<Tutorial 3a-Chapter4 Item 2 Learning Goal: To calculate the moment of a couple and the net moment of multiple couples. A couple is defined as two parallel forces separated by a perpendicular distance d' that have the same magnitudes but opposite directions. (Figure 1) Because the resultant force is zero, the only effect of a couple is to produce a rotation; if no movement is possible, there is a tendency of rotation in a specified direction. The moment produced by a couple is called a couple moment. We can determine the moment by finding the sum of the moments of both couple forces about any arbitrary point: M-rg x F TAX F (TTA) X F. (Figure 2) From the figure, Figure 8 L. 32°C Sunny d X₂ < 4 of 5 > 0 2 of 4 Review Part B - Finding the net moment due to two couples The image below shows a beam subject to two couples. F 610 N and F₂ 840 N. (Figure 4) The dimensions are = 1.50 m, ₂ = 1.30 m, h 0.12 m, 0 40°, and 31°. What is the net moment on the beam due to the two couples? Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) ? Mc Value Units Submit Part C - Finding the required distance to produce a desired moment In the figure below, F₁ = 2.10 kN, F₂ = 2.90 kN, and F3 = 3.10 kN. (Figure 5)What distance d is required for the net couple moment on the triangle to be 810 Nm counterclockwise? Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) 0 P ? ENG O 5:14 PM 5/1/2022 2
<Tutorial 3a-Chapter4 Item 2 Learning Goal: To calculate the moment of a couple and the net moment of multiple couples. A couple is defined as two parallel forces separated by a perpendicular distance d' that have the same magnitudes but opposite directions. (Figure 1) Because the resultant force is zero, the only effect of a couple is to produce a rotation; if no movement is possible, there is a tendency of rotation in a specified direction. The moment produced by a couple is called a couple moment. We can determine the moment by finding the sum of the moments of both couple forces about any arbitrary point: (r₂ F (TB FA) X F. M=rg x F FAX F (Figure 2) < 5 of 5 > From the figure, Figure 32°C Sunny 30⁰° d Me Review | Value Units Submit Part C - Finding the required distance to produce a desired moment In the figure below, ₁2.10 kN, -2.90 kN, and - 3.10 kN. (Elgure 5)What distance d is required for the net couple moment on the triangle to be 810 Nm counterclockwise? Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) Ò ? d= Value Units Submit Part D - Finding the required force to produce a desired moment In the figure below, F₁ = 3.10 kN, F₁ = 1.10 kN, and d=670 mm. (Figure 5)What force F2 is required for the net couple moment on the triangle to be 290 N·m clockwise? Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) ▬▬ ENG 1 0 5:15 PM 5/1/2022 2 of 4 ºμÄ A 2
<Tutorial 3a-Chapter4 Item 2 Learning Goal: To calculate the moment of a couple and the net moment of multiple couples. A couple is defined as two parallel forces separated by a perpendicular distance d that have the same magnitudes but opposite directions. (Figure 1) Because the resultant force is zero, the only effect of a couple is to produce a rotation; if no movement is possible, there is a tendency of rotation in a specified direction. The moment produced by a couple is called a couple moment. We can determine the moment by finding the sum of the moments of both couple forces about any arbitrary point: M=TR X F+r₁ × −F = (re-r₁) X F. (Figure 2) From the figure, Figure 32°C Sunny 30° d < 5 of 5 > ■= μÄ A Value Review mangle to be one in counterclockwise? Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) μA A Ò ? d- Value Units Submit Part D - Finding the required force to produce a desired moment In the figure below. 3.10 kN, F = 1.10 kN, and d = 670 mm. (Figure 5)What force is required for the net couple moment on the triangle to be 290 Nm clockwise? Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) www. ? F₂ = Submit Provide Feedback Next > ■ ▬▬▬ Units < 2 of 4 ENG > 5:15 PM 5/1/2022
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