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 143: 45

Answer

$$ \begin{aligned} & y=2 \mathrm{~m} \\ & z=1 \mathrm{~m} \end{aligned} $$

Work Step by Step

$$ \begin{aligned} \mathbf{M}_o & =\mathbf{r} \times \mathbf{F} \\ 4 \mathbf{i}+5 \mathbf{j}-14 \mathbf{k} & =\left|\begin{array}{ccc} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ 1 & y & z \\ 6 & -2 & 1 \end{array}\right| \\ 4 & =y+2 z \\ 5 & =-1+6 z \\ -14 & =-2-6 y \\ y & =2 \mathrm{~m} \\ z & =1 \mathrm{~m} \end{aligned} $$
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