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 164: 86

Answer

$$ \begin{aligned} & M_2=424 \mathrm{~N} \cdot \mathrm{m} \\ & M_3=300 \mathrm{~N} \cdot \mathrm{m} \end{aligned} $$

Work Step by Step

$$ \begin{array}{ll} \left(M_R\right)_y=\Sigma M_y ; & 0=M_2 \sin 45^{\circ}-300 \\ & M_2=424.26 \mathrm{~N} \cdot \mathrm{m}=424 \mathrm{~N} \cdot \mathrm{m} \\ \left(M_R\right)_x=\Sigma M_x ; & 0=424.26 \cos 45^{\circ}-M_3 \\ & M_3=300 \mathrm{~N} \cdot \mathrm{m} \end{array} $$
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