A force F 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) The vector F 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 (TA) about axis A due to the force F, expressed about axis A at Cartesian coordinates (0, 0).

b). 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 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.

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, theta, phi, pi, and/or other given coordinate data.

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 phi with the x axis.)

Express the torque about axis D in terms of F, theta, phi, pi, and/or other given coordinate data.

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