Two rods are identical in all respects except one: one rod is made from aluminum (Young's modulus 6.8 x 1010 N/m²), and the other from tungsten (Young's modulus 1.7 x 1011 N/m²). The rods are joined end to end, in order to make a single rod that is twice as long as either the aluminum or tungsten rod. What is the effective value of Young's modulus for this composite rod? That is, what value Ycomposite of Young's modulus should be used in Equation 10.17 when applied to the composite rod? Note that the change ALcomposite in the length of the composite rod is the sum of the changes in length of the aluminum and tungsten rods.

Two rods are identical in all respects except one: one rod is made from aluminum (Young's modulus 6.8 x 1010 N/m²), and the other from tungsten (Young's modulus 1.7 x 1011 N/m²). The rods are joined end to end, in order to make a single rod that is twice as long as either the aluminum or tungsten rod. What is the effective value of Young's modulus for this composite rod? That is, what value Ycomposite of Young's modulus should be used in Equation 10.17 when applied to the composite rod? Note that the change ALcomposite in the length of the composite rod is the sum of the changes in length of the aluminum and tungsten rods.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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).

Question

Two rods are identical in all respects except one: one rod is made from aluminum (Young's modulus 6.8 x 1010 N/m²), and the other
from tungsten (Young's modulus 1.7 x 1011 N/m²). The rods are joined end to end, in order to make a single rod that is twice as long as
either the aluminum or tungsten rod. What is the effective value of Young's modulus for this composite rod? That is, what value
Ycomposite of Young's modulus should be used in Equation 10.17 when applied to the composite rod? Note that the change ALComposite
in the length of the composite rod is the sum of the changes in length of the aluminum and tungsten rods.

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