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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 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.

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