As shown, a 3.1-lb ball is suspended at point D inside a box with dimensions w=9.50 ft, d=6.50 ft, and h=4.50 ft. The ball is held in place by three cables anchored at points A,B, and C on the surface of the box.
If point D is the origin of the Cartesian coordinate system, point A is located at (?4.30,?3.60,2.80) ft, point B is located at (2.20,?3.60,1.70) ft, and point C is located at (2.20,5.90,?1.70) ft.
1) Determine the tension in cable DA has a magnitude of TDA=8.39 lb. Find the Cartesian components of tension TDA, which is directed from D to A.
2) If the tensions in cables DA and DB are TDA=8.39 lb and TDB=5.08 lb, respectively, what is the tension in cable DC?