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COSMOS: Complete Online <strong>Sol</strong>utions Manual Organization System<br />
Chapter 2, <strong>Sol</strong>ution 58.<br />
Free-Body Diagram At A:<br />
First Note ...<br />
2 2<br />
With L = ( 22 in. ) + ( 16.5 in. )<br />
AB<br />
L AB =<br />
AD<br />
L AD =<br />
F = k L − L<br />
Then AB AB ( AB O )<br />
(a) F x 0:<br />
27.5 in.<br />
( 30 in. ) ( 16 in. )<br />
L = +<br />
34 in.<br />
2 2<br />
= ( 9 lb/in. )( 27.5 in. − 22.5 in. )<br />
= 45 lb<br />
= ( − )<br />
= ( 3 lb/in. )( 34 in. − 22.5 in. )<br />
F k L L<br />
AD AD AD O<br />
= 34.5 lb<br />
4 7 15<br />
− 45 lb + T AC + 34.5lb = 0<br />
5 25 17<br />
or T = 19.8529 lb<br />
Σ = ( ) ( )<br />
(b) F y 0:<br />
Σ = ( ) ( ) ( )<br />
AC<br />
3 24 8<br />
45 lb + 19.8529 lb + 34.5 lb − W = 0<br />
5 25 17<br />
T = 19.85 lb !<br />
AC<br />
W = 62.3 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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