Learning Goal: To determine Cartesian force components from magnitude and determine position and resultant vectors by summing Cartesian components. As shown, a 2.9-lb ball is suspended at point D inside a box with dimensions w = 9.30 ft, d= 6.40 ft, and h = 4.30 ft. The ball is held in place by three cables anchored at points A, B, and Con the surface of the box. D d point D is the origin of the Cartesian coordinate system, point A is located at (-4.70, -3.80, 2.50) ft, point B is located at (1.70, -3.80, 1.70) ft, and point C is located at (1.70, 5.50,-1.80) ft. If Part A - Determining Cartesian components of force The tension in cable DA has a magnitude of TDA = 10.4 lb. Find the Cartesian components of tension TDA, which is directed from D to A. Express your answers, separated by commas, to three significant figures. View Available Hint(s) TDA = IVE ΑΣΦ | 1 -4.70,-3.80,2.50 Submit Previous Answers vec X Incorrect; Try Again; 5 attempts remaining Part B - Determining an unknown force ? i lb, j lb, k lb If the tensions in cables DA and DB are TDA= 10.4 lb and TDB = 8.81 lb, respectively, what is the tension in cable DC? Express your answer to three significant figures and include the appropriate units. View Available Hint(s)
Learning Goal: To determine Cartesian force components from magnitude and determine position and resultant vectors by summing Cartesian components. As shown, a 2.9-lb ball is suspended at point D inside a box with dimensions w = 9.30 ft, d= 6.40 ft, and h = 4.30 ft. The ball is held in place by three cables anchored at points A, B, and Con the surface of the box. D d point D is the origin of the Cartesian coordinate system, point A is located at (-4.70, -3.80, 2.50) ft, point B is located at (1.70, -3.80, 1.70) ft, and point C is located at (1.70, 5.50,-1.80) ft. If Part A - Determining Cartesian components of force The tension in cable DA has a magnitude of TDA = 10.4 lb. Find the Cartesian components of tension TDA, which is directed from D to A. Express your answers, separated by commas, to three significant figures. View Available Hint(s) TDA = IVE ΑΣΦ | 1 -4.70,-3.80,2.50 Submit Previous Answers vec X Incorrect; Try Again; 5 attempts remaining Part B - Determining an unknown force ? i lb, j lb, k lb If the tensions in cables DA and DB are TDA= 10.4 lb and TDB = 8.81 lb, respectively, what is the tension in cable DC? Express your answer to three significant figures and include the appropriate units. View Available Hint(s)
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Step 1: Know the concept:
VIEWStep 2: Calculate the magnitude of the vector along DA and DB:
VIEWStep 3: Calculate the unit vector along DA and DB:
VIEWStep 4: (a) Calculate the components of the tension along DA:
VIEWStep 5: (b) Find the tension along DB and weight:
VIEWStep 6: (b) Calculate the tension along DC:
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