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 M=rx F = T₂ Figure T% F. Fy F. .Notice that the order of < 1 of 2 Part A 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 1) The force is given by F=130 Ni-145 Nj+80 N k. The dimensions are a₁ = 1.35 m, 31 = 1.90 m, and ₁= 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 Review [ΨΕΙ ΑΣΦΠ vec n Part B - Moment due to two forces i, j, k] N.m

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 M=rx F = T₂ Figure T% F. Fy F. .Notice that the order of < 1 of 2 Part A 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 1) The force is given by F=130 Ni-145 Nj+80 N k. The dimensions are a₁ = 1.35 m, 31 = 1.90 m, and ₁= 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 Review [ΨΕΙ ΑΣΦΠ vec n Part B - Moment due to two forces i, j, k] N.m

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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Question

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:
ij k
M = rx F = T₂ Ty T.Notice that the order of
F. Fy F
Figure
B
< 1 of 2
Part A - 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 1)
The force is given by F = 130 Ni - 145 N j +80 N k. The dimensions are ₁ = 1.35 m, y₁ = 1.90 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
Π| ΑΣΦ
AΣo↓ vec 5
Part B - Moment due to two forces
Review
P
?
i, j, k] N.m

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Required information A model of a person's arm is used for ergonomics studies. Distances are rAB = 30 cm, BC = 28 cm, and rCD = 19 cm. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. y D C25° 30 Determine the position vector TAD and its magnitude rAD· The position vector TAD 1i)cm and the magnitude rAD is cm.
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