What is the modulus of elasticity? a) Ratio of elongation of a material to the original length b) It is defined as the ratio of stress (force per unit area) along an axis to strain (ratio of deformation over initial length) along that axis c) It is force per unit area and can be expressed as the ratio of the applied force and the cross-sectional area d) It tends to compress or shorten the material none of them

What is the modulus of elasticity? a) Ratio of elongation of a material to the original length b) It is defined as the ratio of stress (force per unit area) along an axis to strain (ratio of deformation over initial length) along that axis c) It is force per unit area and can be expressed as the ratio of the applied force and the cross-sectional area d) It tends to compress or shorten the material none of them

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 48PQ: A company is testing a new material made of recycled plastic for use in construction. Figure P14.48...

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Normal forces of magnitude 1.0106N are applied uniformly to a spherical surface enclosing a volume of a liquid. This causes the radius of the surface to decrease from 50.000 cm to 49.995 cm. What is the bulk modulus of the liquid?
The bulk modulus of a material is 1.01011N/m2 . What fractional change in volume does a piece of this material undergo when it is subjected to a bulk stress increase of 107N/m2 ? Assume that the force is applied uniformly over the surface.
Bone has a Youngs modulus of 18 109 Pa. Under compression, it can will island a stress or about 160 106 Pa before breaking. Assume that a femur (thigh bone) is 0.50 m long, and calculate the amount of compression this bone can withstand before breaking.
Bone has a Youngs modulus of 18 109 Pa. Under compression, it can will island a stress or about 160 106 Pa before breaking. Assume that a femur (thigh bone) is 0.50 m long, and calculate the amount of compression this bone can withstand before breaking.
Two thin rods, one made of steel and the other of aluminium, are joined end to end. Each rod is 2.0m long and has cross-sectional area 9.1mm2 . If a 10,000N tensile force is applied at each end of the combination, find: (a) stress in each rod; (b) strain in each rod; and, (c) elongation of each rod.
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.
Review. A wire of length L, Youngs modulus Y, and cross-sectional area A is stretched elastically by an amount L. By Hookes law, the restoring force is kL. (a) Show that k = YA/L. (b) Show that the work done in stretching the wire by an amount L is W=12YA(L)2/L.
One end of a vertical metallic wire of length 2.0m and diameter 1.0mm is attached to a ceiling, and the other end is attached to a 5.0N weight pan, as shown below. The position of the pointer before the pan is 4.000cm . Different weights are then added to the pan area, and the position of the pointer is recorded in the table shown. Plot stess versus strain for this wire, then the use the resulting curve to determine Young’s modulus and the proportionality limit of the metal. What metal is this most likely to be?
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?
Discuss how you might measure the bulk modulus of a liquid.
A company is testing a new material made of recycled plastic for use in construction. Figure P14.48 is a graph of the stress as a function of strain for this material. Find Youngs modulus for this material and compare your result with the data for conventional building materials listed in Table 14.1.
A vertebra is subjected to a shearing force of 500 N. Find the shear deformation, taking the vertebra to be a cylinder 3.00 cm high and 4.00 cm in diameter.