PROBLEM 5-82 (page 257. 12th edition) Member AB is supported at B by a cable and at A by a smooth fixed square rod which fits loosely through the square hole of the collar. . Determine the x, y, z components of reaction at A and the tension in the cable when F = (20i [ 40 ] [ 75k )lb . 8 ft C 6 ft y 12 ft B 4 ft F PROB05_82-83.jpg Copyright @ 2010 Pearson Prentice Hall, Inc.
5-82 (page 256, 12th edition) COMPLETION OF PROBLEM (page 1): FORCES AND COUPLE MOMENT · Forces and couple moment (suppressing units) FA = Ai+ Aj MA = M i + M j + M k ? ? ? ? F BC .= (012 i + 4j + 6k)X U ? ? F = 201 040 j 0 75 k X = F/ 122 + 42 + 62
5-82 (page 257, 12th edition) COMPLETION OF PROBLEM (page 2): EQUATIONS OF EQUILIBRIUM · Cartesian component force equations of equilibrium: IF =0: x A 112X+20 =0 EF = 0: y y A +4X040 =0 IF =0: 6X175 =0 Z X = F BC V42 +122+62 · Vector moment equation of equilibrium at point B: = (Mp)p = I M+1 (Tl F) i 012 04- 0 0 0 =M i + M j + M k + Z j k i j + * 0 4 0 A, A `y 0 20 40 75 · Cartesian component moment equations of equilibrium: k =0 IM =0: X M +(14)(175) =0 M =0; y M =0 y IM =0: `z M_112A 1 (14)A 12Q(14)=0 ZZ y