A force F_vec of magnitude F making an angle theta with the x axis is applied to

Question

A force F_vec of magnitude F making an angle theta 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 F_vec lies in the xy plane, and the four axes of rotation A, B, C, and D all lie perpendicular to the xy plane.
A)What is the torque t_A about axis A due to the force F_vec?
Express the torque about axis A at Cartesian coordinates (0, 0).
B)What is the torque tau_B about axis B due to the force F_vec? (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, theta, phi, pi, and/or other given coordinate data.

Explanation / Answer

i am not sure about the position of A. is it at (0,0). if it is, then

A) torque about A = 0
B) torque about B = r X F = (-b j) x (Fcos i +Fsin j) = bFcos k

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