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COSMOS: Complete Online <strong>Sol</strong>utions Manual Organization System<br />
Chapter 2, <strong>Sol</strong>ution 116.<br />
( ) ( ) ( )<br />
2 2 2<br />
d = 6m + 6m + 3m = 9m<br />
BA<br />
( ) ( ) ( )<br />
2 2 2<br />
d = − 10.5 m + − 6 m + − 8 m = 14.5 mm<br />
AC<br />
( ) ( ) ( )<br />
2 2 2<br />
d = − 6m + − 6m + 7m = 11mm<br />
AD<br />
( ) ( )<br />
2 2<br />
d = 6m + − 4.5m = 7.5m<br />
AE<br />
F<br />
F BA = FBAλBA<br />
=<br />
BA ⎡ ( 6m) + ( 6m) + ( 3m)<br />
⎤<br />
9m<br />
⎣ i j k ⎦<br />
AC = TACλAC<br />
2 2 1<br />
= F ⎛ BA ⎜ i + j + k<br />
⎞<br />
⎟<br />
⎝3 3 3 ⎠<br />
T AC<br />
T = ⎡−( 10.5 m) − ( 6 m) − ( 8 m)<br />
AD = TADλAD<br />
14.5 m<br />
⎣<br />
21 12 16<br />
= T ⎛ AC ⎜− i − j − k<br />
⎞<br />
⎟<br />
⎝ 29 29 29 ⎠<br />
T AD<br />
i j k ⎦<br />
⎤<br />
T = ⎡−( 6m) − ( 6m) + ( 7m)<br />
AE = WAEλAE<br />
11 m<br />
⎣<br />
i j k ⎤<br />
⎦<br />
⎛ 6 6 7 ⎞<br />
= T AD ⎜− i − j + k ⎟<br />
⎝ 11 11 11 ⎠<br />
W ⎡ ⎤<br />
7.5 m<br />
⎣<br />
j ⎦<br />
W = ( 6 m) i − ( 4.5 m)<br />
W<br />
O<br />
( 0.8i<br />
0.6j<br />
)<br />
= W −<br />
=−W<br />
At point A: Σ F =0: F + T + T + W + W 0<br />
BA AC AD AE O =<br />
j<br />
i component:<br />
2 21 6<br />
FBA − TAC − TAD<br />
+ 0.8W<br />
= 0<br />
(1)<br />
3 29 11<br />
continued<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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