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COSMOS: Complete Online <strong>Sol</strong>utions Manual Organization System<br />
Chapter 2, <strong>Sol</strong>ution 47.<br />
Free-Body Diagram:<br />
(a) Σ F x = 0: − TAB<br />
cos30° + Rcos65° = 0<br />
cos30<br />
R =<br />
° T AB<br />
cos65°<br />
Σ = 0: − T sin 30° + Rsin 65° − ( 550 N)<br />
= 0<br />
F y<br />
AB<br />
T AB<br />
⎛ cos30°<br />
⎞<br />
⎜− sin 30° + sin 65° − 550 = 0<br />
cos65°<br />
⎟<br />
⎝<br />
⎠<br />
or<br />
T = 405 N !<br />
AB<br />
cos30°<br />
cos65°<br />
(b) R = ( 450 N )<br />
or<br />
R = 830 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.