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Sol Cap 02 - Edicion 8

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COSMOS: Complete Online <strong>Sol</strong>utions Manual Organization System<br />

Chapter 2, <strong>Sol</strong>ution 136.<br />

(a) F Fcosθ<br />

( )<br />

Then:<br />

z<br />

= = 600 lb cos136.8°<br />

z<br />

=− 437.38 lb<br />

F =− 437 lb !<br />

2 2 2 2<br />

= x + y + z<br />

F F F F<br />

z<br />

2 2 2<br />

2<br />

F y<br />

So: ( 600 lb) = ( 200 lb) + ( ) + ( − 437.38 lb)<br />

2 2 2<br />

Hence: F =− ( 600 lb) −( 200 lb) −( − 437.38 lb)<br />

y<br />

=− 358.75 lb<br />

F =− 359 lb !<br />

y<br />

(b)<br />

Fx<br />

200<br />

cosθ x = = = 0.33333<br />

θ x = 70.5°!<br />

F 600<br />

Fy<br />

−358.75<br />

cosθ<br />

y = = = − 0.59792 θ y = 126.7°!<br />

F 600<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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