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 4.4 - Principle of Moments - Problems - Page 138: 8

Answer

$\begin{aligned} & M_B=150 \mathrm{~N} \cdot \mathrm{m} 3 \\ & M_B=600 \mathrm{~N} \cdot \mathrm{m} 3 \\ & M_B=0\end{aligned}$

Work Step by Step

The forces are resolved into horizontal and vertical componen For $\mathbf{F}_1$, $ \begin{aligned} ↺+M_B & =250 \cos 30^{\circ}(3)-250 \sin 30^{\circ}(4) \\ & =149.51 \mathrm{~N} \cdot \mathrm{m}=150 \mathrm{~N} \cdot \mathrm{m}) \end{aligned} $ For $\mathbf{F}_2$, $ \begin{aligned} ↺+M_B & =300 \sin 60^{\circ}(0)+300 \cos 60^{\circ}(4) \\ & =600 \mathrm{~N} \cdot \mathrm{m} \text { ) } \end{aligned} $ Since the line of action of $\mathbf{F}_3$ passes through $B$, its moment arm about point $B$ is zero. Thus $ M_B=0 $
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