CB , yB, ZB) r=XA - B)it (yA - yB)j + (ZA - ZB)k Learning Goal: To use the conditions of equilibrium to solve for unknown forces in a three- dimensional force system. For particle equilibrium, the sum of all forces must be zero: Part B CF =0 If the forces are resolved into their i, j, and k components, the condition for equilibrium becomes As shown, a system of cables supports a bucket. (Figure 2) The dimensions in the figure are as follows: x1 = 4.60 ft , x2 = 1.50 ft , y1 = 1.15 ft , y2 = 3.55 ft , 21 = 2.70 ft , and z2 = 2.95 [FitEF,j +EF k=0 ft . If the bucket and its contents have a combined weight of W = 18.0 1b , determine TA , TB , and To, the tensions in cable segments DA, DB, and DC, respectively. which results in the following three scalar component equations that can be Express your answers numerically in pounds to three significant figures separated by commas. used to solve for unknowns: View Available Hint(s) EF = 0 EFy = 0 AEd vec CF2 = 0 IVO ? TA , TB , TC= 1b Figure 21 B D