Question

As shown, a 2.9-lb ball is suspended at point D inside a box .30 ft d 6.70 ft, and 4.10 ft. The ball is held in place by three cables anchored at points A, B, and C on the surface of the box. with dimensions w 9 If point D is the origin of the Cartesian coordinate system, point A is located at (-4.40,-3.50,2.30) ft, point B is located at (2.30,-3.50,1.80) ft, and point C is located at (2.30,5.80,-1.80) ft.

If the tensions in cables DA and DB are TDA=9.80 lb and TDB=6.01 lb, respectively, what is the tension in cable DC?

Express your answer to three significant figures and include the appropriate units.

Answer 1

9.86 -943+C-3. 023) 6134,3 S, 2.30 C9-S-64 62 3 6132 1pA 5,6962 ) 3.冽 Tp - Te (2.3,-3.5, 1.9 6.Oi 31f (3. 0323 , 4.6144 2.3 31) 2.9-3.1チー2.3131) z (4O GS, o. 2606,2 6431)