To be able to calculate couple moments. Part A A couple is defined as two parallel forces, separated by a distance, that have equal magnitudes but opposite directions. A couple only produces a rotation in a specified direction. The moment produced by a couple is called a couple moment As shown, a submarine hatch door is to be opened by applying two oppositely oriented forces of equal magnitude F = 310 N at points A and B on the hatch door wheel, The radii of the wheel's inner and outer rings are ri = 0,500 m and ra = 0,250 m respectively. (Figure 1) Calculate the moments MA and MB about point D for the forces applied at points A and B. Then, determine the resulting couple moment MR. Assume that a positive moment produces a counterclockwise rotation whereas a negative moment produces a clockwise rotation. Express your answers numerically in newton-meters to three significant figures separated by commas. > View Available Hint(s) MA MB,MR = 233,77.5,310 N m Submit Previous Answers gure < 1 of 2 > v Correct Part B Calculate the moments MA and Mg about point A for the forces applied at points A and B. Then, determine the resulting couple moment MR. Assume that a positiv produces a clockwise rotation. moment produces a counterclockwise rotation negative ent Express your answers numerically in newton-meters to three significant figures separated by commas. D > View Available Hint(s) B MA. MB, MR 0.000,310,310 N m トー→
To be able to calculate couple moments. Part A A couple is defined as two parallel forces, separated by a distance, that have equal magnitudes but opposite directions. A couple only produces a rotation in a specified direction. The moment produced by a couple is called a couple moment As shown, a submarine hatch door is to be opened by applying two oppositely oriented forces of equal magnitude F = 310 N at points A and B on the hatch door wheel, The radii of the wheel's inner and outer rings are ri = 0,500 m and ra = 0,250 m respectively. (Figure 1) Calculate the moments MA and MB about point D for the forces applied at points A and B. Then, determine the resulting couple moment MR. Assume that a positive moment produces a counterclockwise rotation whereas a negative moment produces a clockwise rotation. Express your answers numerically in newton-meters to three significant figures separated by commas. > View Available Hint(s) MA MB,MR = 233,77.5,310 N m Submit Previous Answers gure < 1 of 2 > v Correct Part B Calculate the moments MA and Mg about point A for the forces applied at points A and B. Then, determine the resulting couple moment MR. Assume that a positiv produces a clockwise rotation. moment produces a counterclockwise rotation negative ent Express your answers numerically in newton-meters to three significant figures separated by commas. D > View Available Hint(s) B MA. MB, MR 0.000,310,310 N m トー→
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![Learning Goal:
MA, MB, MR = 0.000,310,310 N. m
To be able to calculate couple moments.
Previous Answers
A couple is defined as two parallel forces, separated by a
distance, that have equal magnitudes but opposite
directions. A couple only produces a rotation in a
specified direction. The moment produced by a couple is
called a couple moment.
Submit
Correct
The two methods of calculating the couple moment in Parts A and B are equivalent and produce the same resultant
moment magnitude MR. Because it only requires one calculation, Part B's method is simpler. Choosing a reference
point along one force's line of action reduces the moment arm to zero. Therefore, when calculating a couple moment,
choose the reference point that most simplifies the calculation.
Part C
Figure
The same couple moment of 310 N m is required to open the hatch door, independent of where the couple's forces are
applied. If the forces are applied at points C and D, what force magnitude F is required to open the hatch door? (Figure 2)
< 1 of 2
Express your answer numerically in newtons to three significant figures.
F
> View Available Hint(s)
C
vec
?
F =
N
D
Submit
B
F
Provide Feedback
Next >
P Pearson](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c07c167-fa79-4244-aa7c-c889c8561e27%2F4de5cb33-5cb7-4e3e-9bb2-6ac918fa2f43%2F6e2buk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Learning Goal:
MA, MB, MR = 0.000,310,310 N. m
To be able to calculate couple moments.
Previous Answers
A couple is defined as two parallel forces, separated by a
distance, that have equal magnitudes but opposite
directions. A couple only produces a rotation in a
specified direction. The moment produced by a couple is
called a couple moment.
Submit
Correct
The two methods of calculating the couple moment in Parts A and B are equivalent and produce the same resultant
moment magnitude MR. Because it only requires one calculation, Part B's method is simpler. Choosing a reference
point along one force's line of action reduces the moment arm to zero. Therefore, when calculating a couple moment,
choose the reference point that most simplifies the calculation.
Part C
Figure
The same couple moment of 310 N m is required to open the hatch door, independent of where the couple's forces are
applied. If the forces are applied at points C and D, what force magnitude F is required to open the hatch door? (Figure 2)
< 1 of 2
Express your answer numerically in newtons to three significant figures.
F
> View Available Hint(s)
C
vec
?
F =
N
D
Submit
B
F
Provide Feedback
Next >
P Pearson
![Learning Goal:
To be able to calculate couple moments.
Part A
A couple is defined as two parallel forces, separated by a
distance, that have equal magnitudes but opposite
directions. A couple only produces a rotation in a
specified direction. The moment produced by a couple is
called a couple moment.
As shown, a submarine hatch door is to be opened by applying two oppositely oriented forces of equal magnitude F = 310N
at points A and B on the hatch door wheel. The radii of the wheel's inner and outer rings are ri = 0.500 m and r2 = 0.250 m,
respectively. (Figure 1) Calculate the moments MA and MB about point D for the forces applied at points A and B. Then,
determine the resulting couple moment MR. Assume that a positive moment produces a counterclockwise rotation whereas a
negative moment produces a clockwise rotation.
Express your answers numerically in newton-meters to three significant figures separated by commas.
• View Available Hint(s)
MA MB, MR = 233,77.5,310 N m
Submit
Previous Answers
Figure
1 of 2
Correct
F
Part B
Calculate the moments MA and MB about point A for the forces applied at points A and B. Then, determine the resulting
couple moment MR. Assume that a positive moment produces a counterclockwise rotation whereas a negative moment
produces a clockwise rotation.
Express your answers numerically in newton-meters to three significant figures separated by commas.
• View Available Hint(s)
B
F
MA, MB, MR = 0.000,310,310 N m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c07c167-fa79-4244-aa7c-c889c8561e27%2F4de5cb33-5cb7-4e3e-9bb2-6ac918fa2f43%2Fol7m6bb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Learning Goal:
To be able to calculate couple moments.
Part A
A couple is defined as two parallel forces, separated by a
distance, that have equal magnitudes but opposite
directions. A couple only produces a rotation in a
specified direction. The moment produced by a couple is
called a couple moment.
As shown, a submarine hatch door is to be opened by applying two oppositely oriented forces of equal magnitude F = 310N
at points A and B on the hatch door wheel. The radii of the wheel's inner and outer rings are ri = 0.500 m and r2 = 0.250 m,
respectively. (Figure 1) Calculate the moments MA and MB about point D for the forces applied at points A and B. Then,
determine the resulting couple moment MR. Assume that a positive moment produces a counterclockwise rotation whereas a
negative moment produces a clockwise rotation.
Express your answers numerically in newton-meters to three significant figures separated by commas.
• View Available Hint(s)
MA MB, MR = 233,77.5,310 N m
Submit
Previous Answers
Figure
1 of 2
Correct
F
Part B
Calculate the moments MA and MB about point A for the forces applied at points A and B. Then, determine the resulting
couple moment MR. Assume that a positive moment produces a counterclockwise rotation whereas a negative moment
produces a clockwise rotation.
Express your answers numerically in newton-meters to three significant figures separated by commas.
• View Available Hint(s)
B
F
MA, MB, MR = 0.000,310,310 N m
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