Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
3rd Edition
ISBN: 9780133593211
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: PEARSON
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Textbook Question
Chapter 7.1, Problem 1CC
Express the following values using an appropriate Sl prefix such that there are only one, two, or three digits shown to the left of the decimal.
| Standard | With Prefix |
| (a) 3,100 joules [J] | |
| (b) 26,510,000 watts [W] | |
| (c) 459.000 seconds (s] | |
| (d) 0.00000032 grams [g] | |
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The elastic bar from Problem 1 spins with angular velocity ω about an axis, as shown in the figure below. The radial acceleration at a generic point x along the bar is a(x) = ω 2 x. Under this radial acceleration, the bar stretches along x with displacement function u(x). The displacement u(x) is governed by the following equations: ( d dx (σ(x)) + ρa(x) = 0 PDE σ(x) = E du dx Hooke’s law (2) where σ(x) is the axial stress in the rod, ρ is the mass density, and E is the (constant) Young’s modulus. The bar is pinned on the rotation axis at x = 0 and it is also pinned at x = L.
Determine:1. Appropriate BCs for this physical problem.2. The displacement function u(x).3. The stress function σ(x).
Chapter 7 Solutions
Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
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