Question

The collar at B can freely move along the length of rod AC. Cable BD holds the collar in place while a load of P = 960 lbf is applied to the collar. Given that the angles of a and are 16° and 36", respectively, determine the tension in the cable and the reaction force applied to the collar by rod AC. (Hint: Though the collar can freely move along the length of the rod, the rod still applies a force normal to the rod.) TIT VP Image is not drawn to scale. tension of cable BD = reaction force from rod AC = be sure to include units with your answers

Answer 1

CC Solution Greven data load (P) = 960 lbf 2:16 B: 36° Find Too = ? FAC = ? ny y ? go Free body diagram of collar

The three faces act on the collar must form triangle graphically Draw vector diagram of foces from Free body diagram FAC VW 90+A 0380 60 A +1B+16 : 180° (90+B) + 0 +2=1800 0 = 180-2-(90+B) 180-16-(90+36) je = 380)

I use sine law for calculating faces From triangle ABC TAD P . TBD sin (28) sin6) TBD = p sin(16) Sin (38 ) TBD = (960) x 0.4477 | TBP = 429-8 lbs / Celaulat reaction face. FAC SinA Sin B - FAC - L sin (90+36) Sin (38) sin (26) Sin (38) FAC =

FAC = 960 x 1.314 1261.498 FAC= 1261-498 lbf Jens Tension of cable 80 (Ten) = 429.8 Cho Thus Reaction boce from sred Ac Fac = 1261.498eb6Ans
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