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COSMOS: Complete Online <strong>Sol</strong>utions Manual Organization System<br />
Chapter 2, <strong>Sol</strong>ution 55.<br />
Free-Body Diagram At C:<br />
3 15 15<br />
Σ F x = 0: − TAC<br />
+ TBC<br />
− ( 150 lb ) = 0<br />
5 17 17<br />
or<br />
17<br />
− TAC + 5TBC<br />
= 750<br />
(1)<br />
5<br />
4 8 8<br />
Σ F y = 0: TAC<br />
+ TBC<br />
− ( 150 lb ) − 190 lb = 0<br />
5 17 17<br />
or<br />
17<br />
T<br />
5<br />
+ 2T<br />
= 1107.5<br />
(2)<br />
AC BC<br />
Then adding Equations (1) and (2)<br />
7T BC = 1857.5<br />
or<br />
T BC =<br />
265.36 lb<br />
Therefore (a) T AC = 169.6 lb !<br />
(b)<br />
T = 265 lb !<br />
BC<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.