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COSMOS: Complete Online <strong>Sol</strong>utions Manual Organization System<br />
Chapter 2, <strong>Sol</strong>ution 56.<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 5<br />
+ 5TBC<br />
= 750<br />
(1)<br />
4 8 8<br />
Σ F y = 0: TAC<br />
+ TBC<br />
− ( 150 lb ) − W = 0<br />
5 17 17<br />
or<br />
17 17<br />
TAC<br />
+ 2TBC<br />
= 300 + W<br />
5 4<br />
(2)<br />
Adding Equations (1) and (2) gives<br />
17<br />
7TBC<br />
= 1050 + W<br />
4<br />
or<br />
17<br />
TBC<br />
= 150 + W<br />
28<br />
Using Equation (1)<br />
17 ⎛ 17 ⎞<br />
− TAC<br />
+ 5 150 W 750<br />
5<br />
⎜ + =<br />
28<br />
⎟<br />
⎝ ⎠<br />
or<br />
25<br />
TAC<br />
= W<br />
28<br />
Now for T ≤ 240 lb ⇒<br />
25<br />
TAC<br />
:240=<br />
W<br />
28<br />
or<br />
W = 269 lb<br />
17<br />
TBC<br />
: 240 = 150 + W<br />
28<br />
or<br />
W = 148.2 lb<br />
Therefore 0 ≤ W ≤ 148.2 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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