**Example Shear Modulus Problem for Educational Context**A material has a shear modulus of \( 5.0 \times 10^9 \, \text{N/m}^2 \). A shear stress of \( 1.7 \times 10^7 \, \text{N/m}^2 \) is applied to a piece of the material. What is the resulting shear strain?In this example, the problem involves the following concepts:- **Shear Modulus (\(G\))**: A property that describes a material's ability to resist shear deformation. It is usually denoted in Newtons per square meter (N/m²).- **Shear Stress (\( \tau \))**: This is the force per unit area causing the deformation, also measured in Newtons per square meter (N/m²).- **Shear Strain (\( \gamma \))**: The dimensionless measure of deformation representing the angle of deformation.To find the resulting shear strain, use the relationship:\[ \gamma = \frac{\tau}{G} \]Given:\[ G = 5.0 \times 10^9 \, \text{N/m}^2 \]\[ \tau = 1.7 \times 10^7 \, \text{N/m}^2 \]Solution:\[ \gamma = \frac{1.7 \times 10^7 \, \text{N/m}^2}{5.0 \times 10^9 \, \text{N/m}^2} \]\[ \gamma = 3.4 \times 10^{-3} \]Thus, the shear strain \( \gamma \) is \( 3.4 \times 10^{-3} \). This means the material experiences a shear strain of 0.0034 when subjected to the given shear stress.

Here Shear modulus = 5.0 × 109 N/m2 Shear stress = 1.7 × 107 N/m2 We have to calculate the shear…

Answered: A material has a shear modulus of 5.0 ×…

A material has a shear modulus of 5.0 × 10⁹ N/m². A shear stress of 1.7 x 107 N/m² is applied to a piece of the material. What is the resulting shear strain?

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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