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COSMOS: Complete Online <strong>Sol</strong>utions Manual Organization System<br />
Chapter 2, <strong>Sol</strong>ution 48.<br />
Free-Body Diagram At B:<br />
12 17<br />
Σ Fx = 0: − TBA + TBC<br />
= 0<br />
13 293<br />
or T = 1.07591 T<br />
BA<br />
BC<br />
Σ F y =<br />
T<br />
T<br />
T<br />
0:<br />
BC<br />
BC<br />
BC<br />
or<br />
5 2<br />
TBA<br />
+ TBC<br />
− 300 N = 0<br />
13 293<br />
⎛ 5 ⎞ 293<br />
= ⎜300<br />
− TBA<br />
⎟<br />
⎝ 13 ⎠ 2<br />
= 2567.6 − 3.2918T<br />
BA<br />
( T )<br />
= 2567.6 − 3.2918 1.07591<br />
T BC =<br />
565.34 N<br />
BC<br />
Free-Body Diagram At C:<br />
17 24<br />
Σ F x = 0: − T 0<br />
293<br />
BC + T<br />
25<br />
CD =<br />
T CD<br />
17 ⎛25<br />
⎞<br />
= ( 565.34 N)<br />
⎜ 293<br />
24<br />
⎟<br />
⎝ ⎠<br />
T CD =<br />
584.86 N<br />
2 7<br />
Σ F y = 0: − T 0<br />
293<br />
BC + T<br />
25<br />
CD − W C =<br />
2 7<br />
W C =− +<br />
293<br />
25<br />
( 565.34 N) ( 584.86 N)<br />
or<br />
W = 97.7 N !<br />
C<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.