Question

4. (25%) Three cables are used to restrain a balloon as shown. Knowing that the tension in cable AB is 480 N, determine the vertical force exerted by the balloon at A, and the tension forces in cables AC and AD 5.60 m B D 40 m 0 3.30 m 4.20 m 2.40 m x

Answer 1

• The problem can be solved by equation of equilibriums
• Please let me know if any clarrifications needed

. . O2 is the angle of . Here, O, is the angley TAB between Yand Z arcis TAC with Ao and oc is the angle of with me and I weis ou is the angle og TAC with Yand z avers Os is the angle of Tac with X anel z quis 0 13 TAD

Criven TAB = 480N F TAB A TAD 102 2) For ty equilibrium consider EFZZ Fz TAB sin 0, + TAC sin Oz + TAD sinos Opz tan /5.6 42 012 53.13° Oq=tan's 5.6 (2:4+(239) z 99.179 Oztañ' /5.6 59.48 bile mot G2,937 z 3.3 so Fz 480x fin 53:13 7 Tacsin 49:17 +Tap fin 59.48 Fz 383.99 + 0.756 Tact 0.861 TAD (1) EF, Z TAD Cor Og & Tac Cas Os 05 : tani" (3) 0 Osa tan/5.6 2 53.12 TAD Cor 59.482 TAC Cos 53.12 TADZ 1181 TAC - ci) 2) { Fy z TAC cos 042 TAB CO₂ Ouz tan /5.6 z66.8

TAC Cos 66.82 TAB Cor 49.17 2 796.64N THC 2 480 X 49:17 com 66.8 from cij TADZ 940083 from cij Fz 383.997 0.756X796.647 0.8614940-83 Fz 1796.3N