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COSMOS: Complete Online <strong>Sol</strong>utions Manual Organization System<br />
uuur<br />
T AD TAD<br />
AD = Tλ<br />
AD = TAD<br />
= ⎡( 25 in. ) − ( 48 in. ) − ( 36 in. ) ⎤<br />
AD 65 in.<br />
⎣ i j k ⎦<br />
AD<br />
AD<br />
With W = Wj , at A we have:<br />
( 0.38461 0.73846 0.55385 )<br />
T = T i − j − k<br />
Σ F = 0: T + T + T + j = 0<br />
AB AC AD W<br />
Equating the factors of i, j, and k to zero, we obtain the linear algebraic equations:<br />
i : − 0.47059T + 0.60T − 0.38461T<br />
= 0<br />
(1)<br />
AB AC AD<br />
j : −0.70588T − 0.64T − 0.73846T + W = 0<br />
(2)<br />
AB AC AD<br />
k : 0.52941T + 0.48T − 0.55385T<br />
= 0<br />
(3)<br />
AB AC AD<br />
In Equations (1), (2) and (3), set T AD = 120 lb, and, using conventional methods for solving Linear Algebraic<br />
Equations (MATLAB or Maple, for example), we obtain:<br />
T AB =<br />
T AC =<br />
32.6 lb<br />
1<strong>02</strong>.5 lb<br />
W = 177.2 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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