As shown, a member is fixed at the origin, point O, and has two applied forces, F₁ and F2, applied at the free end, point B. (Figure 3) The forces are given by F₁ = 95 Ni-110 Nj+75 N k and F2 has magnitude 175 N and direction angles a = 158.0°, = 65.0°, and y = 78.7°. The dimensions are x₁ =1.40 m, y₁ = 1.75 m, and 21 = 1.10 m. What is the moment about the origin due to the applied forces?

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Transcribed Image Text:2 B 2
As shown, a member is fixed at the origin, point O, and has two applied forces, F₁ and F2, applied at the free
end, point B.
(Figure 3)
The forces are given by F₁ = 95 Ni - 110 Nj+75 N k and F₂2 has magnitude 175 N and direction
angles a = = 158.0°, ß = 65.0°, and y = 78.7°. The dimensions are x₁ = 1.40 m, y₁ = 1.75 m, and
21 = 1.10 m.
What is the moment about the origin due to the applied forces?
Express the individual components of the Cartesian vector to three significant figures, separated by
commas.
► View Available Hint(s)
Mo =[
ΨΕ ΑΣΦ
↓↑ vec
?
i, j, k] N. 1
• m
Transcribed Image Text:As shown, a member is fixed at the origin, point O, and has two applied forces, F₁ and F2, applied at the free end, point B. (Figure 3) The forces are given by F₁ = 95 Ni - 110 Nj+75 N k and F₂2 has magnitude 175 N and direction angles a = = 158.0°, ß = 65.0°, and y = 78.7°. The dimensions are x₁ = 1.40 m, y₁ = 1.75 m, and 21 = 1.10 m. What is the moment about the origin due to the applied forces? Express the individual components of the Cartesian vector to three significant figures, separated by commas. ► View Available Hint(s) Mo =[ ΨΕ ΑΣΦ ↓↑ vec ? i, j, k] N. 1 • m
Expert Solution
Step 1: Write the given data.

table row cell Force space straight F subscript 1 end cell equals cell 95 straight i minus 110 straight j plus 75 straight k space straight N end cell row cell Magnitude space of space straight F subscript 2 comma space open vertical bar straight F subscript 2 close vertical bar end cell equals cell 175 space straight N end cell row cell Angles comma space straight alpha end cell equals cell 158 degree comma space straight beta equals 65 degree comma space and space straight gamma equals 78.7 degree end cell row blank blank cell And comma space dimensions end cell row cell straight x subscript 1 end cell equals cell 1.40 space straight m end cell row cell straight y subscript 1 end cell equals cell 1.75 space straight m end cell row cell straight z subscript 1 end cell equals cell 1.10 space straight m end cell end table

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