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COSMOS: Complete Online <strong>Sol</strong>utions Manual Organization System<br />
Chapter 2, <strong>Sol</strong>ution 86.<br />
(a) Have F = Fcosθ<br />
x<br />
x<br />
( )<br />
F = 320 N cos104.5°<br />
x<br />
F =− 80.122 N<br />
x<br />
F =− 80.1 N !<br />
x<br />
Then:<br />
2 2 2 2<br />
= x + y + z<br />
F F F F<br />
2<br />
( 320 N) = ( − 80.122 N) + + ( − 120 N)<br />
2 2 F 2<br />
y<br />
F y =<br />
285.62 N<br />
F = 286 N !<br />
y<br />
(b)<br />
cosθ =<br />
y<br />
cosθ =<br />
y<br />
F<br />
y<br />
F<br />
285.62 N<br />
320 N<br />
θ = 26.8°!<br />
y<br />
cosθ =<br />
z<br />
Fz<br />
F<br />
cos<br />
θ z<br />
=<br />
−120 N<br />
320 N<br />
θ = 112.0°!<br />
z<br />
Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr.,<br />
Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell<br />
© 2007 The McGraw-Hill Companies.
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