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COSMOS: Complete Online <strong>Sol</strong>utions Manual Organization System<br />
Chapter 2, <strong>Sol</strong>ution 125.<br />
( ) ( ) ( )<br />
2 2 2<br />
d = − 2.7 m + 2.4 m + − 3.6 m = 5.1 m<br />
AB<br />
( ) ( )<br />
2 2<br />
d = 2.4 m + 1.8 m = 3 m<br />
AC<br />
( ) ( ) ( )<br />
2 2 2<br />
d = 1.2 m + 2.4 m + − 0.3 m = 2.7 m<br />
AD<br />
( ) ( ) ( )<br />
2 2 2<br />
d = − 2.4 m + 2.4 m + 1.2 m = 3.6 m<br />
AE<br />
T AB = TABλAB<br />
T AB<br />
( 2.7 m) ( 2.4 m) ( 3.6 m)<br />
= ⎡− + − ⎤<br />
5.1 m ⎣ i j k ⎦<br />
9 8 12<br />
= T ⎛ AB ⎜− i + j − k<br />
⎞<br />
17 17 17<br />
⎟<br />
⎝<br />
⎠<br />
T AC = TACλAC<br />
T<br />
T AC<br />
( 2.4 m) j ( 1.8 m)<br />
= ⎡ +<br />
3m<br />
⎣<br />
T AC<br />
( 0.8j<br />
0.6k<br />
)<br />
= +<br />
= 2T<br />
λ<br />
AD ADE AD<br />
T ADE<br />
k ⎤<br />
⎦<br />
2<br />
= ⎡( 1.2 m) + ( 2.4 m) − ( 0.3 m)<br />
⎤<br />
2.7 m<br />
⎣ i j k ⎦<br />
⎛ 8 16 2 ⎞<br />
= T ADE ⎜ i + j − k<br />
9 9 9<br />
⎟<br />
⎝<br />
⎠<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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