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COSMOS: Complete Online <strong>Sol</strong>utions Manual Organization System<br />
From Equation (1)<br />
⎛14.6 ⎞⎛2<br />
⎞<br />
FBA<br />
= ⎜ F<br />
11 ⎟⎜<br />
3 ⎟<br />
⎝ ⎠⎝ ⎠<br />
⎛14.6 ⎞⎛2<br />
⎞<br />
29.2 lb = ⎜<br />
11<br />
⎟⎜<br />
3<br />
⎟<br />
⎝ ⎠⎝ ⎠<br />
DA<br />
F DA<br />
or<br />
F =<br />
DA<br />
33lb<br />
<strong>Sol</strong>ving Eqn. (3) for F CA gives:<br />
F<br />
CA<br />
⎛5<br />
⎞<br />
= ⎜ F<br />
9 ⎟<br />
⎝ ⎠<br />
DA<br />
F CA<br />
⎛5<br />
⎞<br />
= ⎜<br />
9 ⎟<br />
⎝ ⎠<br />
( 33 lb)<br />
Substituting into Eqn. (2) for FBA, FDA,<br />
andF CA in terms of F DA gives:<br />
⎛ 9.6 ⎞ ⎛4 ⎞⎛5 ⎞ ⎛2<br />
⎞<br />
⎜ ( 29.2 lb) ( 33 lb) ( 33 lb)<br />
P 0<br />
14.6<br />
⎟ + ⎜ + − =<br />
5<br />
⎟⎜<br />
9<br />
⎟ ⎜<br />
3<br />
⎟<br />
⎝ ⎠ ⎝ ⎠⎝ ⎠ ⎝ ⎠<br />
∴<br />
P = 55.9 lb "<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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