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COSMOS: Complete Online <strong>Sol</strong>utions Manual Organization System<br />
Chapter 2, <strong>Sol</strong>ution 96.<br />
AB<br />
!!!"<br />
AB =− i + j + k<br />
( 600 mm) ( 360 mm) ( 270 mm)<br />
( ) ( ) ( )<br />
2 2 2<br />
AB = − 600 mm + 360 mm + 270 mm = 750 mm<br />
AB = 750 mm<br />
!!!"<br />
AC =− 600 mm i + 320 mm j − 510 mm k<br />
( ) ( ) ( )<br />
( ) ( ) ( )<br />
2 2 2<br />
AC = − 600 mm + 320 mm + − 510 mm = 850 mm<br />
AC = 850 mm<br />
!!!"<br />
T AB 765 N<br />
AB = TAB<br />
= ⎡− ( 600 mm) + ( 360 mm) + ( 270 mm)<br />
⎤<br />
AB 750 mm<br />
⎣ i j k ⎦<br />
( 612 N) ( 367.2 N) ( 275.4 N)<br />
T AB =− i + j + k<br />
!!!"<br />
T AC 510 N<br />
AC = TAC<br />
= ⎡− ( 600 mm) + ( 320 mm) − ( 510 mm)<br />
⎤<br />
AC 850 mm<br />
⎣ i j k ⎦<br />
( 360 N) ( 192 N) ( 306 N)<br />
T AC =− i + j − k<br />
AC<br />
( 972 N) ( 559.2 N) ( 30.6 N)<br />
R = T + T = − i + j − k<br />
Then<br />
R = 1121.80 N<br />
R = 1122 N !<br />
−972 N<br />
cosθ x = θ x = 150.1°!<br />
1121.80 N<br />
559.2 N<br />
cosθ y = θ y = 60.1°!<br />
1121.80 N<br />
−30.6 N<br />
cosθ z = θ z = 91.6°!<br />
1121.80 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.
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