free endpoint B (Figure 2) The force is given by F-110 NI-145 NJ+70 Nk The dimensions are 1.25 m. g=1.70 m, and What is the moment about the origin due to the applied force F? Express the individual components of the Cartesian vector to three significant figures, separated by commas. View Available Hint(s)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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I need help with parts a,b,c. All three figures are in the corners that align with each problem :)

Learning Goal:
To use the vector cross product to calculate the moment
produced by a force, or forces, about a specified point on a
member.
The moment of a force F about the moment axis passing
through O and perpendicular to the plane containing O and F
can be expressed using the vector cross product,
Morx F. In a properly constructed Cartesian coordinate
system, the vector cross product can be calculated using a
matrix determinant:
i
j
k
TE
Ty Tz
F Fy F₂
Notice that the order of the elements of the matrix determinant
Figure
M=rx F =
2 of 3
Part B - Moment due to a force specified as a Cartesian vector
As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the
free end, point B.
(Figure 2)
The force is given by F = 110 Ni-145 Nj+70 N k. The dimensions are x₁ = 1.25 m, y₁ = 1.70 m, and
21 = 1.05 m.
What is the moment about the origin due to the applied force F?
Express the individual components of the Cartesian vector to three significant figures, separated by commas.
► View Available Hint(s)
Mo =[
Submit
ΨΕΙ ΑΣΦ
↓↑
Part C - Moment due to two forces
vec
?
i, j, k] N.m
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 = 115 Ni-110 Nj+45 N k and F2 has magnitude 165 N and direction angles
a = 142.0°, B = 72.0°, and y = 57.8°. The dimensions are x₁ = 1.40 m, y₁ = 1.85 m, and z₁ = 1.10 m.
What is the moment about the origin due to the applied forces?
Learning Goal:
To use the vector cross product to calculate the moment
produced by a force, or forces, about a specified point on a
member.
The moment of a force F about the moment axis passing
through O and perpendicular to the plane containing O and F
can be expressed using the vector cross product,
Mo = rx F. In a properly constructed Cartesian coordinate
system, the vector cross product can be calculated using a
matrix determinant:
k
Tz
F Fy F₂
Notice that the order of the elements of the matrix determinant
Figure
i
M=rx F = T Ty
.
B
1 of 3
Part A - Moment due to a force specified by magnitude and endpoints
As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the
free end, point B.
(Figure 1)
The force has magnitude F = 140 N and is directed as shown. The dimensions are ₁ = 0.450 m, x2 = 1.90 m,
Y12.30 m, and z₁ = 1.10 m.
What is the moment about the origin due to the applied force F?
Express the individual components of the Cartesian vector to three significant figures, separated by commas.
► View Available Hint(s)
15. ΑΣΦ
Mo [ 10.9, -25.8, -209
Submit
↓↑
Previous Answers
vec
X Incorrect; Try Again; 5 attempts remaining
Part B - Moment due to a force specified as a Cartesian vector
?
i, j, k] N. m
As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the
free end, point B.
(Figure 2)
Transcribed Image Text:Learning Goal: To use the vector cross product to calculate the moment produced by a force, or forces, about a specified point on a member. The moment of a force F about the moment axis passing through O and perpendicular to the plane containing O and F can be expressed using the vector cross product, Morx F. In a properly constructed Cartesian coordinate system, the vector cross product can be calculated using a matrix determinant: i j k TE Ty Tz F Fy F₂ Notice that the order of the elements of the matrix determinant Figure M=rx F = 2 of 3 Part B - Moment due to a force specified as a Cartesian vector As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the free end, point B. (Figure 2) The force is given by F = 110 Ni-145 Nj+70 N k. The dimensions are x₁ = 1.25 m, y₁ = 1.70 m, and 21 = 1.05 m. What is the moment about the origin due to the applied force F? Express the individual components of the Cartesian vector to three significant figures, separated by commas. ► View Available Hint(s) Mo =[ Submit ΨΕΙ ΑΣΦ ↓↑ Part C - Moment due to two forces vec ? i, j, k] N.m 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 = 115 Ni-110 Nj+45 N k and F2 has magnitude 165 N and direction angles a = 142.0°, B = 72.0°, and y = 57.8°. The dimensions are x₁ = 1.40 m, y₁ = 1.85 m, and z₁ = 1.10 m. What is the moment about the origin due to the applied forces? Learning Goal: To use the vector cross product to calculate the moment produced by a force, or forces, about a specified point on a member. The moment of a force F about the moment axis passing through O and perpendicular to the plane containing O and F can be expressed using the vector cross product, Mo = rx F. In a properly constructed Cartesian coordinate system, the vector cross product can be calculated using a matrix determinant: k Tz F Fy F₂ Notice that the order of the elements of the matrix determinant Figure i M=rx F = T Ty . B 1 of 3 Part A - Moment due to a force specified by magnitude and endpoints As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the free end, point B. (Figure 1) The force has magnitude F = 140 N and is directed as shown. The dimensions are ₁ = 0.450 m, x2 = 1.90 m, Y12.30 m, and z₁ = 1.10 m. What is the moment about the origin due to the applied force F? Express the individual components of the Cartesian vector to three significant figures, separated by commas. ► View Available Hint(s) 15. ΑΣΦ Mo [ 10.9, -25.8, -209 Submit ↓↑ Previous Answers vec X Incorrect; Try Again; 5 attempts remaining Part B - Moment due to a force specified as a Cartesian vector ? i, j, k] N. m As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the free end, point B. (Figure 2)
Learning Goal:
To use the vector cross product to calculate the moment
produced by a force, or forces, about a specified point on a
member.
The moment of a force F about the moment axis passing
through O and perpendicular to the plane containing O and F
can be expressed using the vector cross product,
Mo = r x F. In a properly constructed Cartesian coordinate
system, the vector cross product can be calculated using a
matrix determinant:
Ty
Tz
F₂
F Fy
Notice that the order of the elements of the matrix determinant
Figure
i j
M=rx F = rx
Z
B
F₂
3 of 3
Mo =[
Submit
Part C - Moment due to two forces
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
=
= 115 Ni-110 Nj+45 N k and F2 has magnitude 165 N and direction angles
a = 142.0°, B = 72.0°, and y = 57.8°. The dimensions are x₁ = 1.40 m, y₁ 1.85 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 =[
Submit
Provide Feedback
5 ΑΣΦ
i, j, k] N.m
↓↑ vec
?
i, j, k] N.m
Next >
Transcribed Image Text:Learning Goal: To use the vector cross product to calculate the moment produced by a force, or forces, about a specified point on a member. The moment of a force F about the moment axis passing through O and perpendicular to the plane containing O and F can be expressed using the vector cross product, Mo = r x F. In a properly constructed Cartesian coordinate system, the vector cross product can be calculated using a matrix determinant: Ty Tz F₂ F Fy Notice that the order of the elements of the matrix determinant Figure i j M=rx F = rx Z B F₂ 3 of 3 Mo =[ Submit Part C - Moment due to two forces 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 = = 115 Ni-110 Nj+45 N k and F2 has magnitude 165 N and direction angles a = 142.0°, B = 72.0°, and y = 57.8°. The dimensions are x₁ = 1.40 m, y₁ 1.85 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 =[ Submit Provide Feedback 5 ΑΣΦ i, j, k] N.m ↓↑ vec ? i, j, k] N.m Next >
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