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COSMOS: Complete Online <strong>Sol</strong>utions Manual Organization System<br />
Chapter 2, <strong>Sol</strong>ution 1<strong>02</strong>.<br />
See Problem 2.101 for the figure and the analysis leading to the linear algebraic Equations (1), (2), and (3)<br />
below.<br />
T<br />
T<br />
AB<br />
AC<br />
⎛5⎞⎛25⎞<br />
= ⎜ T<br />
⎝ ⎟⎜ ⎟<br />
3⎠⎝43⎠<br />
AD<br />
⎛17⎞⎛18⎞<br />
= ⎜ T<br />
⎝ ⎟⎜ ⎟<br />
8 ⎠⎝43⎠<br />
AD<br />
(1)<br />
(2)<br />
From Equation (1)<br />
From Equation (3)<br />
255<br />
0.8TAB<br />
+ TAD<br />
− W = 0<br />
(3)<br />
172<br />
T AB<br />
⎛5⎞⎛25⎞<br />
= ⎜<br />
⎝ ⎟⎜ ⎟<br />
3⎠⎝43⎠<br />
( 4.3 kN)<br />
or<br />
T AB =<br />
4.1667 kN<br />
255<br />
0.8( 4.1667 kN) + ( 4.3 kN)<br />
− W = 0<br />
172<br />
∴ W = 9.71 kN !<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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