Learning Goal: To demonstrate the consistency of the principle of moments by calculating a moment using the scalar and vector methods and comparing the results. As shown, a curved member is fixed at point O. The radius of the member is r = 2.80 ft and F has magnitude F = 770 lb. (Figure 1) Figure 45° 1 of 2 Part A - Calculating the moment about O using the scalar method In two dimensions, the moment of a force can be calculated using the scalar method, Mo=Fd, where F is the magnitude of the force and d is the perpendicular distance from the line of force to the point where the moment being considered. Using the scalar method, calculate the moment about O due to F. Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) Mo = Submit O ■ μA Value Units O ? Part B - Calculating the moment about O due to the x component of F μà k The force vector F can be written as the sum of component vectors F = (F) + (F)y. We can use the scalar method to individually compute the contributions to the moment from the components. (Figure 2) What is the moment about O due to only the x component of F? Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) Review ?

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter5: Three-dimensional Equilibrium
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There is a part a,b,c to this question. A goes with figure 1. B and C goes with the figure 2. 

Learning Goal:
To demonstrate the consistency of the principle of
moments by calculating a moment using the scalar and
vector methods and comparing the results.
As shown, a curved member is fixed at point O. The
radius of the member is r = 2.80 ft and F has magnitude
F = 770 lb. (Figure 1)
Figure
45°
<
wwwww
1 of 2
Part A - Calculating the moment about O using the scalar method
In two dimensions, the moment of a force can be calculated using the scalar method, Mo = Fd, where F is the magnitude
of the force and d is the perpendicular distance from the line of force to the point where the moment is being considered.
Using the scalar method, calculate the moment about O due to F.
Express your answer to three significant figures and include the appropriate units.
► View Available Hint(s)
Mo
-
Submit
0
HÅ
Value
Units
www
HÅ
?
k
Part B - Calculating the moment about O due to the x component of F
The force vector F can be written as the sum of component vectors F (F) x + (F)y. We can use the scalar method to
individually compute the contributions to the moment from the components. (Figure 2)What is the moment about O due to only
the x component of F?
Express your answer to three significant figures and include the appropriate units.
► View Available Hint(s)
Review
=
?
Transcribed Image Text:Learning Goal: To demonstrate the consistency of the principle of moments by calculating a moment using the scalar and vector methods and comparing the results. As shown, a curved member is fixed at point O. The radius of the member is r = 2.80 ft and F has magnitude F = 770 lb. (Figure 1) Figure 45° < wwwww 1 of 2 Part A - Calculating the moment about O using the scalar method In two dimensions, the moment of a force can be calculated using the scalar method, Mo = Fd, where F is the magnitude of the force and d is the perpendicular distance from the line of force to the point where the moment is being considered. Using the scalar method, calculate the moment about O due to F. Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) Mo - Submit 0 HÅ Value Units www HÅ ? k Part B - Calculating the moment about O due to the x component of F The force vector F can be written as the sum of component vectors F (F) x + (F)y. We can use the scalar method to individually compute the contributions to the moment from the components. (Figure 2)What is the moment about O due to only the x component of F? Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) Review = ?
Learning Goal:
To demonstrate the consistency of the principle of
moments by calculating a moment using the scalar and
vector methods and comparing the results.
As shown, a curved member is fixed at point O. The
radius of the member is r = 2.80 ft and F has magnitude
F = 770 lb. (Figure 1)
Figure
y
<
45°
2 of 2
پر
X
F
Part B - Calculating the moment about O due to the x component of F
-
x
The force vector F can be written as the sum of component vectors F (F) + (F)y. We can use the scalar method to
individually compute the contributions to the moment from the components. (Figure 2)What is the moment about O due to only
the x component of F?
Express your answer to three significant figures and include the appropriate units.
► View Available Hint(s)
(Mo) x = Fxdx
Submit
μᾶ
Value
(Mo).. = F..d... =
Part C - Calculating the moment about O due to the y component of F
Units
HÅ
The force vector F can be written as the sum of component vectors F = (F)x + (F)y. We can use the scalar method to
individually compute the contributions to the moment from the components. (Figure 2)What is the moment about O due to only
the y component of F?
Express your answer to three significant figures and include the appropriate units.
► View Available Hint(s)
Value
I Inits
Review
k
?
Transcribed Image Text:Learning Goal: To demonstrate the consistency of the principle of moments by calculating a moment using the scalar and vector methods and comparing the results. As shown, a curved member is fixed at point O. The radius of the member is r = 2.80 ft and F has magnitude F = 770 lb. (Figure 1) Figure y < 45° 2 of 2 پر X F Part B - Calculating the moment about O due to the x component of F - x The force vector F can be written as the sum of component vectors F (F) + (F)y. We can use the scalar method to individually compute the contributions to the moment from the components. (Figure 2)What is the moment about O due to only the x component of F? Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) (Mo) x = Fxdx Submit μᾶ Value (Mo).. = F..d... = Part C - Calculating the moment about O due to the y component of F Units HÅ The force vector F can be written as the sum of component vectors F = (F)x + (F)y. We can use the scalar method to individually compute the contributions to the moment from the components. (Figure 2)What is the moment about O due to only the y component of F? Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) Value I Inits Review k ?
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