Learning Goal: 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, Mpqupq rx F, where r is a position vector from any point on the line through P and Q to R and upo is the unit vector in the direction of line segment PQ. The unit vector upo 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 = 1.1 m, ₁1.8. m, and 21 1.6 m. The force applied at point C is. F=-175 i+145j +140 k] N. (Eigure 1) Figure R 1 of 1 Y Part A Finding the scalar triple product Which of the following equations correctly evaluates the scalar triple product of three Cartesian vectors R, S, an View Available Hint(s) OR.SXT=R₂(S,T.-S.T) +R₂(S.T.-S.T.) +R(S,T, S,T.) + R.(S.T, -S,T.) O R.SXT=R₂(S,T.-S.T₂) i-R,(S.T. - S.T.) j+R.(S,T, ST.) k O R.SXT=R₂(ST.-S.T) i+R,(S.T.-S.T.) j+R(S,T, S,T) k OR.SXT=R₂(S,T.-S.T,)-R,(ST.-S.T.) Submit 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. View Available Hint(s) VFI ΑΣΦ| Π | vec| B MAB =[ Submit ▾ Part C- Calculating the moment about AB using the position vector BC ? MAB = 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, f necessary, separated by commas. View Available Hint(s) VAX 1 vec 4 → i, j, k N-m ? i, j, k N-m
Learning Goal: 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, Mpqupq rx F, where r is a position vector from any point on the line through P and Q to R and upo is the unit vector in the direction of line segment PQ. The unit vector upo 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 = 1.1 m, ₁1.8. m, and 21 1.6 m. The force applied at point C is. F=-175 i+145j +140 k] N. (Eigure 1) Figure R 1 of 1 Y Part A Finding the scalar triple product Which of the following equations correctly evaluates the scalar triple product of three Cartesian vectors R, S, an View Available Hint(s) OR.SXT=R₂(S,T.-S.T) +R₂(S.T.-S.T.) +R(S,T, S,T.) + R.(S.T, -S,T.) O R.SXT=R₂(S,T.-S.T₂) i-R,(S.T. - S.T.) j+R.(S,T, ST.) k O R.SXT=R₂(ST.-S.T) i+R,(S.T.-S.T.) j+R(S,T, S,T) k OR.SXT=R₂(S,T.-S.T,)-R,(ST.-S.T.) Submit 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. View Available Hint(s) VFI ΑΣΦ| Π | vec| B MAB =[ Submit ▾ Part C- Calculating the moment about AB using the position vector BC ? MAB = 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, f necessary, separated by commas. View Available Hint(s) VAX 1 vec 4 → i, j, k N-m ? 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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![Learning Goal:
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 upo is the unit vector in the direction of line
segment PQ. The unit vector upo 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 = 1.1 m, ₁ = 1.8
m, and 2₁ = 1.6 m. The force applied at point C is
F=-175 +145j +140 k] N.
(Eigure 1)
Figure
3₁
B
+₂
1 of 1
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
▸ View Available Hint(s)
O R.SXT=R₂(ST.-S.T.) +R₂(S_T.-S.T.) + R.(S_T, -S,T_)
OR.SXT=R₂(ST.-S.T₂)-R₂(S.T. - S.T.) + R₂(S_T, - S,T.)
O R.SXT=R₂(ST.-S-T₂) i-R,(S.T. - S-T₂) j+R₂(S_T, - ST₂) k
O R.SXT=R₂(S,T-S-T,) i+R₂(S₂T-S₂T) j+R(S₂T, ST₂) k
Submit
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.
View Available Hint(s)
ΠΗΓΙ ΑΣΦ
MAB
Submit
vec
Part C - Calculating the moment about AB using the position vector BC
MAB =
?
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, necessary, separated by commas.
View Available Hint(s)
ΤΕΙ ΑΣΦ
1 vec
i, j, k] N.m
?
i, j, k N-m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd48b8819-fa93-4be0-8e21-0a11df5ef5a7%2F325aade0-3970-4413-adf4-e761abb7dcd5%2F4dfxcd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Learning Goal:
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 upo is the unit vector in the direction of line
segment PQ. The unit vector upo 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 = 1.1 m, ₁ = 1.8
m, and 2₁ = 1.6 m. The force applied at point C is
F=-175 +145j +140 k] N.
(Eigure 1)
Figure
3₁
B
+₂
1 of 1
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
▸ View Available Hint(s)
O R.SXT=R₂(ST.-S.T.) +R₂(S_T.-S.T.) + R.(S_T, -S,T_)
OR.SXT=R₂(ST.-S.T₂)-R₂(S.T. - S.T.) + R₂(S_T, - S,T.)
O R.SXT=R₂(ST.-S-T₂) i-R,(S.T. - S-T₂) j+R₂(S_T, - ST₂) k
O R.SXT=R₂(S,T-S-T,) i+R₂(S₂T-S₂T) j+R(S₂T, ST₂) k
Submit
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.
View Available Hint(s)
ΠΗΓΙ ΑΣΦ
MAB
Submit
vec
Part C - Calculating the moment about AB using the position vector BC
MAB =
?
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, necessary, separated by commas.
View Available Hint(s)
ΤΕΙ ΑΣΦ
1 vec
i, j, k] N.m
?
i, j, k N-m
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