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A force of magnitude F making an angle with the x axis is applied to a particle located along axis of rotation A, at Cartesian coordinates (0, 0) in the figure. The vector Flies in the xy plane, and the four axes of rotation A, B, C, and D all lie perpendicular to the xy plane. (Figure 1) Figure B To C 1 of 1 A particle is located at a vector position 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 the torque 7 about this axis due to a force Facting on the particle is given by TrF sin(a) = (moment arm). F = TF₁, where a is the angle between 7 and F, r is the magnitude of F, F is the magnitude of F, the component of that is perpendicular to F is the moment arm, and F₁ 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 a in the above equation in terms of 0, 0, and/or when entering your answers. Keep in mind that π = 180 degrees and (π/2) = 90 degrees. ▼ Part A What is the torque Tabout axis A due to the force F? Express the torque about axis A at Cartesian coordinates (0,0). View Available Hint(s) ΠΙ ΑΣΦ 3 TA= Submit Part B XXX ? What is the torque TB about axis B due to the force F? (B is the point at Cartesian coordinates (0, b), located a distance y axis.) Express the torque about axis B in terms of F, 0, 0, π, and/or other given coordinate data. from the origin along the

A force of magnitude F making an angle with the x axis is applied to a particle located along axis of rotation A, at Cartesian coordinates (0, 0) in the figure. The vector Flies in the xy plane, and the four axes of rotation A, B, C, and D all lie perpendicular to the xy plane. (Figure 1) Figure B To C 1 of 1 A particle is located at a vector position 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 the torque 7 about this axis due to a force Facting on the particle is given by TrF sin(a) = (moment arm). F = TF₁, where a is the angle between 7 and F, r is the magnitude of F, F is the magnitude of F, the component of that is perpendicular to F is the moment arm, and F₁ 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 a in the above equation in terms of 0, 0, and/or when entering your answers. Keep in mind that π = 180 degrees and (π/2) = 90 degrees. ▼ Part A What is the torque Tabout axis A due to the force F? Express the torque about axis A at Cartesian coordinates (0,0). View Available Hint(s) ΠΙ ΑΣΦ 3 TA= Submit Part B XXX ? What is the torque TB about axis B due to the force F? (B is the point at Cartesian coordinates (0, b), located a distance y axis.) Express the torque about axis B in terms of F, 0, 0, π, and/or other given coordinate data. from the origin along the

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 91CP: between points in a plane do not change when a coordinate system is rotated In other words, the...
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If possible, I really need help with parts A through D, thank you so much!

A force of magnitude F making an angle with the x axis is applied to a particle located along axis of rotation A, at Cartesian coordinates (0, 0) in the figure. The vector Flies in the xy plane, and the four axes of rotation A, B, C, and D all lie perpendicular to the xy plane. (Figure 1) Figure B A 0 D + 1 of 1 X 7 A particle is located at a vector position with respect to an axis of rotation (thus points from the axis to the point at which the particle is located). The magnitude of the torque about this axis due to a force Facting on the particle is given by t = rF sin(a) = (moment arm) · F = rF_, where a is the angle between 7 and F, r is the magnitude of ☞, F is the magnitude of F, the component of that is perpendicular to ♬ is the and F is the component of the force that is perpendicular to 7. moment arm, 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 a in the above equation in terms of 0, 0, and/or π when entering your answers. Keep in mind that π = 180 degrees and (π/2) = 90 degrees. Part A What is the torque T about axis A due to the force F? Express the torque about axis A at Cartesian coordinates (0, 0). ► View Available Hint(s) TA = Submit Part B IVE ΑΣΦ ? What is the torque TB about axis B due to the force F? (B is the point at Cartesian coordinates (0, 6), located a distance b from the origin along the y axis.) Express the torque about axis B in terms of F, 0, 0, π, and/or other given coordinate data. ► View Available Hint(s)
Transcribed Image Text:A force of magnitude F making an angle with the x axis is applied to a particle located along axis of rotation A, at Cartesian coordinates (0, 0) in the figure. The vector Flies in the xy plane, and the four axes of rotation A, B, C, and D all lie perpendicular to the xy plane. (Figure 1) Figure B A 0 D + 1 of 1 X 7 A particle is located at a vector position with respect to an axis of rotation (thus points from the axis to the point at which the particle is located). The magnitude of the torque about this axis due to a force Facting on the particle is given by t = rF sin(a) = (moment arm) · F = rF_, where a is the angle between 7 and F, r is the magnitude of ☞, F is the magnitude of F, the component of that is perpendicular to ♬ is the and F is the component of the force that is perpendicular to 7. moment arm, 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 a in the above equation in terms of 0, 0, and/or π when entering your answers. Keep in mind that π = 180 degrees and (π/2) = 90 degrees. Part A What is the torque T about axis A due to the force F? Express the torque about axis A at Cartesian coordinates (0, 0). ► View Available Hint(s) TA = Submit Part B IVE ΑΣΦ ? What is the torque TB about axis B due to the force F? (B is the point at Cartesian coordinates (0, 6), located a distance b from the origin along the y axis.) Express the torque about axis B in terms of F, 0, 0, π, and/or other given coordinate data. ► View Available Hint(s)
A force F of magnitude F making an angle with the x axis is applied to a particle located along axis of rotation A, at Cartesian coordinates (0, 0) in the figure. The vector Flies in the xy plane, and the four axes of rotation A, B, C, and D all lie perpendicular to the xy plane. (Figure 1) Figure B A 0 , D F 1 of 1 X Part C What is the torque TC about axis C due to F? (C is the point at Cartesian coordinates (c, 0), a distance c along the x axis.) Express the torque about axis C in terms of F, 0, 0, π, and/or other given coordinate data. ► View Available Hint(s) TC = Submit Part D What is the torque TD about axis D due to F? (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 F, 0, 0, π, and/or other given coordinate data. VE ΑΣΦ TD= VE ΑΣΦ Submit Request Answer ?
Transcribed Image Text:A force F of magnitude F making an angle with the x axis is applied to a particle located along axis of rotation A, at Cartesian coordinates (0, 0) in the figure. The vector Flies in the xy plane, and the four axes of rotation A, B, C, and D all lie perpendicular to the xy plane. (Figure 1) Figure B A 0 , D F 1 of 1 X Part C What is the torque TC about axis C due to F? (C is the point at Cartesian coordinates (c, 0), a distance c along the x axis.) Express the torque about axis C in terms of F, 0, 0, π, and/or other given coordinate data. ► View Available Hint(s) TC = Submit Part D What is the torque TD about axis D due to F? (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 F, 0, 0, π, and/or other given coordinate data. VE ΑΣΦ TD= VE ΑΣΦ Submit Request Answer ?
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