Question About a 3D Equilibrium Problem

[lc99]

Homework Statement

Homework Equations

The Attempt at a Solution

rxF
I'm trying to find the moment of the 50lb about the x,y,z axes. So, i did the vector from the origin to the top of the larger wheel crossproduct with the force vector of 50.

Thus, Vector Origin to Wheel x F vector = (0.2i +0.15k) x (50cos45j + 50sin45k) = 7.07k -7.07j - 5.3i

However, in the answer key, the moment about the x-axis isn't 5.3 but 7.5? What did i do wrong?

 

[Baluncore]

The difference in belt tension on A, is a torque on the shaft.
That torque makes it possible to calculate T in Newton in the y direction.
What value do you get for the belt B tension force T ?