diameter of a steel cable to support a tension of 20 kN? 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 lateraly 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/cm at the surface, what is its density at a depth where the pressure is 10° dynes/cm??

diameter of a steel cable to support a tension of 20 kN? 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 lateraly 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/cm at the surface, what is its density at a depth where the pressure is 10° dynes/cm??

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 27AP: The lintel of prestressed reinforced concrete in Figure P12.27 is 1.50 m long. The concrete encloses...

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A 100-N weight is attached to a free end of a metallic wire that hangs from the ceiling. When a second 100-N weight is added to the wire, it stretches 3.0 mm. The diameter and the length of the wire are 1.0 mm and2.0 m, respectively. What is Young’s modulus of the metal used to manufacture the wire?
(a) When water freezes, its volume increases by 9.05% (that is, V/V0=9.05102 ). What force per unit area is water capable of exerting on a container when it freezes? (It is acceptable to use the bulk modulus of water in this problem.) (b) Is it surprising that such forces can fracture engine blocks, boulders, and the like?
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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
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