Engineering Mechanics: Statics & Dynamics (14th Edition)

Published by Pearson
ISBN 10: 0133915425
ISBN 13: 978-0-13391-542-6

Chapter 4 - Force System Resultants - Section 4.6 - Moment of a Couple - Problems - Page 165: 90

Answer

$$ M_C=45.1 \mathrm{~N} \cdot \mathrm{m} $$

Work Step by Step

$$ \begin{aligned} & \mathbf{M}_C=\mathbf{r}_{A B} \times(125 \mathbf{k}) \\ & \mathbf{M}_C=(0.2 \mathbf{i}+0.3 \mathbf{j}) \times(125 \mathbf{k}) \\ & \mathbf{M}_C=\{37.5 \mathbf{i}-25 \mathbf{j}\} \mathrm{N} \cdot \mathrm{m} \\ & M_C=\sqrt{(37.5)^2+(-25)^2}\\&=45.1 \mathrm{~N} \cdot \mathrm{m} \end{aligned} $$
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