I Review Part A Learning Goal: To understand the concept of moment of a force and how to calculate it using a vector formulation. What are the x, y, and z components of the resulting moment acting on the merry-go-round about the origin? Express your answers numerically in Newton-meters to three significant figures separated by commas. A man wishes to spin a merry-go-round in the x-y plane centered at the origin (0.000, 0.000, 0.000). (Figure 1) Because he must pull upward and cannot stand on the merry-go-round, he must apply a force in the direction of the unit vector u= (-1/3)i + (2/3)j + (2/3)k. He pulls with a force F = 147 N from point A [(1.10, 1.40, 0.000) m]. > View Available Hint(s) M2, My, Mẹ = 137,-108,176 N- m Submit Previous Answers v Correct Because a merry-go-round is free to rotate about the z axis, a moment about the x or y axis is easily overlooked. Just because a body is not free to rotate in a direction does not mean that a moment's component does not exist in that direction. For example, a moment about the x or y axis on a poorly designed merry-go-round can cause the merry-go-round to wobble up and down. Part B Figure < 1 of 1> Find M, the magnitude of the moment, and 0, the angle between r and the force F. Express your answers in Newton-meters and degrees to three significant figures separated by a comma. > View Available Hint(s) Vo AE I vec M0 = N.m degrees Submit Provide Feedback Next > P Pearson
I Review Part A Learning Goal: To understand the concept of moment of a force and how to calculate it using a vector formulation. What are the x, y, and z components of the resulting moment acting on the merry-go-round about the origin? Express your answers numerically in Newton-meters to three significant figures separated by commas. A man wishes to spin a merry-go-round in the x-y plane centered at the origin (0.000, 0.000, 0.000). (Figure 1) Because he must pull upward and cannot stand on the merry-go-round, he must apply a force in the direction of the unit vector u= (-1/3)i + (2/3)j + (2/3)k. He pulls with a force F = 147 N from point A [(1.10, 1.40, 0.000) m]. > View Available Hint(s) M2, My, Mẹ = 137,-108,176 N- m Submit Previous Answers v Correct Because a merry-go-round is free to rotate about the z axis, a moment about the x or y axis is easily overlooked. Just because a body is not free to rotate in a direction does not mean that a moment's component does not exist in that direction. For example, a moment about the x or y axis on a poorly designed merry-go-round can cause the merry-go-round to wobble up and down. Part B Figure < 1 of 1> Find M, the magnitude of the moment, and 0, the angle between r and the force F. Express your answers in Newton-meters and degrees to three significant figures separated by a comma. > View Available Hint(s) Vo AE I vec M0 = N.m degrees Submit Provide Feedback Next > P Pearson
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Engineering statics review
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