Part B As shown, a system of cables supports a bucket. (Figure 2) The dimensions in the figure are as follows: 1 = 5.00 ft , x2 = 1.65 ft , Y1 = 1.50 ft , 42 = 3.70 ft , z1 = 3.50 ft , and z2 = 2.65 ft . If the bucket and its contents have a combined weight of W = 28.5 1lb , determine TA, TB, and Tc, the tensions in cable segments DA, DB, and DC, respectively. Express your answers numerically in pounds to three significant figures separated by commas. Figure 2 of 2 • View Available Hint(s) vec TA TB TC = lb Submit Previous Answers X Incorrect; Try Again; One attempt remaining Part C Complete previous part(s)

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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:
ΣF=0
If the forces are resolved into their i, j, and k components,
the condition for equilibrium becomes
ΣFi+Σ Fj +Σ Fk 0
which results in the following three scalar component
equations that can be used to solve for unknowns:
EF. = 0
Σ-0
EF; = 0
%3D
Transcribed Image Text: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: ΣF=0 If the forces are resolved into their i, j, and k components, the condition for equilibrium becomes ΣFi+Σ Fj +Σ Fk 0 which results in the following three scalar component equations that can be used to solve for unknowns: EF. = 0 Σ-0 EF; = 0 %3D
Part B
As shown, a system of cables supports a bucket. (Figure 2) The dimensions in the figure are as follows: T1 = 5.00 ft , T2 = 1.65 ft , y1 = 1.50 ft
, 42 = 3.70 ft , z1 = 3.50 ft , and z2 = 2.65 ft . If the bucket and its contents have a combined weight of W = 28.5 lb , determine TA, TB, and
Tc, the tensions in cable segments DA, DB, and DC, respectively.
Express your answers numerically in pounds to three significant figures separated by commas.
Figure
< 2 of 2
• View Available Hint(s)
vec
?
y2 C
X1
TA TB, TC =
lb
AK
Submit
Previous Answers
В
X Incorrect; Try Again; One attempt remaining
Part C Complete previous part(s)
Transcribed Image Text:Part B As shown, a system of cables supports a bucket. (Figure 2) The dimensions in the figure are as follows: T1 = 5.00 ft , T2 = 1.65 ft , y1 = 1.50 ft , 42 = 3.70 ft , z1 = 3.50 ft , and z2 = 2.65 ft . If the bucket and its contents have a combined weight of W = 28.5 lb , determine TA, TB, and Tc, the tensions in cable segments DA, DB, and DC, respectively. Express your answers numerically in pounds to three significant figures separated by commas. Figure < 2 of 2 • View Available Hint(s) vec ? y2 C X1 TA TB, TC = lb AK Submit Previous Answers В X Incorrect; Try Again; One attempt remaining Part C Complete previous part(s)
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