Question

Part A-Finding the tension in cable AC A weight of 175 lb acts at C on the strut. Find the magnitude of the tension in cable AC. Learning Goal: Express your answer to three significant figures and include the appropriate units. To apply the condition of equilibrium to three- dimensional systems and solve for unknown forces. 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 8.30 ft, b= 4.30 ft, c 9.90 ft, d 3.70 ft, and e 4.70 ft. (Figure 1) ? Units Value TAC= Submit Part B Finding the unknown weight What is the weight of an unknown hanging mass when the compressive force 615 lb? strut BC is Express your answer to three significant figures and include the appropriate units. View Available Hint(s) HA Value Units W = Submit Figure 1 of 1 Part C - Finding the maximum weight Find the maximum weight that the cable and strut system can support if the magnitude of the compressive foro cannot exceed 300 e strut cannot exceed 1100 lb and the magnitude of tension in the cables lb D Express your answer to three significant figures and include the appropriate units. View Available Hint(s) ? Value Units Wmax=

Answer 1

So Positicn Vecos d- Catb)3 A3-712.63-44 R- 317- (343 q.q ? ck 43.4 b b Catb)-c 4- 127- q4 -ei- TCA C3-26-49R) 3-74 G126 4 C-94 (S% O225 TCA - 0 766 TCA - 0 602 TCA FBc FBC C437 R) FBC 9.q 4.3 q9 Tep PcD (-4-7 (-12-6 -9 O.28) TcD i - o-154 Tco J - o-5q3 Tco = -IT5 K Cb) CA FBC tTc t W = o 0417 FBC Tak o 398 FBCJt TCAJ O225 TCA -O602 -0.76 K-115 . Tcp - o543 TCD to281 TCD -0.754

, Ten) O 225 TCA- o281 -o.766 TCA 0.393 Fc- Oo754 t(-0602 TCA t o.q1 FBc- o593 Tep- I75) =o Now O 225 TCA O 281 Tco - O o 754 TcDO -OT66 TCA t o3q8 Fac - o-602 TCA 4 o.q17 FR- o.593TCD- 175 -0 Simelt areus ly al equati ans Sdve 28q. 63 lb,TcD = 61.4 1b Fec TCA 84.11 lb G15 lb Guin FBc 615 615 xT5 W = x75 FBC 289.68 W = 3TI-53 Ib Cannot n he Strut Gre magritude af he ampesave erce loo b magnitude of tension in lhe Cables cannot exceed 300lh exceed Ioo x175 615 Woax-pc FCB 313 b W 'max-BC 30 O X 175 Wmat- cale C84-11,67) mak CTATep) max 300 xlT5 6e8.74 lb Nmak 313 b