a force f of magnitude f making an angle with the x axis is applied to a particle located along

A) The torque τA about axis A due to the force F⃗ is zero. This is because the force is applied

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A force F⃗ of magnitude F making an angle θ 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 F⃗ lies in the xy plane, and the four axes of rotation A, B, C, and D all lie perpendicular to the xyplane. A)What is the torque τA about axis A due to the force F⃗ ? Express the torque about axis A at Cartesian coordinates (0,0). B)What is the torque τB about axis B due to the force F⃗ ? (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, θ, ϕ, π, and/or other given coordinate data. C)What is the torque τC about axis C due to F⃗ ? (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, θ, ϕ, π, and/or other given coordinate data. D)What is the torque τD about axis D due to F⃗ ? (D is the point located at a distance d from the origin and making an angle ϕ with the x axis.) Express the torque about axis D in terms of F, θ, ϕ, π, and/or other given coordinate data.

          A force F⃗  of magnitude F making an angle θ 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 F⃗  lies in the xy plane, and the four axes of rotation A, B, C, and D all lie perpendicular to the xyplane.
A)What is the torque τA about axis A due to the force F⃗ ?
Express the torque about axis A at Cartesian coordinates (0,0).
B)What is the torque τB about axis B due to the force F⃗ ? (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, θ, ϕ, π, and/or other given coordinate data.
C)What is the torque τC about axis C due to F⃗ ? (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, θ, ϕ, π, and/or other given coordinate data.
D)What is the torque τD about axis D due to F⃗ ? (D is the point located at a distance d from the origin and making an angle ϕ with the x axis.)
Express the torque about axis D in terms of F, θ, ϕ, π, and/or other given coordinate data.

Added by Steven P.

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