The general process (not referenced to Figure 1) to calculate the moment of a force about a specified axis is as follows: The magnitude of a moment about a line segment connecting points P and Q due to a force F applied at point R (with R not on the line through P and Q) can be calculated using the scalar triple product, MPQ = upQ.rx F, where r is a position vector from any point on the line through P and Q to R and upq is the unit vector in the direction of line segment PQ. The unit vector up is then multiplied by this magnitude to find the vector representation of the moment. As shown in the figure, the member is anchored at A and section AB lies in the x-y plane. The dimensions are ₁ = 1.3 m, y₁ = 1.8 m, and z₁ = 1.6 m. The force applied at point C is F [-235 i+95 j + 130 k] N. = Part A - Finding the scalar triple product Which of the following equations correctly evaluates the scalar triple product of three Cartesian vectors R, S, and T? You did not open hints for this part. ANSWER: R-SXT = R(S,T-ST) i-R,(ST-ST)j+R(ST, - S₁T.) k OR-SXT = R(ST - STy) + R₁(ST-ST)+ R₂(S,T₁ - S₁T™) OR SXT = R(ST-ST) + R₁(ST-ST)j+R(ST-ST) k OR SXT = R(ST-ST) - R(ST-ST)+R (ST, - S₁T.) Part B - Calculating the moment about AB using the position vector AC Using the position vector from A to C, calculate the moment about segment AB due to force F. Express the individual components to three significant figures, if necessary, separated by commas. You did not open hints for this part. ANSWER: MAB =[ i,j, k] N-m Part C - Calculating the moment about AB using the position vector BC Using the position vector from B to C, calculate the moment about segment AB due to force F. Express the individual components to three significant figures, if necessary, separated by commas. You did not open hints for this part. B ANSWER: MAB =[ i,j, k] N.m
The general process (not referenced to Figure 1) to calculate the moment of a force about a specified axis is as follows: The magnitude of a moment about a line segment connecting points P and Q due to a force F applied at point R (with R not on the line through P and Q) can be calculated using the scalar triple product, MPQ = upQ.rx F, where r is a position vector from any point on the line through P and Q to R and upq is the unit vector in the direction of line segment PQ. The unit vector up is then multiplied by this magnitude to find the vector representation of the moment. As shown in the figure, the member is anchored at A and section AB lies in the x-y plane. The dimensions are ₁ = 1.3 m, y₁ = 1.8 m, and z₁ = 1.6 m. The force applied at point C is F [-235 i+95 j + 130 k] N. = Part A - Finding the scalar triple product Which of the following equations correctly evaluates the scalar triple product of three Cartesian vectors R, S, and T? You did not open hints for this part. ANSWER: R-SXT = R(S,T-ST) i-R,(ST-ST)j+R(ST, - S₁T.) k OR-SXT = R(ST - STy) + R₁(ST-ST)+ R₂(S,T₁ - S₁T™) OR SXT = R(ST-ST) + R₁(ST-ST)j+R(ST-ST) k OR SXT = R(ST-ST) - R(ST-ST)+R (ST, - S₁T.) Part B - Calculating the moment about AB using the position vector AC Using the position vector from A to C, calculate the moment about segment AB due to force F. Express the individual components to three significant figures, if necessary, separated by commas. You did not open hints for this part. ANSWER: MAB =[ i,j, k] N-m Part C - Calculating the moment about AB using the position vector BC Using the position vector from B to C, calculate the moment about segment AB due to force F. Express the individual components to three significant figures, if necessary, separated by commas. You did not open hints for this part. B ANSWER: MAB =[ 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
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![The general process (not referenced to Figure 1) to calculate the moment of a force about a specified axis is as follows:
The magnitude of a moment about a line segment connecting points P and Q due to a force F applied at point R (with R not on the line through P and Q) can
be calculated using the scalar triple product,
MPQ = upQ.rx F,
where r is a position vector from any point on the line through P and Q to R and upq is the unit vector in the direction of line segment PQ. The unit vector
up is then multiplied by this magnitude to find the vector representation of the moment.
As shown in the figure, the member is anchored at A and section AB lies in the x-y plane. The dimensions are ₁ = 1.3 m, y₁ = 1.8 m, and z₁ = 1.6 m. The
force applied at point C is F [-235 i+95 j + 130 k] N.
=
Part A - Finding the scalar triple product
Which of the following equations correctly evaluates the scalar triple product of three Cartesian vectors R, S, and T?
You did not open hints for this part.
ANSWER:
R-SXT = R(S,T-ST) i-R,(ST-ST)j+R(ST, - S₁T.) k
OR-SXT = R(ST - STy) + R₁(ST-ST)+ R₂(S,T₁ - S₁T™)
OR SXT = R(ST-ST) + R₁(ST-ST)j+R(ST-ST) k
OR SXT = R(ST-ST) - R(ST-ST)+R (ST, - S₁T.)
Part B - Calculating the moment about AB using the position vector AC
Using the position vector from A to C, calculate the moment about segment AB due to force F.
Express the individual components to three significant figures, if necessary, separated by commas.
You did not open hints for this part.
ANSWER:
MAB =[
i,j, k] N-m
Part C - Calculating the moment about AB using the position vector BC
Using the position vector from B to C, calculate the moment about segment AB due to force F.
Express the individual components to three significant figures, if necessary, separated by commas.
You did not open hints for this part.
B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5fc9088-6d0a-4312-bffe-77961b56b51f%2Fdf4fca85-5692-40de-8a7f-618f5bcc6313%2Fnvvpxqn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The general process (not referenced to Figure 1) to calculate the moment of a force about a specified axis is as follows:
The magnitude of a moment about a line segment connecting points P and Q due to a force F applied at point R (with R not on the line through P and Q) can
be calculated using the scalar triple product,
MPQ = upQ.rx F,
where r is a position vector from any point on the line through P and Q to R and upq is the unit vector in the direction of line segment PQ. The unit vector
up is then multiplied by this magnitude to find the vector representation of the moment.
As shown in the figure, the member is anchored at A and section AB lies in the x-y plane. The dimensions are ₁ = 1.3 m, y₁ = 1.8 m, and z₁ = 1.6 m. The
force applied at point C is F [-235 i+95 j + 130 k] N.
=
Part A - Finding the scalar triple product
Which of the following equations correctly evaluates the scalar triple product of three Cartesian vectors R, S, and T?
You did not open hints for this part.
ANSWER:
R-SXT = R(S,T-ST) i-R,(ST-ST)j+R(ST, - S₁T.) k
OR-SXT = R(ST - STy) + R₁(ST-ST)+ R₂(S,T₁ - S₁T™)
OR SXT = R(ST-ST) + R₁(ST-ST)j+R(ST-ST) k
OR SXT = R(ST-ST) - R(ST-ST)+R (ST, - S₁T.)
Part B - Calculating the moment about AB using the position vector AC
Using the position vector from A to C, calculate the moment about segment AB due to force F.
Express the individual components to three significant figures, if necessary, separated by commas.
You did not open hints for this part.
ANSWER:
MAB =[
i,j, k] N-m
Part C - Calculating the moment about AB using the position vector BC
Using the position vector from B to C, calculate the moment about segment AB due to force F.
Express the individual components to three significant figures, if necessary, separated by commas.
You did not open hints for this part.
B
![ANSWER:
MAB =[
i,j, k] N.m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5fc9088-6d0a-4312-bffe-77961b56b51f%2Fdf4fca85-5692-40de-8a7f-618f5bcc6313%2Fokf0vat_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ANSWER:
MAB =[
i,j, k] N.m
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