Engineering Mechanics: Statics & Dynamics (14th Edition)

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

Chapter 3 - Equilibrium of a Particle - Section 3.3 - Coplanar Force Systems - Problems - Page 104: 42

Answer

$W_B=18.3 \mathrm{lb}$

Work Step by Step

$$ \theta=\sin ^{-1}\left(\frac{0.5}{1.25}\right)=23.58^{\circ} $$ Equations of Equilibrium: $$ \begin{array}{cc} \pm \Sigma F_x=0 ; & 10 \sin 23.58^{\circ}-10 \sin 23.58^{\circ}=0 \quad \text { } \\ +\uparrow \Sigma F_y=0 ; & 2(10) \cos 23.58^{\circ}-W_B=0 \\ W_B=18.3 \mathrm{lb} \end{array} $$
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