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Force vector F at point P produces a moment at the origin, O. Given F = {(4)i + (-5)j + (5)k} N. Mo = {(15)i

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Force vector F at point P produces a moment at the origin, O. Given F = {(4)i + (-5)j + (5)k} N. Mo = {(15)i + (11)j + (-2)k} Nm, and x = 1.6 m. N P Mo Z V O X y X determine y and 2. Note that F and Mo are in arbitrary positions on the diagram. Answer to three digits. y m m CheckGiven that a. 6.5m. I? 4.5m, c 7.5m. d 1.3m. 6 12.0411. and 9 = 35. The force F = 851V is aiong the direction of CD. Determine the moment ofthe force F about the door hinge at A by using 1315. and 1315-. Note that A and B are hinges and their exact locations are shown by black dots, they are in my plane. 2 MA: i+ j+ k)N-m Find moment MA using rm: MA: i+ j+ k)N-m A force of 108/ in the yz-plane is directly applied to the parallelepiped at point A (labeled by the red dot). Determine the magnitude of the moment caused by the force about the x-axis. Given parameters of a = 1055mm, b = 1002mm and 0 = 56". Assume counterclockwise is a positive and round answer to at least 3 significant digits. F A N . mTwo couple forces F1 = 74N and F2 = 63/ act on the frame. Given that d = 4m, 0 = 28", a = 1m, b = 2m, c = 3m, and e = 3m, resolve the forces into a and y components and compute the moment by using the following methods: b E 0 12 B C E F2 3 F1 4 G 3 F1 4 A X a) Finding the resultant moment of both moment couples. M: d i + j + k) N . m b) Summing the moments of all force components about point B. MB: N . m

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