3.4.2 Learning Goal: To demonstrate the consistency of the principle of moments by calculating a moment...

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3.4.2 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 = 2.10 ft and F has magnitude F = 490 lb.(Figure 1) Figure 45 Mo = < A Part A - Calculating the moment about O using the scalar method Value 1 of 2 F Express your answer to three significant figures and include the appropriate units. View Available Hint(s) Units Figure 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. B ? 45 k < 2 of 2 (F), F (F), 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) + (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) Fadz Value = = = A. (Mo)y=Fydy= Units Part C - Calculating the moment about O due to the y component of F Value 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 they component of F? Express your answer to three significant figures and include the appropriate units. View Available Hint(s) Units Te www d ? ? k k 3.4.2 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 = 2.10 ft and F has magnitude F = 490 lb.(Figure 1) Figure 45 Mo = < A Part A - Calculating the moment about O using the scalar method Value 1 of 2 F Express your answer to three significant figures and include the appropriate units. View Available Hint(s) Units Figure 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. B ? 45 k < 2 of 2 (F), F (F), 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) + (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) Fadz Value = = = A. (Mo)y=Fydy= Units Part C - Calculating the moment about O due to the y component of F Value 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 they component of F? Express your answer to three significant figures and include the appropriate units. View Available Hint(s) Units Te www d ? ? k k