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COSMOS: Complete Online <strong>Sol</strong>utions Manual Organization System<br />
j component:<br />
4 28 56<br />
− TAB − TAC − TAD<br />
+ P = 0<br />
5 37 65<br />
4 28 56⎛65 7 ⎞<br />
− TAB − TAC − ⎜ ⋅ TAC<br />
+ P = 0<br />
5 37 65⎝<br />
⎟<br />
11 37 ⎠<br />
4 700<br />
− TAB<br />
− TAC<br />
+ P = 0<br />
(2)<br />
5 407<br />
k component:<br />
21 33<br />
TAC<br />
− TAD<br />
= 0<br />
37 65<br />
or<br />
T<br />
AD<br />
⎛65⎞⎛ 7 ⎞<br />
= ⎜ T<br />
⎝ ⎟⎜ ⎟<br />
11⎠⎝37⎠<br />
AC<br />
(3)<br />
From Equation (1):<br />
⎛20⎞<br />
259 N = ⎜ TAC<br />
⎝<br />
⎟ 37 ⎠<br />
or T AC = 479.15 N<br />
4 700<br />
− 259 N − 479.15 N + P = 0<br />
5 407<br />
From Equation (2): ( ) ( )<br />
∴ P =1031 N !<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.