Engineering Mechanics: Statics & Dynamics (14th Edition)

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

Chapter 2 - Force Vectors - Section 2.6 Addition of Cartesian Vectors - Problems - Page 52: 60

Answer

$δ=60.0$ $F_{x}=40.0lb$ $F_y=56.6lb$ $F_z=40.0lb$

Work Step by Step

$Using $ $Cosx^{2}α+Cos^2ß+Cos^2δ=1$ $Cos^260+Cos^245+Cos^2δ=1$ $δ=60.0$ $F_x=FCosα=80Cos60=40.0lb$ $F_y=FCosß=80Cos45=56.6lb$ $F_z=FCosδ=80Cos60=40.0lb$
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