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: 6

Answer

$$ \begin{aligned} & M_P=341 \text { in. } \cdot \mathrm{lb} (Counterclockwise)\\ & M_F=403 \mathrm{in.} \cdot \mathrm{lb} (Clockwise) \end{aligned} $$

Work Step by Step

$$ \begin{aligned} & C+M_P=25\left(14 \cos 20^{\circ}+1.5 \sin 20^{\circ}\right)=341 \text { in } \cdot \mathrm{lb}(\text { Counterclockwise) } \\ & C+M_F=155 \sin 60^{\circ}(3)=403 \mathrm{in} \cdot \mathrm{lb}(\text { Clockwise }) \end{aligned} $$ Since $M_F>M_P, \quad P=25 \mathrm{lb}$ It is not sufficient to pull out the nail.
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