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: 7

Answer

$T=30.5lb$ $\theta=20^{\circ}$

Work Step by Step

First we will sum the forces along rope D $(\searrow +) \sum \overrightarrow{F}_{x} =0 $ $60\cos10^{\circ}-T-T\cos\theta =0$ Now we will sum the forces perpendicularly to rope D $(\nearrow +) \sum \overrightarrow{F}_{y} =0 $ $T\sin\theta-60\sin10^{\circ}$ Solving the system of two equations, we obtain : $T=30.5lb$ $\theta=20^{\circ}$
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