Question

Three-Dimensional Force Systems cable AC Part A Finding the tension Learning Goal: weight of 115 lb acts at C on the strut. Find the magnitude of the tension in cable AC To apply the condition of equilibrium to three-dimensional systems and solve for unknown forces. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) As shown, a mass is being lifted by a strut that is supported by two cables AC and CD. The dimensions given are a =8.10 ft, .90 ft, c 9.50 ft, d 3.70 ft, and e =4.70 ft.(Figure 1) TAC 85.049 Previous Answers Submit XIncorrect; Try Again Part B-Finding the unknown weight Figure 1 of 1 What is the weight of an unknown hanging mass when the compressive force in strut BC is 605 lb? Express your answer to three significant figures and include the appropriate units. View Available Hint(s) W=310.486 Previous Answers Submit Part C- Finding the maximum weight| Find the maximum weight that the cable and strut system can support if the magnitude of the compressive force in the strut cannot exceed 1100 lb and the magnitude of tension in the cables cannot exceed 300 lb Express your answer to three significant figures and include the appropriate units. View Available Hint(s) ? 403.938 lb mar Previous Answers Submit Incorrect; Try Again

Answer 1

Ouas) 3.70 -(8.10+3.90) -g.50K 9 5o R 3.7o1-123 3.90j9.50R 4 70 T-(8.1o+3.90)- 9. soR 9.5oR ニ -4702-127 W -5 R rcA TeA=CA RA EA (0.235t-0 762- 0.603 R) TBC TBC ec 380.925) Srep + TCD TeD (0 293-0 75j - 0 O 593 Equating Coafiients 0.235TA- 0 293TCD O -0.762 TCA +0 38 Ter --O75 TcD + O. 925 TRc O. SY3 TCD O O 603 T -115

equations above TA= 533 lb TBC 84 18b TCD = 41- 17b W 605 Tec x 14-5 47 6. 3b W Wmox, Bc x \ 4-5 866 b TBc 300 Wmox, Cable x \45 (TA TCD) mox 30 O x14 S 51.33 Wmxcable 847.457b Mt is een that able ven to Wmor847 457 b