Review To use the conditions of equilibrium to solve for unknown forces in a three-dimensional force system. Part A For particle equilibrium, the sum of all forces must be Four forces are shown: F1, F2, F3, and F4. (Figure 1) Classify the x, y, and z components of each vector as being less than zero, equal to zero, or greater than zero. zero: ΣF-0 If the forces are resolved into their i, j, and k components, the condition for equilibrium becomes Drag the appropriate items to their respective bins. ΣΕi+ΣFj +ΣFk = which results in the following three scalar component equations that can be used to solve for unknowns: Reset Help EF: = 0 EF, = 0 ΣΕ-0 Figure 1 of 1> Less than zero Equal to zero Greater than zero F2 Fax Fay Fax Fay F22 Fax Fiz]Fay Faz Fax Fay y F4

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+ Three-dimensional Force Systems
4 of 14
Learning Goal:
II Review
To use the conditions of equilibrium to solve for
unknown forces in a three-dimensional force system.
Part A
For particle equilibrium, the sum of all forces must be
Four forces are shown: F1, F2, F3, and F4- (Figure 1) Classify the x, y, and z components of each vector
as being less than zero, equal to zero, or greater than zero.
zero:
ΣF=0
If the forces are resolved into their i, j, and k
components, the condition for equilibrium becomes
Drag the appropriate items to their respective bins.
ΣΕi+Σ Fj + Σ Fk = 0
Reset Help
which results in the following three scalar component
equations that can be used to solve for unknowns:
EF, = 0
EF, = 0
ΣΕ-0
Figure
< 1 of 1 >
Less than zero
Equal to zero
Greater than zero
F3
F2
Fax
Fay
F2x
Fay
Fsz
F2z
Fx FizFay
Far
Fax
Fay
y
F4
Transcribed Image Text:+ Three-dimensional Force Systems 4 of 14 Learning Goal: II Review To use the conditions of equilibrium to solve for unknown forces in a three-dimensional force system. Part A For particle equilibrium, the sum of all forces must be Four forces are shown: F1, F2, F3, and F4- (Figure 1) Classify the x, y, and z components of each vector as being less than zero, equal to zero, or greater than zero. zero: ΣF=0 If the forces are resolved into their i, j, and k components, the condition for equilibrium becomes Drag the appropriate items to their respective bins. ΣΕi+Σ Fj + Σ Fk = 0 Reset Help which results in the following three scalar component equations that can be used to solve for unknowns: EF, = 0 EF, = 0 ΣΕ-0 Figure < 1 of 1 > Less than zero Equal to zero Greater than zero F3 F2 Fax Fay F2x Fay Fsz F2z Fx FizFay Far Fax Fay y F4
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