-long bone shorten?
A disk between vertebrae in the spine is subjected to a shearing force of 600 N. Find its shear deformation, taking it to have the shear modulus of 1109 N /m2. The disk is equivalent to a solid cylinder 0.700 cm high and 4.00 cm in diameter.
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A high-speed lifting mechanism supports an 800.-kg object with a steel cable that is 25.0 m long and 4.00 cm2 in cross-sectional area. (a) Determine the elongation of the cable. (b) By what additional amount does the cable increase in length if the object is accelerated upward at a rate of 3.0 m/s2? (c) What is the greatest mass that can be accelerated upward at 3.0 m/s2 if the stress in the fable is not to exceed the elastic limit of the cable, which is 2.2 108 Pa?
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