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A particle is located at a vector position 7 with respect to an axis of rotation (thus 7 points from the axis to the point
A particle is located at a vector position 7 with respect to an axis of rotation (thus 7 points from the axis to the point at which the particle is located). The magnitude of A force F of magnitude F making an angle O with the x axis is the torque T about this axis due to a force F acting on the particle is given by applied to a particle located along axis of rotation A, at Cartesian T= TF sin(a) = (moment arm) - F =TF1. coordinates (0, 0) in the figure. The vector F lies in the xy plane, and the four axes of rotation A. B. C, and D all lie perpendicular to where ( is the angle between + and IF'. + is the magnitude of 7. F is the magnitude of F. the component of " that is perpendicular to F is the moment arm, and FI the xy plane. (Figure 1) is the component of the force that is perpendicular to 7. Sign convention: You will need to determine the sign by analyzing the direction of the rotation that the torque would tend to produce. Recall that negative torque about an axis corresponds to clockwise rotation. In this problem, you must express the angle o in the above equation in terms of 0, @ and/or * when entering your answers. Keep in mind that * = 180 degrees and (7/2) = 90 degrees . PartA What is the torque TX about axis A due to the force Fly Express the torque about axis A at Cartesian coordinates (0, 0). View Available Hint(s) TA SubmitPart B What is the torque To about axis B due to the force J'? (B is the point at Cartesian coordinates (0, b), located a distance b from the origin along the y axis.) Express the torque about axis B in terms of F, 8, 4 , and/or other given coordinate data. View Available Hint(s) AEd Submit Part C What is the torque To about axis C due to F"? (C is the point at Cartesian coordinates (c, ()). a distance c along the x axis.) Express the torque about axis C in terms of ", 0, 4, *, and/or other given coordinate data. Figure ( View Available Hint(s) D B Submit Part D C What is the torque To about axis D due to "? (D is the point located at a distance d from the origin and making an angle @ with the x axis.) Express the torque about axis D in terms of 1", 0, @,
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